The perimeter of the triangle is 28 cm. The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the length of the sides.
Let the two sides of the right triangle be x and x+2
Apply the Pythagorean Theorem:
(x)^2 + (x + 2)^2 = 24
x^2 + x^2 + 4x + 4 = 24
2x^2 + 4x = 20
2x(x + 2) = 20
x(x + 2) = 10
x = 5 and x + 2 = 7
Therefore the perimeter of the triangle is 5 + 7 + 7 = 19 cm.
The perimeter of the triangle is 28 cm.
The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the b of the sides. The equation 2x(x + 2) = 20 can be used to solve for x, which is equal to 5. Therefore, the two sides of the triangle are 5 cm and 7 cm. Adding these lengths together, the perimeter of the triangle is 5 + 7 + 7 = 28 cm.
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I Need help please….
The distance between two points on a line segment .
What is the formula for graph length?Learn how to use the distance formula to calculate the distance between two points, which is an application of the Pythagorean theorem. To calculate the distance between any two points, we may rewrite the Pythagorean theorem as d=((x 2-x 1)2+(y 2-y 1)2). Sal Khan and the CK-12 Foundation created it.
A line segment is delimited by two separate points on a line in geometry. A line segment is a section of a line that links two locations. A line has no endpoints and stretches in both directions indefinitely, but a line segment has two defined or definite endpoints.
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40,512 rounded to the nearest thousand
Answer: 41,000
Step-by-step explanation:
If the hundreds column 5 or more than it rounds up if it is lower it rounds down
HELP!! Quadrilateral ABCD is inscribed in circle P. Complete the following.
The measures of the angles are (a) 180-C, and 180-A (b) 180 (c) 180 and supplementary.
What is a cyclic quadrilateral?You should understand that cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle
For better understanding note the following
Opposite angles of a cyclic quadrilateral are supplementaryopposite angles of a cyclic quadrilateral = 180 degrees(a) m<A = 180 - m<C
m<C = 180 - m<A
(b) m<A + m<C = 180 .......... (opposite angles are supplementary)
(c) m<A + m <C = 180 (Sum of opposite angles = 180⁰)
(d) <A and <C are supplementary angles
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3 bottle of water of wine and four bottled water costs N450 if each bottle water cost 35 naira how much is spent on the wine
Answer:
N103. 33
Step-by-step explanation:
let the cost of bottle of water be represented by B
Let the cost of wine be represented by W
3×W + 4×B =N450
3W+4B=450....(1)
one bottle of water(B)Costs N35
3W+ 4(N35)= N450
3W + 140=450
collect the.like terms
3W= 450-140
3W = 310
divide through by 3
W= N103.33
Find two consecutive whole numbers that square root of 32 lies between
Answer:
5 and 6
Step-by-step explanation:
sqrt of 32= 4sqrt2 = 5.656
you download a digital soccer game for . you can add new players for each to upgrade your team. the total cost is a function of the number of new players that you add. which of the following statements about the domain and the graph of the function is correct?
The domain is discrete and the range is continuous, which can be an accurate statement regarding the two terms.
What are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function.
The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input.
After we enter an x value, the function outputs this sequence of values.
So, the parameters are as follows, taken from the query:
Downloaded Amount = $2.50
Added amount to each player = $1.50
Use x to indicate how many players there are.
The following representations are what we have.
Total amount = Amount to download + Amount to add each player * Number of players
Now, we obtain:
y = 2.50 + 1.50 * x
y = 2.50 + 1.5x
The number of players serves as the input to the aforementioned linear function.
The domain is discrete as a result.
The amount, though, can have decimal points
The range is continuous as a result.
Therefore, the domain is discrete and the range is continuous, which can be an accurate statement regarding the two terms.
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a. Write the function if Cecily releases the ball 40 feet above the ground at a velocity of 64 feet per second
The function that describes the height of the ball as a function of time t (in seconds) can be represented as:
h(t) = -16t^2 + 64t + 40
Where h(t) is the height of the ball in feet above the ground, t is the time in seconds, and the -16t^2 represents the acceleration due to gravity. The 64t represents the initial velocity of the ball, and 40 is the initial height of the ball above the ground.
