the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?

Answers

Answer 1

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

[tex]7^2 + x^2 = (x + 1)^2[/tex]

Expanding and simplifying this equation, we get:

[tex]49 + x^2 = x^2 + 2x + 1[/tex]

Now, we can cancel out [tex]x^2[/tex] from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

For more question on lengths visit:

https://brainly.com/question/28322552

#SPJ8


Related Questions

Josiah’s parents pay him for each chore he completes. He created a table to show his earnings each week for the past month.

Josiah’s Earnings

Week 1
Week 2
Week 3
Week 4
Chores Completed
4
6
4
5
Money Earned
$12
$18
$12


Which graph correctly depicts his earnings including the last week?
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (4, 12), (5, 15), and (6, 18) are plotted.
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (12, 4), (15, 5), and (18, 6) are plotted.
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (4, 12), (6, 2), (6, 18), and (8, 8) are plotted.
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (4, 12), (5, 18), and (6, 18) are plotted.

Answers

The graph that correctly depicts Josiah's earnings, where the amount he earns and the number of chores completed is a proportional relationship, is the option;

On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (4, 12), (5, 15), and (6, 18) are plotted.

What is a proportional relationship?

A proportional relationship is one in which the ratio of the terms in the ordered pairs in the relation are the same.

The table in the question can be presented as follows;

[tex]\begin{tabular}{ | c | c | c | c | c | }\cline{1-5} & Week 1& Week 2 & Week 3 & Week 4 \\ \cline{1-5}Chores Completed & 4 & 6 & 4 & 5 \\\cline{1-5}Money Earned & \$12 & \$18 & \$12 & \multicolumn{1}{|c|}{} \\\cline{1-5}\cline{1-5}\end{tabular}[/tex]

The data in the above table indicates that when Josiah completes 4 chores, he earns $12, and when he completes 6 chres he earns $18

The amount Josiah earns and the number of chores Josiah completes is a proportional relationship, which indicates;

The amount Josiah earns per chore is therefore; $12/4 = $18/6 = $3 per chore

The amount Josiah earns per chore, indicates that in week 5, the amount Josiah earns, when he completes 5 chores is; Amount earned = 5 × $3 = $15

The points on the graph are therefore; (4, 12), (6, 18), (5, 15)

The correct option is therefore; (4, 12), (5, 15), (6, 18)

Learn more on proportional relationships here: https://brainly.com/question/2463343

#SPJ1

Answer:

a

Step-by-step explanation:

...

A binomial experiment for the random variable X was performed with 10 trials. The probability of success was found
to be 0.43. Determine the following probabilities: [Round to four decimal places.]
a.) P(X= 7) =
b.) P(X < 4) =
c.) P(X> 6) =
Check

Answers

Answer:

a. 0.0369

b. 0.3822

c. 0.0468

Step-by-step explanation:

2 x + y = 8 x + y = 4 The lines whose equations are given intersect at

Answers

Answer:

(4, 0 )

Step-by-step explanation:

2x + y = 8 → (1)

x + y = 4 ( subtract x from both sides )

y = 4 - x → (2)

substitute y = 4 - x into (1)

2x + 4 - x = 8

x + 4 = 8 ( subtract 4 from both sides )

x = 4

substitute x = 4 into (2)

y = x - 4 = 4 - 4 = 0

solution is (4, 0 )

Given sec 0= radical 10/2, what is cos?

Answers

Given sec 0= radical 10/2, cos(0) is equal to √10/5.

How to find the value of cos

To find the value of cosine (cos) given the value of secant (sec), we can use the reciprocal identity between these two trigonometric functions.

The reciprocal identity states that:

sec(x) = 1/cos(x)

In this case, we are given sec(0) = √10/2.

We can rewrite this as:

1/cos(0) = √10/2

Multiplying both sides by cos(0), we get:

cos(0) * (1/cos(0)) = cos(0) * (√10/2)

The cos(0) terms cancel out on the left side, giving us:

1 = (√10/2) * cos(0)

Now, to isolate cos(0), we divide both sides by (√10/2):

1 / (√10/2) = cos(0)

To simplify the expression on the left side, we rationalize the denominator:

(1 * 2) / √10 = cos(0)

2/√10 = cos(0)

To express cos(0) in simplified radical form, we multiply the numerator and denominator by √10:

(2 * √10) / (√10 * √10) = cos(0)

(2√10) / 10 = cos(0)

Simplifying further, we get:

√10 / 5 = cos(0)

Therefore, cos(0) is equal to √10/5.

