7 3/8 as an inpropuar fracition

Answers

Answer 1
59/8 is the answer

Explanation: 7*8=56

56+3=59

59/8

Related Questions

The figure is a parallelogram. One diagonal measures 28 units. A parallelogram is shown. It has side lengths 21, 20, 21, and 20. The length of a diagonal is 28. Is the figure a rectangle? Explain. No, it is not a rectangle because the diagonals are congruent. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles. Yes, it is a rectangle because the diagonals are congruent. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

Answers

No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

A rectangle is a special type of parallelogram where all angles are right angles (90 degrees).

In the given figure, although the diagonals are congruent (one diagonal measures 28 units), this alone does not guarantee that the parallelogram is a rectangle.

The lengths of the sides in the parallelogram are given as 21, 20, 21, and 20 units, which indicates that opposite sides are congruent.

To determine if the figure is a rectangle, we need to check if the sides of the parallelogram meet at right angles.

Since the question does not provide information about the angles of the parallelogram, we cannot conclude that the sides meet at right angles. Therefore, the correct answer is that it is not a rectangle because the sides of the parallelogram do not meet at right angles.

For more questions on parallelogram

https://brainly.com/question/3050890

#SPJ8

AnswerD):Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

Step-by-step explanation:

ege

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The calculated scale factor from ABC to A'B'C is 1/3

Calculating the scale factor from ABC to DEF?

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

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

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

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

Read more about scale factor at

brainly.com/question/29229124

#SPJ1

Four students were discussing how to find the unit rate for a proportional relationship. Which method is
valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
O "Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."

Answers

Answer:

The correct answer is,

"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must

move to arrive at the next point on the graph. Write these two numbers as a fraction."

Step-by-step explanation:

Answer:

Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the difference in the corresponding x-values.

Step-by-step explanation:

To find the unit rate for a proportional relationship, you need to identify any two points on the graph of the relationship that have y-values that differ by one unit. Once you have identified these two points, you can find the unit rate by calculating the difference between the corresponding x-values (the change in x) for those two points:

1. Look at the graph of the proportional relationship.

2. Identify any two points on the graph that have y-values that differ by one unit.

3. Determine the x-value for each of the two points you identified in step 2.

4. Calculate the difference between the two x-values (the change in x) for those two points.

5. The result of step 4 is the unit rate for the proportional relationship.

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

[tex]BC=5.1[/tex]

[tex]B=23^{\circ}[/tex]

[tex]C=116^{\circ}[/tex]

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

[tex]\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}[/tex]

In this case, A is the angle, and BC is the side opposite angle A, so:

[tex]BC^2=AB^2+AC^2-2(AB)(AC) \cos A[/tex]

Substitute the given side lengths and angle in the formula, and solve for BC:

[tex]BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}[/tex]

[tex]BC^2=49+9-2(7)(3) \cos 41^{\circ}[/tex]

[tex]BC^2=49+9-42\cos 41^{\circ}[/tex]

[tex]BC^2=58-42\cos 41^{\circ}[/tex]

[tex]BC=\sqrt{58-42\cos 41^{\circ}}[/tex]

[tex]BC=5.12856682...[/tex]

[tex]BC=5.1\; \sf (nearest\;tenth)[/tex]

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}[/tex]

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

[tex]\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}[/tex]

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

[tex]\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}[/tex]

Therefore:

[tex]\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}[/tex]

[tex]\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}[/tex]

[tex]B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)[/tex]

[tex]B=22.5672442...^{\circ}[/tex]

[tex]B=23^{\circ}[/tex]

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

[tex]\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}[/tex]

[tex]\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}[/tex]

[tex]180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)[/tex]

[tex]180^{\circ}-C=63.5672442...^{\circ}[/tex]

[tex]C=180^{\circ}-63.5672442...^{\circ}[/tex]

[tex]C=116.432755...^{\circ}[/tex]

[tex]C=116^{\circ}[/tex]

[tex]\hrulefill[/tex]

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

Cuántos saltos debe dar la rana para recorrer lo mismo que un alto de gato

Answers

According to the information, we can infer that the frog must take 4 hops to travel the same distance as a cat's jump.

How many hops must the frog take to travel the same distance as a cat's jump?

Since the cat's jump covers a distance of 1 meter, we need to determine how many hops the frog needs to take to cover the same distance.

The frog's jump covers 1/4 meter, and we want to find the number of hops needed to reach 1 meter (the distance of the cat's jump).So, to do this, we can set up a proportion:

1 meter (cat's jump) = x hops (frog's jumps) * 1/4 meter (frog's jump)

By cross-multiplying, we have:

1 * 4 = x * 14 = x

So, the correct answer is 4 because the frog has to jump 4 times to cover the same distance of the rabbit.