Check the picture below.
Determine the range of the following graph:
Answer:
-1 ≤ y ≤ 6
[-1, 6]
Step-by-step explanation:
The y coordinates of all points on the graph are from -1 to 6, so the range is:
-1 ≤ y ≤ 6
[-1, 6]
1. You are the manager of a small store that specializes in hats, sunglasses, and other accessories. You are considering a sales promotion of a new line of hats and sunglasses. You will offer the sunglasses only to those who purchase two or more hats, so you will sell at least twice as many hats as pairs of sunglasses. Moreover, your supplier tells you that, due to seasonal demand, your order of sunglasses cannot exceed 100 pairs. To ensure that the sale items fill out the large display you have set aside, you estimate that you should order at least 210 items in all. Assume that you will lose $3 on every hat and $2 on every pair of sunglasses sold. Given the constraints above, how many hats and pairs of sunglasses should you order to lose the least amount of money in the sales promotion? [Using Graphic method]
Least cost in the sales promotion is when (140, 70) i.e. Hats = 140 and pair of glasses = 70.
What is meant by Graphic method?To determine if the data support the mixing of two potential sources or the fractionation of a single source, graphical approaches are frequently used.
To better interpret their data, researchers now employ a variety of graphical tools, including scatterplots, box plots, and histograms. Graphs are excellent for illustrating trends, patterns, and correlations between variables as well as for displaying and summarizing vast volumes of numerical data.
Value of cost at (140, 70) is 3 × 140+ 3 × 70
= $630
Consider any point on the feasible line, say (150, 60)
Cost = 3 × 150 + 3 × 60 = $570
Cost is increasing towards the point (210, 0)
Thus, Least cost is when (140, 70) i.e. Hats = 140 and pair of glasses = 70.
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what is 5 less than 4 times 7
Answer:
-31
Step-by-step explanation:
Let's put this into an equation:
[tex]4-5 *7[/tex]
Note that 5 less than 4 means I take 5 AWAY from 4, not 5-4.
Most people would go about this straight across, doing 4-5, -1, and then times 7 which would be -7.
BUT if there are no parentheses around 4-5, we do 5 times 7 first.
Why? In PEMDAS or order of operations, you multiply before subtracting.
That means I do 5 times 7 first. That is 35.
Now I subtract 4-35. That is -31.
The given points lies on the terminal side of an angle (θ)in standard position. Find the values of six trig functions of (θ).(2,−4).
The values of six trig functions are:
sinθ=− √5/5, cosθ=2√5/5, tanθ=-1/2, cot θ=−2, secθ=√5/2, cscθ=−√5
The relationship between the angles and sides of a triangle is given by these trig functions.
There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
The point's coordinates are:
x=2, y=−4
To calculate the functions we have to calculate the distance between the point and the origin:
r=√x²+y²=√2²+(−4)²=√16+4=√20
r=2√5
Now we can calculate the functions:
sinθ=y/r=−2/2√5=−√5/5
cosθ=x/r=4/2√5=2/√5=2√5/5
tanθ=y/x=−2/4=−1/2
cotθ=x/y=4/−2=−2
secθ=r/x=2√5/4=√5/2
cscθ=r/y=2/√5−2=−√5.
Hence, the values of trig functions are calculated.
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how many 1/4 are in 3 inches
Answer:
12 inches
Step-by-step explanation:
3 inches / (1 / 4) = 12 inches
If the function h(x) goes
through the point (−5, 7),
then the function −h(x)
must go through what
point?
Answer: (-5, -7)
Multiply the y coordinate by -1. Keep the x coordinate the same. The point (-5,7) reflects over the x axis to land on (-5,-7)
The reason why we multiply by -1 is because [tex]\text{y} = \text{h}(\text{x})[/tex], so [tex]-\text{y} = -\text{h}(\text{x})[/tex]
Answer:
(-5,-7)
................