Learn more about reciprocal identity at https://brainly.com/question/33316863

#SPJ1

Using what you know about arclength, volume and surface to sketch and
calculate the following:

Answers

1. The area under the curve of f(x) = 2[tex]\sqrt{x}[/tex] from x = 1 to x = 9 is  16 square units.

2. Volume: 1936π/5 cubic units by sliding semi-circle and triangle.

3. Volume: -102π cubic units, Surface Area: (400π + 206)/3 square units.

1. To calculate the area of the region formed in the first quadrant under the function f(x) = 2 between x = 1 and x = 9, we can use integration. The integral of f(x) = 2 with respect to x from 1 to 9 is:

∫[1, 9] 2 dx = 2 * [x] evaluated from 1 to 9 = 2 * [(9) - (1)] = 2 * [8] = 16.

Therefore, the area of the region is 16 square units.

2. To calculate the volume created by sliding a semi-circle and an equilateral triangle along the x-axis, we can use the method of cylindrical shells. The volume of each shell is given by the formula:

V = 2πxf(x)dx.

We integrate the volume of each shell over the interval [1, 4] for the semi-circle and [4, 9] for the triangle:

V = ∫[1, 4] 2πx(2) dx + ∫[4, 9] 2πx(2) dx

 = 4π∫[1, 4[tex]] x^(^3^/^2^)[/tex]dx + 4π∫[4, 9] [tex]x^(^3^/^2^)[/tex]dx.

Using the power rule of integration, we have:

V = 4π * [(2/5)[tex](4^(^5^/^2^) - 1^(^5^/^2^))] + 4π * [(2/5)(9^(^5^/^2^) - 4^(^5^/^2^))][/tex]

 = 4π * [(2/5)(31)] + 4π * [(2/5)(211)]

 = 248π/5 + 1688π/5

 = 1936π/5.

Therefore, the volume created by sliding the semi-circle and equilateral triangle along the x-axis is 1936π/5 cubic units.

3. To calculate the resulting volume using two integrals, we can subtract the volume of the equilateral triangle from the volume of the semi-circle. The volume of the semi-circle is given by:

V(semi-circle) = ∫[1, 4] π[tex](2)^(2)[/tex]dx

             = π∫[1, 4] 4x dx

             = 4π∫[1, 4] x dx

             = 4π * [(1/2)x^2][tex][(1/2)x^2][/tex] evaluated from 1 to 4

             = 4π * [(1/2)(16) - (1/2)(1)]

             = 4π * [8 - 1]

             = 28π.

The volume of the equilateral triangle is given by:

V(triangle) = ∫[4, 9][tex](2)^(2)[/tex] dx

           = ∫[4, 9] 4x dx

           = 4∫[4, 9] x dx

           = 4 *[tex][(1/2)x^2][/tex]evaluated from 4 to 9

           = 4 * [(1/2)(81) - (1/2)(16)]

           = 4 * [(1/2)(65)]

           = 130.

The resulting volume is:

Volume = V(semi-circle) - V(triangle)

      = 28π - 130

      = -102π cubic units.

To calculate the surface area of the solid, we need to consider the surfaces of the semi-circle, triangle, and two quadrilaterals. The surface area of the semi-circle is given by:

Surface area(semi-circle) = ∫[1, 4] 2π(2) ds.

The differential arc length ds can be expressed as ds = [tex]\sqrt{(1 + (f'(x))^2)}[/tex] dx, where f(x) = 2. Since f(x) = 2, we have f'(x) = 0. Therefore, ds = [tex]\sqrt{(1 + 0^2) }[/tex]dx = dx.

Substituting this in the integral, we have:

Surface area(semi-circle) = ∫[1, 4] 2π(2) dx

                       = 4π∫[1, 4] 2 dx

                       = 8π * [tex][(2/3)x^3][/tex] evaluated from 1 to 4

                       = 8π * [(2/3)(64) - (2/3)(1)]

                       = 8π * [128/3 - 2/3]

                       = 8π * (126/3)

                       = 336π.

The surface area of the triangle is given by:

Surface area(triangle) = ∫[4, 9] (2) dx

                     = 2∫[4, 9] dx

                     = 2 * [x] evaluated from 4 to 9

                     = 2 * [(9) - (4)]

                     = 2 * [5]

                     = 10.

The surface area of the two quadrilaterals is equal to the sum of the areas of the semi-circle and triangle, which is:

Surface area(quadrilaterals) = 2 * (28π + 130)

                           = 2 * (28π + 130π/1)

                           = 316π.

Therefore, the total surface area of the solid is:

Surface area = Surface area(semi-circle) + Surface area(triangle) + Surface area(quadrilaterals) - Difference between the semi-circle and the triangle at x = 4

            = 336π + 10 + 316π - (28π - 130)

            = 400π + 206.

For more such information on: area

https://brainly.com/question/25292087

#SPJ8

Angle of elevation 16 and height 220 ft what is the distance to the base of the object show work please and include units this is for a final

Answers

Given, the angle of elevation of the object from the observer's eye is 16° and the height of the object is 220 ft. So, the required answer is 697.44 ft (Approx).