Note: This question is in a different language. Here is in English:

How many hops must the frog take to travel the same distance as a cat's height?

Learn more about jumps in: https://brainly.com/question/6072890
#SPJ1


What is the domain of the function y=2 x-6

Answers

Answer: The domain of the expression is all real numbers except where the expression is undefined.

Step-by-step explanation:

What is the slope of the line that contains the points in the table?
A. 3
B. -3
C. 2
D. -6
X
-2
0
2
4
y
15
9
3
-3
SUBMIT

Answers

Answer:

B

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (0, 9) ← 2 ordered pairs from the table

m = [tex]\frac{9-15}{0-(-2)}[/tex] = [tex]\frac{-6}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Select the correct answer. Which function is increasing at the highest rate? A. A linear function, f, with an x-intercept of 8 and a y-intercept of -4. B. A linear function on a coordinate plane passes through (minus 1, 3), and (2, minus 3) which intercepts axis at (0.5, 0), and (0, 1) C. D. x 1 2 3 4 5 g(x) -5 -4 -3 -2 -1

Answers

The function in option C (the table) is increasing at the highest rate among the three options.

To determine which function is increasing at the highest rate, we need to analyze the rate of change of each function. The rate of change represents how much the dependent variable (y) changes for a given change in the independent variable (x).

Let's analyze the given options:

A. A linear function, f, with an x-intercept of 8 and a y-intercept of -4.

Since this function is linear, the rate of change is constant. It means that the rate of increase is the same throughout. Therefore, it does not have the highest rate of change.

B. A linear function passing through (-1, 3) and (2, -3) intercepting the axis at (0.5, 0) and (0, 1).

We can calculate the slope of the line using the two points given: (-1, 3) and (2, -3). The slope formula is (change in y) / (change in x).

Slope = (-3 - 3) / (2 - (-1)) = -6 / 3 = -2

The negative slope indicates a decreasing function, not an increasing one. Therefore, this function does not have the highest rate of change.

C. The given table:

x  1  2  3  4  5

g(x) -5 -4 -3 -2 -1

By observing the table, we can see that as x increases, g(x) also increases. The function is consistently increasing, indicating the highest rate of change among the given options.

for more search question  highest

https://brainly.com/question/26980927

#SPJ8

Which of these will have an effect on the GDP of the country?
Sam loses $10.00 in a bet with Kurt.
Sally buys a new patio furniture set.
Hershey makes 1,000 chocolate bars to export to Brazil.
Jack's grandpa fixes his car light.

Answers

Sally buying a new patio furniture set and Hershey making and exporting chocolate bars will have an effect on the GDP of the country, as they involve market transactions and the production of goods.

Out of the given options, the activities that will have an effect on the GDP (Gross Domestic Product) of the country are Sally buying a new patio furniture set and Hershey making 1,000 chocolate bars to export to Brazil. Let's analyze each activity:

1. Sam losing $10.00 in a bet with Kurt:

This activity does not directly contribute to the GDP. While money is changing hands, it does not involve the production of goods or services that are included in the calculation of GDP.

2. Sally buying a new patio furniture set:

When Sally purchases a new patio furniture set, it involves a transaction in which money is exchanged for a tangible product. This transaction represents consumption, which is one of the components of GDP. The purchase contributes to the GDP as it reflects the value of the furniture set produced within the country.

3. Hershey making 1,000 chocolate bars to export to Brazil:

The production of chocolate bars by Hershey contributes to the GDP. It represents the manufacturing or production of goods within the country. Additionally, when the chocolate bars are exported to Brazil, it represents an export activity, which also contributes to the GDP. The value of the chocolate bars produced and exported is accounted for in the calculation of GDP.

4. Jack's grandpa fixing his car light:

This activity does not directly contribute to the GDP. While it involves a service (car repair), it is not a market transaction and does not involve the production of goods or services for sale.

In summary, Sally buying a new patio furniture set and Hershey making and exporting chocolate bars will have an effect on the GDP of the country, as they involve market transactions and the production of goods. The other activities do not directly contribute to the GDP.

for more such question on production  visit

https://brainly.com/question/31135471

#SPJ8

A scatterplot contains data showing the relationship between number of football games played and total number of rushing yards. Which graph displays the line of best fit for the data?

Answers

To identify the appropriate graph displaying the line of best fit, one would need to examine the slope, position, and dispersion of the data points in relation to the line.