Two cars are 298 mi apart and traveling toward each other along the same road. They meet in 2 hr. One car is traveling 7 mph slower than the other. What is
the speed of each car?
Part 1/2
The faster car travels at (blank) mph.
The faster car is traveling at 149 mph, and the slower car is traveling at 142 mph.
How to calculate the speed?Speed can be calculated using the following formula: Speed = Distance/Time.Speed is measured in units such as meters per second (m/s), kilometers per hour (km/h), miles per hour (mph), etc.To calculate the speed of an object, you must first measure the distance it has traveled and the time it took to travel that distance. If the object is moving in a straight line, the distance is the length of the line. If it's moving in a circle, the distance is the circumference of the circle.Once you have the distance and time, divide the distance by the time to get the speed of the object. For example, if an object travels 10 meters in 5 seconds, its speed is 10/5 m/s, or 2 m/s.The faster car is traveling at (298 mi / 2 hrs) = 149 mph.The slower car is traveling at (149 mph - 7 mph) = 142 mph.
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9(7h−4k)+10k−5(6k−7h)
Answer:
98h - 56k----------------------------
Given expression:
9(7h - 4k) + 10k - 5(6k - 7h)Simplify it in steps below:
9(7h - 4k) + 10k - 5(6k - 7h) = Given 9(7h) - 9(4k) + 10k - 5(6k) + 5(7h) = Distribute63h - 36k + 10k - 30k + 35h = Simplifyh(63 + 35) - k(36 - 10 + 30) = Collect like terms98h - 56k AnswerAnswer:
[tex] \sf \: 98h - 56k [/tex]
Step-by-step explanation:
Given expression,
→ 9(7h - 4k) + 10k - 5(6k - 7h)
Let's simplify the expression,
→ 9(7h - 4k) + 10k - 5(6k - 7h)
→ 63h - 36k + 10k - 30k + 35h
→ (63h + 35h) + (-36k + 10k - 30k)
→ (98h) + (-56k)
→ 98h - 56k
Hence, answer is 98h - 56k.
The stem & leaf diagram shows the
number of emails received by Colin
each day.
8016
9 2 3 5 6 7789
10 0 1 2 3 4
11 1 3
12 3 8
Key:
10 3 means 103 emails
Find the median.
To find the median of the data set, we first need to arrange the data in numerical order. We can do this by grouping the digits in the stem & leaf diagram according to the key:
8016
92 35 67
100 124 34
113
123 8
Then we will arrange them in order as: 8016 92 35 67 100 124 34 113 123 8
To find the median we have to identify the middle value of the data set, considering that we have 12 data points. The middle value is the 7th value in the set which is 100, therefore the median is 100.
write about how to solve 8 divided by 5
Answer: 1⅗
Step-by-step explanation: We can write 8 divided by 5 as 8/5.
As 8/5 is an improper fraction, when we divide 8 by 5, we get 1 as quotient and 3 as remainder.
To convert an improper fraction into a mixed fraction, we take quotient 1 as a whole part and in the fractional part remainder 1 as the numerator, and divisor 5 as the denominator.
The GCF of 5 and 1 is 1. So, divide both the numerator and denominator by the GCF to simplify and convert it to a mixed fraction.
Thus, 8 divided by 5 as a fraction in simplest form is 1⅗.
At a baseball game, a vender sold a combined total of 135 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
vendor sold 90 sodas and 45 hot dogs
Step-by-step explanation:
Let x = number of sodas sold
Let y = number of hot dogs sold
We have x = 2y (1)
( The number of sodas sold was two times the number of hot dogs sold)
We also have x + y = 135 (2)
( sold a combined total of 135 sodas and hot dogs.)