What is the distance to the base of the object? Let AB be the height of the object, A be the position of the observer, and C be the position of the base of the object.

As per the diagram, we get; In right ΔABC, the Angle of elevation of the object = Angle BAC = 16°

We need to find the distance BC.So, we have; tan 16° = AB/BC  [∵ tan 16° = Perpendicular/Base = AB/BC]

tan 16° × BC = AB   [By cross-multiplication]

BC = AB/tan 16° [Dividing both sides by tan 16°]

BC = 220 ft/tan 16°

BC = 697.44 ft (Approx). Therefore, the distance to the base of the object is 697.44 ft (Approx). Hence, the required answer is 697.44 ft (Approx).

For more questions on: angle of elevation

https://brainly.com/question/30738434

#SPJ8    

A fish tank with a rectangular base 80 cm by 40 cm contained 33.6 liters of water. water was poured into the tank until it was 60% full. Mr Hoi found that it had contained 62.4 litres of water more than before. what is the height of the fish tank?
Answer ASAP

Answers

The height of the fish tank is 75 cm. The tank is filled to 60% of its capacity, so the total volume of water is 60% of the tank's.

To find the height of the fish tank, we can follow these steps:

Step 1: Calculate the volume of the tank before the water was poured.

The base of the tank has dimensions 80 cm by 40 cm, so the initial volume of the tank is given by:

Volume_before = length * width * height

             = 80 cm * 40 cm * h

             = 3200h cm³

Step 2: Calculate the volume of water that was poured into the tank.

The tank was initially filled with 33.6 liters of water, which is equivalent to 33,600 cm³.

Step 3: Calculate the additional volume of water poured into the tank.

The additional volume of water is 62.4 liters, which is equivalent to 62,400 cm³.

Step 4: Calculate the total volume of water after pouring.

The total volume of water in the tank after pouring is:

Total_volume = Volume_before + Volume_poured

            = 3200h cm³ + 33,600 cm³ + 62,400 cm³

            = 3200h cm³ + 96,000 cm³

Step 5: Calculate the height of the tank.

The tank is filled to 60% of its capacity, so the total volume of water is 60% of the tank's volume. We can set up the following equation:

Total_volume = 0.6 * Volume_before

3200h cm³ + 96,000 cm³ = 0.6 * 3200h cm³

Simplifying the equation:

3200h cm³ + 96,000 cm³ = 1920h cm³

1280h cm³ = 96,000 cm³

h = 96,000 cm³ / 1280 cm³

h = 75 cm

Therefore, the height of the fish tank is 75 cm.

for more such question on height visit

https://brainly.com/question/28990670

#SPJ8

HELP PLEASE!!!!! Graph the linear inequality>>>.

Answers

The exponential equation to model this scenario is given  by y = 200(0.85)ˣ

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A linear inequality has the form of a linear equation, showing the non equal comparison between numbers and variables.

The linear inequality y ≤ (1/3)x - 5 passes through the point (0, -5) and (15, 0)

Find out more on equation at: https://brainly.com/question/29797709

#SPJ1

Find the resulting vector matrix of this matrix multiplication. [ 6 -5 -3 4 ] × [ -1 3 ] = [ a b ] a = , and b = .

Answers

The resulting vector matrix is [ -21 3 ]. Therefore, a = -21, and b = 3.

To find the resulting vector matrix of the given matrix multiplication, we need to multiply the first matrix, which is a 1x4 matrix, by the second matrix, which is a 4x1 matrix. The resulting matrix will be a 1x1 matrix (a scalar).

The calculation would be as follows:

[ 6 -5 -3 4 ] × [ -1 ] = [ (6 * -1) + (-5 * 3) + (-3 * 0) + (4 * 0) ]

[ 3 ]

Calculating the values:

[ (6 * -1) + (-5 * 3) + (-3 * 0) + (4 * 0) ]

[ 3 ]

= [ -6 - 15 + 0 + 0 ]

[ 3 ]

= [ -21 ]

[ 3 ]

So, the resulting vector matrix is [ -21 3 ]. Therefore, a = -21, and b = 3.

For such more questions on Vector Matrix Result

https://brainly.com/question/21752923

#SPJ8

The table below shows an inequality and a number by which to multiply both sides.
Inequality
-2<3
Multiply each
side by
-5
What is the resulting true inequality?
O-10 <-15
O-10>-15
O 10 <-15
O 10 >-15

Answers

The resulting true inequality from -2 < 3 is 10 > -15

How to determine what the resulting true inequality is?

From the question, we have the following parameters that can be used in our computation:

Inequality

-2 < 3

Also, we have

Multiply each side by -5

Using the above as a guide, we have the following:

-5 * -2 < 3 * -5

Evaluate

10 > -15

Hence, the inequality is 10 > -15

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

In the space provided below, write the converse of each of the following statements and tell whether the converse is true or false.
a) If A, then B.
b) Rain implies wet
c) If an angle is 45 degrees angle, then it is acute.
d) If a quadrilateral is a square, then all sides of this quadrilateral are congruent.