To determine which graph displays the line of best fit for the relationship between the number of football games played and the total number of rushing yards, we would need to analyze the given graphs and identify the one that best represents the trend in the data.

The line of best fit is a straight line that represents the average trend of the data points in a scatterplot. It is calculated using regression analysis to find the line that minimizes the overall distance between the line and the data points.

Without the specific graphs to examine, it is not possible to identify the exact graph that displays the line of best fit. However, in a scatterplot of the number of football games played versus the total number of rushing yards, the line of best fit would be a straight line that best represents the general trend or relationship between the two variables.

The line of best fit may have a positive slope if there is a positive correlation between the number of games played and rushing yards, indicating that more games played result in higher rushing yards. Conversely, it may have a negative slope if there is a negative correlation, suggesting that more games played lead to lower rushing yards.

For more such questions on graph.

https://brainly.com/question/19040584

#SPJ8

Note:- This questions is not available in search engine


Identify the equivalent equation to ax + by = c
Select the correct answer.
1. Y= a/b x + c/b
2. Y= ax + c
3. Y= -a/b x + c/b
4. by = ax + c

Answers

The equivalent equation to ax + by = c is by = ax + c.

The equivalent equation to ax + by = c can be found by isolating the y variable. Let's go through the options provided:

Y = a/b x + c/b: This equation represents the slope-intercept form of a linear equation (y = mx + b). It does not match the given equation, so it is not the correct answer.

Y = ax + c: This equation represents a linear equation in slope-intercept form. It does not have the y-variable coefficient (b) present, so it is not the correct answer.

Y = -a/b x + c/b: This equation represents the slope-intercept form of a linear equation. The signs of the variables are reversed compared to the given equation, so it is not the correct answer.

by = ax + c: This equation matches the given equation ax + by = c, where the y-variable is isolated on one side. Therefore, the correct answer is option 4.

In conclusion, the equivalent equation to ax + by = c is by = ax + c.

For more questions on equation

https://brainly.com/question/29174899

#SPJ8

V7xV2
Realiza la siguiente multiplicación de raíces cuadradas

Answers

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

for such more question on simplest form

https://brainly.com/question/4077992

#SPJ8

If to DEF?
A 23
B. 16°
C. 32°
D. 58°

Answers

The calculated measure of the angle D is (c) 32 degrees

How to determine the measure of the angle

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

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

What is the power of a lamp rated at 12 V 2 A?​

Answers

Answer:

24 W

Step-by-step explanation:

Houston, TX and New Orleans, LA are 348 miles apart. On a map, these two cities are 2.3 centimeters apart. Use this scale to determine the distance between Houston, TX and Dallas, TX if they are 1.6 centimeters apart on the map.

Answers

Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.

Let's denote the distance between Houston and Dallas as "x" (in miles).

According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:

2.3 cm / 348 miles = 1.6 cm / x miles

To find the value of "x," we can cross-multiply and solve the equation:

(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)

2.3x = 556.8

Divide both sides by 2.3 to isolate "x":

x = 556.8 / 2.3

x ≈ 242.0869565

Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.

For more such questions on scale visit:

https://brainly.com/question/29967135

#SPJ8


Three friends, Billy, Joe and Paul plan to go on go on holiday.

Billy pays 1/2of the holiday cost.

Joe pays 2/5 of the holiday cost.

What fraction of the holiday cost does Paul pay.

Answers

Paul pays 1/10 of the holiday cost, while Billy pays 1/2 and Joe pays 2/5.

To determine the fraction of the holiday cost that Paul pays, we need to find the remaining portion after Billy and Joe have paid their shares.

Let's start by calculating the sum of the fractions Billy and Joe have paid:

Billy's share = 1/2

Joe's share = 2/5

To find the combined share of Billy and Joe, we add their fractions:

1/2 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10. So, we can convert the fractions to have a common denominator of 10:

1/2 = 5/10

2/5 = 4/10

Now, we can add the fractions:

5/10 + 4/10 = 9/10

Billy and Joe have paid a combined fraction of 9/10 of the holiday cost. To find the fraction that Paul pays, we need to determine the remaining portion, which can be calculated by subtracting the combined fraction from 1 (since 1 represents the whole).