Substituting x = 2y we get
2y + y = 135
3y = 135
y = 135/3
y = 45
Therefore x = 135 - 45
x = 90
Therefore vendor sold 90 sodas and 45 hot dogs
An open box is to be constructed from a square piece of sheet metal by removing a square of side 3 feet from each corner and turning up the edges. If the box is to hold 300 cubic feet, what should be the dimensions of the sheet metal?
If an open box is to be constructed from a square piece of sheet metal by removing a square of side 3 feet from each corner and turning up the edges. the dimensions of the sheet metal is 16 feet.
How to find the dimension?Let x represent the dimension of the sheet metal
So,
Volume =3×(x-2×3)×(x-2×3) = 300
Volume =3×(x-6)×(x-6) = 300
(x -6)² = 300/3 = 100
x-6 = √100 =10
x = 10 +6
x = 16 feet
Therefore the dimensions of the sheet metal is 16 feet
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Scenario: Given sphere_radius and pi, compute the volume of a sphere and assign to sphere_volume. Volume of sphere = (4.0 / 3.0) π r^3
Sample output with input: 1.0 Sphere volume: 4.19
The volume of the sphere = (4.0 / 3.0) π r^3.
What is the volume of the sphere?
The quantity of space occupied within a sphere is referred to as its volume. Every point on the surface of the sphere is equally spaced from its center, making it a three-dimensional round solid object. The fixed point and fixed distance are referred to as the sphere's center and radius, respectively.
Here, we have
The volume program in Python, where comments are used to explain each line is as follows
#This initializes pi to 3.142
pi= 3.142
#This gets input for the radius
sphere_radius = float(input("Radius: "))
#This calculates the sphere volume
sphere_volume = (4.0 / 3.0) * sphere_radius**3
#This prints the sphere volume
print(sphere_volume)
Hence, the volume of the sphere = (4.0 / 3.0) π r^3.
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A long year-end status report for work is 127 pages long. You need to print 18 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.77 each.
$
Answer:
$18.85
Step-by-step explanation:
1. 127*18 = 2286 pages.
2. 2286/500 = 4.6 (approx.)
3. You need to buy 5 reams of paper 500 pages each.
It will cost 5*$3.77 = $18.85
Find the area of the shaded region shown below and choose the appropriate result.
92 Square inches is the area of the shaded region shown below
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given a rectangle, that has a length of 12 inches and 9-inch width
Since,
Area = length * width
Area of the given triangle = 12 * 9
Area of the given triangle = 108 square inch
There is also one square inside this rectangle of side 4 inch
Since the area of square = side * side
Thus in our case,
Area of square = 4 * 4 = 16 square inch
As we can see in the figure:
Area of shaded region = complete area of rectangle - area of square
Area of shaded region = 108 - 16
Area of shaded region = 92 square inch
Therefore, The area of the shaded region is 92 Square inches.
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Complete question:
Someone help me on this please
Least-cost planning methodology (LCPM), sometimes known as "least-cost planning" (LCP), is a relatively new strategy used by economists to make logical decisions about investments in transportation and other urban infrastructure projects.
What does the term "cost least" mean?Least Cost refers to the lowest cost; in Example 1.Least-cost planning methodology (LCPM), sometimes known as "least-cost planning" (LCP), is a relatively new strategy used by economists to make logical decisions about investments in transportation and other urban infrastructure projects. It is founded on a cost-benefit analysis.A contract is awarded to the company that submitted the lowest financial proposal among those that passed the technical review via the "Least-Cost Selection" (LCS) procedure, which is based on a two-step consecutive evaluation.Least-cost planning methodology (LCPM), sometimes known as "least-cost planning" (LCP), is a relatively new strategy used by economists to make logical decisions about investments in transportation and other urban infrastructure projects.The complete question is,
What is a project's least cost?
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what is the mean number of cakes jenny bakes in a month. Numbers of cake are 100, 200, 300, 400, 500, 600, 700
Answer:
400
Step-by-step explanation:
[tex]100 + 200 + 300 + 400 + 500 + 600 + 700 = 2800 [/tex]
There are 7 numbers ( No. of cakes in a month)
Therefore, we should divide it by sum of the cakes
[tex]2800 \div 7 = 400[/tex]
SO MEAN NUMBER IS 400//
Is (1 5/2) a solution ?