Answers

The converse of statement a) is undetermined, the converse of statement b) is generally false, the converse of statement c) is false, and the converse of statement d) is false.

To write the converses of the given statements and determine their truth value, let's examine each statement individually:

a) Original Statement: If A, then B.

Converse: If B, then A.

The converse of the original statement is true if and only if the original statement is true. The truth value of the converse cannot be determined without additional information about the relationship between A and B.

b) Original Statement: Rain implies wet.

Converse: Wet implies rain.

The converse of the original statement is generally false. The fact that something is wet does not necessarily mean that it rained. Wetness can be caused by various factors other than rain, such as water spills, humidity, or other sources of moisture.

c) Original Statement: If an angle is a 45-degree angle, then it is acute.

Converse: If an angle is acute, then it is a 45-degree angle.

The converse of the original statement is false. Not all acute angles are 45 degrees. Acute angles can have a range of measures less than 90 degrees, but they are not limited to being 45 degrees specifically.

d) Original Statement: If a quadrilateral is a square, then all sides of this quadrilateral are congruent.

Converse: If all sides of a quadrilateral are congruent, then it is a square.

The converse of the original statement is false. Not all quadrilaterals with congruent sides are squares. A rhombus, for example, is a quadrilateral with all sides congruent but is not necessarily a square.

In conclusion, the converse of statement a) is undetermined, the converse of statement b) is generally false, the converse of statement c) is false, and the converse of statement d) is false.

for more such question on converse  visit

https://brainly.com/question/30101827

#SPJ8

Find the width of a photograph whose length is 24 inches and whose proportions are the same as a photograph that is 3 inches wide by 4 inches long

Answers

SOLUTION:

First, we can set up a proportion to find the ratio of the width to length for the photograph:

[tex]\dfrac{\text{width}}{\text{length}} = \dfrac{3}{4}[/tex]

We can then use this ratio to find the width of the photograph with a length of 24 inches:

[tex]\dfrac{\text{width}}{24\text{ in}} = \dfrac{3}{4}[/tex]

To solve for the width, we can cross-multiply:

[tex]4\text{width} = 72\text{ in}[/tex]

Then divide by 4:

[tex]\text{width} = \boxed{18\text{ in}}[/tex]

[tex]\therefore[/tex] The width of the photograph is 18 inches.

[tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

HOPE THIS HELPS!

The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?

Answers

The statement "Each invitation costs $1.50 to print" is not true based on the given function. The cost depends on the number of invitations printed, as represented by c = 2.50(n – 2) + 1.50.

Among the given statements, the one that is not true is: "One can not print just one invitation."

The given function states that the cost of printing n invitations is represented by c = 2.50(n - 2) + 1.50. This function suggests that for each additional invitation beyond two, it costs an extra $2.50 to print. However, the function does not impose any restriction on the minimum number of invitations that can be printed.

Therefore, it is indeed possible to print just one invitation. The cost for one invitation would be c = 2.50(1 - 2) + 1.50 = 2.50(-1) + 1.50 = -2.50 + 1.50 = -1.00 dollars. Although printing a negative cost may not make practical sense, the statement that one cannot print just one invitation is not true based on the given function.

for such more question on function

https://brainly.com/question/11624077

#SPJ8

Question

The function c = 2.50(n – 2) + 1.50 represents the cost c in dollars of printing n invitations. Which of the following is not true? One can not print just one invitation. Each invitation costs $1.50 to print For each additional invitation, it costs an extra $2.50 to print. The cost depends on the number of invitations printed.

Y is directly proportional to x when y = 30 x=6 work out the value of y when x= 12

Answers

Answer:

y = 60

Step-by-step explanation:

given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

to find k use the condition when y = 30 , x = 6

30 = 6k ( divide both sides by 6 )

5 = k

y = 5x ← equation of proportion

when x = 12 , then

y = 5 × 12 = 60

What is the end behavior of the graph?

Answers

Answer: the second option.

A movie rental store gives a free popcorn to every 15th customer and a free movie rental to every 40th customer. Which customer was the first to win both​ prizes?

Answers

The 120th customer.

15x8 = 120
40x3 = 120

Parallelogram Properties - Diagonals
Jun 06, 4:06:26 PM
In parallelogram JKLM if LJ-46 find LN.
J
K
N
M

Answers

If LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK

To find the length of LN in parallelogram JKLM, we can utilize the properties of parallelograms, particularly the diagonals.

In a parallelogram, the diagonals bisect each other. This means that the diagonal LN divides the parallelogram into two congruent triangles, JLN and KLN.

Given that LJ is 46 units, we know that LK, the other half of the diagonal, is also 46 units.

Now, we have a triangle JLN, in which we know LJ (46 units) and LK (46 units). Since JL and LK are congruent sides of a triangle, we can conclude that JLKN is an isosceles trapezoid.

In an isosceles trapezoid, the diagonals are also congruent. Therefore, LN is equal in length to JK.

Hence, LN = JK.

Since we don't have any specific information about the length of JK provided in the question, we cannot determine the exact length of LN without additional information. However, we can say that LN is equal in length to JK based on the properties of parallelograms and isosceles trapezoids.

In summary, if LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK. However, without knowing the length of JK specifically, we cannot determine the exact length of LN.

for more such question on parallelogram visit

https://brainly.com/question/970600

#SPJ8

50 Pts!!!!!


What is the value today of a car purchased 5 years ago for $7,950.00?




Value of car = $

Answers

The estimated value of the car today would be around $1,987.50.

The value of a car purchased 5 years ago for $7,950.00 would depend on various factors, including the make, model, condition, mileage, market demand, and depreciation rates.

However, without specific details about the car, it is difficult to provide an accurate value. Generally, vehicles depreciate over time due to wear and tear, technological advancements, and changing market conditions.

On average, cars can depreciate between 15% and 25% annually. Considering this range, the car's value today could be estimated by applying an average annual depreciation rate.

Assuming a conservative depreciation rate of 15% per year, the value of the car after 5 years would be approximately:

[tex]\$7,950.00 - (5 years \times 15\% \$7,950.00) = \$7,950.00 - \$5,962.50 = \$1,987.50[/tex]

However, it's important to note that this is a rough estimate, and the actual value could vary based on the factors mentioned earlier. To get a more accurate value, it's recommended to consult sources like used car price guides, local market listings, or professional appraisers.

For more such questions on estimated value

https://brainly.com/question/29112017

#SPJ8

Find (a) the range and (b) the standard deviation for the sample.
(a) The range is.
(Round to one decimal place as needed.)
(b) The standard deviation is.
(Round to one decimal place as needed.)
Value Frequency
23456
33421

Answers

(a) The range is 1.38.

(b) The standard deviation is 0.46.

How to calculate the range of a data set?

In Mathematics and Statistics, the range of a data set can be calculated by using this mathematical expression;

Range of data set = Highest number - Lowest number

Range of data set = 85.63 - 84.25

Range of data set = 1.38.

In Mathematics and Statistics, the standard deviation of any data set can be calculated by using this formula:

Standard deviation, δx = √(1/n × ∑(x - [tex]\bar{x}[/tex])²)

Mean = (85.54+84.33+85.15+85.63+84.25+85.18+84.78+85.36+85.04)/9

Mean = 85.03

Standard deviation, δx = √[(85.54-85.03)² + (84.33-85.03)² + (85.15-85.03) + (85.63-85.03)² + (84.25-85.03)² + (85.18-85.03)² + (84.78-85.03)² + (85.36-85.03)² + (85.04-85.03)²

Standard deviation, δx = √0.21

Standard deviation, δx = 0.46.

Read more on standard deviation here: brainly.com/question/14467769

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s).
Two shaded triangles are graphed in an x y plane. The vertices are as follows: first: A (8, 8), B (10, 4), and C (2, 6); second: A prime (6, negative 8), B (8, negative 4), and C (0, negative 6).
We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of
2
unit(s)
and a
across the
x
-axis.

Answers

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of 2 units left and a reflection across the x-axis.

How to perform the sequence of transformations on triangle ABC?

In Mathematics and Geometry, the translation of a graph to the left means a digit would be subtracted from the numerical value on the x-coordinate of the pre-image:

g(x) = f(x + N)

In order to apply a translation of two (2) units to the left to triangle ABC, we would use this transformation rule;

(x, y)                               →                  (x - 2, y)

A (8, 8)                         →                    A (6, 8).

B (10, 4)                         →                   B (8, 4).

C (2, 6)                         →                    C (0, 6).

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

Next, we would reflect triangle ABC across the x-axis as follows;

(x, y)                            →                      (x, -y)

A (6, 8)                         →                    A' (6, -8).

B (8, 4)                         →                    B' (8, -4).

C (0, 6)                         →                    C' (0, -6).

Read more on reflection here: brainly.com/question/20602330

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please

Answers

Answer:

2

Step-by-step explanation:

1+1=2

A televison and dvd player cost a total of $1164. The cost of the television is two times the cost of the dvd player. Find the cost of each item

Answers

Answer:

388 for the DVD

776 for the TV

Step-by-step explanation:

$1164= 2x + x

1164÷3

2[388] + 388 = 1164

A study is performed in a large Oklahoma town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average. A random sample of the weekly grocery bills of the four-person families in this town is in this spreadsheet Download spreadsheet. Assume the national average amount spent on food for a four-person family is $150. Using a two-tailed t distribution, answer the following questions.