Answer:
No!
Step-by-step explanation:
(1 5/2)
is a mixed fraction so you will change it to proper fraction.
the solution is
=7/2 or 3.5
You will multiple two by one and add by five given 7/2.
seven values on the number line above are marked with letters. match the opposites. question 11 options: a) f and h; y and y b) c and l; a and k c) a and k; f and h d) c and l; f and h
The answer to the question is d) c and l; f and h.
The concept of opposite numbers on the number line can be expressed mathematically by the equation -x = y, where x is the original number and y is the opposite number. This equation can be used to calculate the opposite of any number. For example, if the number 5 is located at point a on the number line, the opposite of 5 is located at point k and can be calculated by substituting 5 for x in the equation and solving for y. -5 = y, therefore y = -5. The opposite of 5 is therefore -5. To calculate the opposite of any of the other numbers marked on the number line, the same equation can be used. The answer to the question is d) c and l; f and h.
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tell me what spending and saving habits you have learned from your parents, guardians, family and friends. what will you do the same in your adult life and what will you change?
I learned to save for the future and spend responsibly. In my adult life I will continue to save and be mindful of my spending habits. I will change my attitude towards money and become more frugal.
How can I save money for the future?Saving money for the future requires discipline and dedication. One of the easiest ways to start saving is to create a budget and stick to it. Make sure to include a line item for savings in your budget and allocate a specific amount each month to save.
Additionally, set up automatic transfers from your checking account to your savings account to ensure money is put into savings each month. It's also important to find ways to minimize expenses. Cutting back on eating out, reducing your cell phone bill, and shopping for discounts are all great ways to save money.
Finally, look into investing your money in stocks, bonds, and other investments to help your savings grow. Saving money for the future takes time, but it is possible with the right strategies.
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can you help me solve this? it says I have to prove, using statements and reasons, (ASA traingle congruence)
Richard is incorrect, As if two angles are same then the 3rd angle must be same too using angle sum property and therefore ΔJFH ≅ ΔJGH with AAA congruency.
What is the congruent triangle?Two triangles are congruent if they have the same shape and size. Congruent triangles have all corresponding angles and sides congruent, meaning they are equal in measure.
A triangle can be shown to be congruent to another triangle by using one or more of the following criteria:
SSS (Side-Side-Side) Congruence: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
SAS (Side-Angle-Side) Congruence: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
ASA (Angle-Side-Angle) Congruence: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
HL (Hypotenuse-Leg) Congruence: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.
Richard is incorrect, As if two angles are same then the 3rd angle must be same too using angle sum of property and therefore ΔJFH ≅ ΔJGH
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A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.
Roll Outcome
1st even
2nd prime
3rd multiple of 5
Answer: 1/24
Step-by-step explanation:
1st even = 3/6 (2,4,6)
2nd Prime = 3/6 (2,3,5)
3rd multiple of 5 = 1/6 (5)
3/6 x 3/6 x 1/6 = 9/216
9/216 = 1/24
x² - 2x - y² + 4y-3 , x² + 2x - y² + 8y-15 find hcf
To find the highest common factor (HCF) of two polynomials, we can use the Euclidean algorithm or the method of factoring the polynomials and comparing their common factors.
The first polynomial is x² - 2x - y² + 4y-3 and the second polynomial is x² + 2x - y² + 8y-15
x² - y² is common in both polynomials, let's factor it out.
x² - y² = (x-y)(x+y)
so the first polynomial can be written as (x-y)(x+y) - 2x + 4y - 3
and the second polynomial can be written as (x-y)(x+y) + 2x + 8y - 15
So the HCF of these two polynomials is (x-y)(x+y)
It is important to note that the HCF of polynomials is not unique, there can be more than one factorization.