Answers

a. The null  hypotheses  H0: u = 150

The  alternative hypotheses for this situation : H1: u ≠ 150

b. We reject null hypothesis at 1% level of significance

c. We reject the null hypothesis at the 10% level  at X<= 146.03

X>=153.97

How do we calculate?

a.

H0: u = 150

H1: u ≠ 150

b.

Total sum = 15933.24

N = 100

Mean = 15933.24/100

= 159.3324

σ² = 25954.03 - (159.3324)²/100

σ² = 556.213

σ = √556.213

σ = 23.8162

Testing hypothesis

t = (bar x - u)/ σ/√n

= 159.3324-150/23.8162/√100

= 3.91

We will have a p value of 0.02

0.0002 < 0.01

Therefore, we reject null hypothesis at 1% level of significance

C.

Mean = 159.3324

Se= 2.3936

Df = 100-1 = 99

The Critical value at 0.01 = +-2.626

T = x-u/s.e

= -2.626 =( x -150)/2.3936

When we cross multiply and solve this

X = 143.714 for the lower tail

2.626 = (x-159)/2.3936

= 156.286 for upper tail.

We therefore reject H0 at

Bar X <= 143.71

Bar X >= 156.286

At 10%, Critical t = 1.660

-1.660 = (x - 150)/2.3936

X =146.02 at the lower tail

1.660 = (x-150)/2.3936

X = 153.97

We reject H0 at

X<= 146.03

X>=153.97

Learn more about null hypotheses at: https://brainly.com/question/4436370

#SPJ1

The area of a square shaped table is 144/64 square meters. Find the length of a side of the table.

Answers

The length of a side of the square-shaped table is 1.5 meters.

To find the length of a side of the square-shaped table, we need to calculate the square root of the given area.

The area of a square is given by the formula:

Area = side length * side length

In this case, we have:

Area = 144/64 square meters

To find the side length, we take the square root of the area:

√(144/64) square meters

To simplify the calculation, we can express 144 and 64 as the square of their factors:

√((12^2)/(8^2)) square meters

Taking the square root of the numerator and the denominator separately, we have:

(√12^2) / (√8^2) square meters

Simplifying further, we get:

12/8 square meters

The fraction 12/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(12 ÷ 4) / (8 ÷ 4) square meters

3/2 square meters

Therefore, the length of a side of the table is 3/2 square meters or 1.5 meters.

For more such question on length visit:

https://brainly.com/question/28322552

#SPJ8

PLEASE HELP ME ANSWER THIS QUESTION, THANKS!

Answers

Answer:

(a) therefore the equation is

a(t) = -1000t + 32800

Step-by-step explanation:

(a) a(t) = mt + b

(8, 24800). ( 20, 12800)

(t, a). ( t¹ , a¹)

slope or gradient, m = a¹ - t¹

a - t

m = 12800 - 24800

20 - 8

m = -12000

12

m = -1000

The slope is -1000

let's use (8, 24800) to find b.

24800 = -1000 (8) + b

24800 = -8000 + b

b= 24800 + 8000

b = 32800

therefore the equation is

a(t) = -1000t + 32800

(b) Since the slope is negative (-1000), it means that the altitude is decreasing at a constant rate of 1000 feet per minute. The negative sign indicates the descent, as the altitude is decreasing over time.

Therefore, the slope tells us that the plane is descending at a constant rate of 1000 feet per minute.

(c) The value 32800 tells us the initial altitude of the plane before descending. It indicates the starting point or the initial position of the aircraft above the ground level.

Therefore, the value 32800 represents the initial altitude of the plane before it began descending.

The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the annual percentage rate is 15.6% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.

Given:

Average daily balance for November = $700

Unpaid balance at the end of November = $1,400

Annual percentage rate (APR) = 15.6%

Step 1: Calculate the interest charged for the month of November.

Interest = (Average daily balance * APR * Number of days in the month) / 365

Number of days in November = 30

Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)

Step 2: Add the interest to the unpaid balance to get the total balance on December 1.

Total balance = Unpaid balance + Interest

Total balance = $1,400 + $36.44 = $1,436.44

Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).

The total balance on the next billing date December 1 is $1,509.20.

What is an annual percentage rate?

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).

Given,

The average daily balance of a credit card for November = is $700Unpaid balance at the end of the month = $1,400The annual percentage rate = 15.6%

Then, the percentage rate for November = [tex]\sf\frac{15.6}{100}[/tex] × 700

[tex]\sf = \$109.20[/tex]

Balance on 1st December = unpaid balance at the end of November + percentage rate

[tex]\sf = $1400 +$109.20[/tex]

[tex]\sf =\$1509.20[/tex]

Therefore, the total balance on the next billing date December 1 is $1,509.20.

To learn more about percentage rate, visit:

https://brainly.com/question/30127793

Need help with this answer

Answers

Answer:

2 groups of 7 children and

1 group of 2

Step-by-step explanation:

if you want to find out how many times it would take? divide 16 by 7

= 2

and 2 left

because 7 * 2 = 14

16-14 = 2

Hope you understand

Write the domain and range of the function using interval notation

Answers

The domain and the range of the function are (-∝, ∝) and (-1, ∝), respectively

Calculating the domain and range of the graph?

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is a polynomial function

The rule of this function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (-1, ∝)

Read more about domain and range at

brainly.com/question/27910766

#SPJ1

Answer 32. Down below

Answers

The expression for the variable b in terms of a, S, and n in the formula for the sum of an arithmetic sequence is; b = (2·S/n) - a

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each subsequent term in the sequence increases from the value of the previous term by the same amount.

The formula for finding the finite sum of an arithmetic sequence can be presented as follows; S = (n/2)·(a + b), where;

n = The number of terms in the sequence

a = The first term in td sequence

b = The last term in the sequence

The steps that can be used to make the variable b the subject of the equation, are;

S = (n/2)·(a + b)

a + b = 2·S/n

b = 2·S/n - a

Learn more on the sum of an arithmetic sequence here: https://brainly.com/question/29140093

#SPJ1

How much more (or less) output will the average American have next year if the $22 trillion U.S. economy (GDP) grows (or contracts) by 1% assuming a population of 340 million.

Answers

Answer:

The **Gross Domestic Product (GDP)** is the total value of goods and services produced in a country in a year. According to the World Bank, the GDP of the United States was **$22.67 trillion** in 2020.

If the U.S. economy grows by 1%, the GDP would increase by **$226.7 billion** (1% of $22.67 trillion). If the U.S. economy contracts by 1%, the GDP would decrease by **$226.7 billion**.

The average American output is measured by Gross Domestic Product per capita (GDP per capita). According to the World Bank, the GDP per capita of the United States was **$68,309** in 2020.

If we assume that the population of the United States is 340 million people, then each person's share of GDP would be approximately **$201** ($68,309 divided by 340 million).

Therefore, if the U.S. economy grows by 1%, each person's share of GDP would increase by approximately **$0.67** ($201 times 1% growth rate). If the U.S. economy contracts by 1%, each person's share of GDP would decrease by approximately **$0.67** ($201 times 1% contraction rate).

Other Questions
assume the disk contains 100 cylinders (0-99), the positioning time takes 100s/cylinder, the head starts at 92 , and the queues is: 92, 61, 17, 78, 2, 9, 97. For each disk scheduling algorithm, calculate the total amount of positioning time to service the entire queue. FCFS SCAN - start from lower values to higher values C-SCAN - start from lower values to higher values Imagine you own your own business. Based on what you learned from the simulation, what factors would determine your entry and exit into a market?Applying the concept of marginal costs, how would you, as a business owner, decide how much to produce?How does the impact of fixed costs change production decisions in the short run and in the long run? Refer to the average total-cost (ATC) model included in the textbook to demonstrate. InstructionsCreate an app using a math solver to solve a type of math question using Java. Create an application with a GUI to perform one small, useful task for any type of math question. be You will create a develop the software, documentation, Junit testing, and training material, and close the project.Checklist:Software attached (zip your whole project and attach a jar file)DocumentationJunit testingTraining material (how to file or help file)and close the project (attach updated Gantt chart). Is Ahmed Special?*Author: J M. David, Assistant Professor, University of D M (The case has been modified)Khalid is a senior auditor for a medium-sized Accounting & Auditing firm. As Khalid is leaving the clients office for the day, he meets Saif, one of his companys audit managers.Khalid: Hi, Saif. What are you doing here so late? I thought you would have gone home by now.Saif: I just finished doing the inventory with Ahmed. It took us 12 hours.Khalid: Well, we knew it would take extra time, so we had budgeted for nine hours. But 12 hours, that is a lot more than we had planned on!Saif: We did fine in the warehouse, but on the outside inventory we ran into problems due to Ahmeds wheelchair. I tried to help him over some rough spots, but he just wont accept help.Khalid: Did the client say anything about Ahmed being there?Saif: No one said anything directly, but there were a lot of looks. Will Ahmed always be out in the field with us? Dont get me wrong. I like working with him. He really does good work, but he slows me down. I guess Ill see you in the morning.Khalid: Have a good night, Saif.As Khalid heads home for the evening, he thinks about the issue:"How did I get so lucky as to have Ahmed on my staff? Im really glad he was hired; its about time we broke that barrier of not hiring people with disabilities. Ahmed has really performed well on the computer project last week. We even saved money because of his creative ideas. It is too bad his manager Saif seems to think he wont work out for client visits.""Maybe Saif has a point. If Ahmed ran into problems in a warehouse, what will he do at the factory in Industrial Area where there is no elevator? Or worse, what will happen at the Al-Shahaniya site which has 50 steps to climb and no ramp? The utility industry is our bread and butter. Ahmed cant avoid these physical problems.""Is my job to integrate Ahmed into the team? Or is it to get the work done efficiently? If Ahmed is going to succeed as an auditor, he needs all these experiences, but that reduces our companys efficiency. He will always be slower and will often need a co-worker to help him. Maybe I could make him work only in our West Bay office doing sampling and other computer jobs. He is really a genius at those tasks. Maybe hell can end up as an Electronic Data Processing (EDP) auditor"But Ahmed has his own ideas. "Im very happy I got this job. My professors told me I didnt have a good chance of getting into public accounting. Even after I got here, I was afraid they wouldnt send me out to any clients worksites. That inventory check we did today, did take some extra time. I hope thats not a problem for the client or my company. It is so much more challenging visiting clients rather than sitting in front of the computer all day. I'm really looking forward to my next client worksite assignment."2. Individual FactorsPersonal Values of decision Maker:Moral Philosophies of Decision Maker: (Circle one and give reason below)Teleology Egoism Utilitarianism Deontology Virtue Ethics RelativistReason:Opportunity Job Context:Code of Ethics/Code of Conduct:Knowledge: Follow the Curve Sketching Guideline provided in this section to sketch the graphs of the following functions. (a) y=4x+ 1x (f) y=x/(x 29) (b) y=(x+1)/ 5x 2+35 (g) y=x 2/(x 2+9) (c) y=x+1/x (h) y=2 x x (d) y=x 2+1/x (i) y=(x1)/(x 2 The probability that a integrated circuit chip will have defective etching is 0.10, the probability that it will have a crack defect is 0.32 and the probability that it has both defects is 0.04. (a) What is the probability that one of these chips will have at least one of these defects? the nurse is using the healthy eating index-2015 (hei-2015) to measure a client's diet quality. which food(s) belongs in the adequacy group? select all that apply. A non-significant result may be caused by a:a.very cautious significance levelb.large sample sizec.false null hypothesisd.All of these (ii) Within each given set of compounds, which one has more CFSE? Justify your choice_ Marks) Set 1: [Cr(NH3)6] [CrF6]; [Cr(CO)6] Set 2: [Fe(NH3)6]Cl3; [Ru(NH3)6]Cl3; [Os(NH3)6] Cl3 An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield on AAA bonds is 5%, on A bonds 7%, and on B bonds 12%. The client wants to invest twice as much in AA An electrochemical cell has a standard cell potential of E =0.081 V with n=1 (number of electrons in balanced redox reaction). What is the equibrium constant, K, for the electrocherrical cell reaction at 298 ? K=34.2K=83.2K=23.4K=43.2 what is the most common type of kidney stone crystal? Find \( f \) such that \( f^{\prime}=\frac{6}{\sqrt{x}}, f(4)=39 \) Why does cotton ball sink in water after few minutes? se the Direct Comparison Test to determine whether the series converges or diverges. \[ \sum_{n=8}^{\infty} \frac{1}{n-7} \] Check whether the given grammar is ambiguous or not. The grammar G = (V, , S, P) = ({S, A, B, C, D}, {a, b, c, d}) with the productions P are: {S AB | C A cBd | cd B aAb | ab C bDc | bc D aCd | aDd} Describe how an odd-TM can mimic a standard TM. An odd-TM canonly move an odd number of cells at a time. You can just describethis in words suppose that the mean retail price per gallon of regular grade gasoline in the united states is $3.45 with a standard deviation of $0.20 and that the retail price per gallon has a bell-shaped distribution. (a) what percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon? % find a simple real-world search problem requiring a heuristic solution. You can base the problem on the 8-puzzle (or n-puzzle) problem, Towers of Hanoi, or even Traveling Salesman. The problem and solution can be utilitarian or entirely inventive.Write an interactive Python script (using either simpleAI's library or your resources) that utilizes either Best-First search, Greedy Best First search, Beam search, or A* search methods to calculate an appropriate output based on the proposed function. The search function does not have to be optimal nor efficient but must define an initial state, a goal state, reliably produce results by finding the sequence of actions leading to the goal state. Solution should be in an easily executable Python file alongside instructions for testing. consider the following questions as a guide:Is your search method complete? Is it admissible?Does it use an evaluation function?Is it space-efficient?What are the advantages and disadvantages of your chosen search method, and how do they fit the intended function? Upon completion of this chapter 2, you will be able to following items:Define malwareList the different types of malwareIdentify payloads of malwareDescribe the types of social engineering psychological attacksExplain physical social engineering attacksUpon completion of this chapter 3, you will be able to following items:List and explain the different types of server-side web application attacksDefine client-side attacksExplain how overflow attacks workList different types of networking-based attacks