Remaining fraction = 1 - 9/10

= 10/10 - 9/10

= 1/10

Therefore, Paul pays 1/10 of the holiday cost.

for such more question on fraction

https://brainly.com/question/25829061

#SPJ8

Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9

Answers

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

for such more question on values

https://brainly.com/question/11546044

#SPJ8

if x=15-root 2 find the value of x²-5x+3​

Answers

To find the value of x²-5x+3 when x=15-√2, we substitute the value of x into the expression:

x² - 5x + 3 = (15-√2)² - 5(15-√2) + 3

First, let's expand (15-√2)² using the formula for the square of a binomial:

(15-√2)² = (15)² - 2(15)(√2) + (√2)²

= 225 - 30√2 + 2

Simplifying further:

(15-√2)² = 227 - 30√2

Now we substitute this back into the expression:

x² - 5x + 3 = 227 - 30√2 - 5(15-√2) + 3

= 227 - 30√2 - 75 + 5√2 + 3

= 155 - 25√2

Therefore, the value of x²-5x+3 when x=15-√2 is 155 - 25√2.

PLEASE! help me I don't understand

Answers

The trapezoid ABCD have the measure of angles m∠A and m∠B equal to 79° and 66° respectively.

How to evaluate for the angle of the trapezoid.

The sum of the interior angles of a quadrilateral is equal to 360°, so the sum of angles, m∠A, m∠B, m∠C, and m∠D is equal to 360°.

2x - 19 + x + 17 + 3x + 7 + 2x - 37 = 360°

8x - 32 = 360°

8x = 360° + 32°

8x = 392

x = 392/8 {divide through by 8}

x = 49

m∠A = 2(49) - 19 = 79°

m∠A = 49 + 17 = 66°

Therefore, the trapezoid ABCD have the measure of angles m∠A and m∠B equal to 79° and 66° respectively.

Read more about angles here: https://brainly.com/question/30179943

#SPJ1

Calcula el área de un círculo con radio de 5 cm.

Answers

The area of a circle with a radius of 5 cm is  78.5 square centimeters.

How to find the area?

Here we want to find the area of a circle whose radius is r = 5cm.

Remember that the area of circle of radius R is given by the formula below:

A = π*R²

Where π = 3.14

Replacing the values that we know, we will get the area:

A = 3.14*(5cm)²

A = 78.5 cm²

The area is  78.5 square centimeters.

Learn more about circles at:

https://brainly.com/question/1559324

#SPJ1


PLEASE HELP IMMEDIATELY!!!
Find the cosine of < Q.
S
√42
√91
R
Q
Write your answer in simplified, rationalized form. Do not round.
cos (Q)=

Answers

Cosine of < Q

cos(Q) = (√42) / (√91)

To find the cosine of angle Q, we need to determine the ratio of the adjacent side to the hypotenuse in a right triangle.

Let's consider a right triangle with sides S, √42, and √91, where angle Q is the angle between the side S and the hypotenuse.

- The side adjacent to angle Q is S.

- The hypotenuse of the triangle is √91.

cos(Q) = adjacent side / hypotenuse

cos(Q) = S / √91

To simplify the expression, we multiply both the numerator and denominator by √91:

cos(Q) = (S * √91) / (√91 * √91)

cos(Q) = (S * √91) / 91

In the given problem, the values of S, √42, and √91 were provided. Substitute the corresponding value of S into the expression above to obtain the simplified, rationalized form of the cosine of angle Q.

For more such questions on Cosine, click on:

https://brainly.com/question/30766161

#SPJ8

Please help Emergency!

Answers

a. Triangle 3 is a right triangle.

b. For any triangles that are not right triangles, we can use any two of the sides to create a right triangle by applying the Pythagorean theorem.

How to explain the triangle

a Let's apply the Pythagorean theorem to each triangle:

Triangle 1:

Side lengths: √519 units, 27 units, √210 units

Checking the squares of the side lengths:

(√519)² = 519

27² = 729

(√210)² = 210

In this case, 519 + 210 is not equal to 729. Therefore, Triangle 1 is not a right triangle.

Triangle 2: Side lengths: 21 units, √109 units, √420 units

Checking the squares of the side lengths:

21² = 441

(√109)² = 109

(√420)² = 420

Similarly, the sum of the squares of the two shorter sides should be equal to the square of the longest side if it is a right triangle. However, 441 + 109 is not equal to 420. Therefore, Triangle 2 is not a right triangle.

Triangle 3: Side lengths: √338 units, 26 units, √338 units

Checking the squares of the side lengths:

(√338)² = 338

26² = 676

(√338)² = 338

Here, 338 + 338 is equal to 676, which satisfies the Pythagorean theorem. Therefore, Triangle 3 is a right triangle.

b. For any triangles that are not right triangles, we can use any two of the sides to create a right triangle by applying the Pythagorean theorem.

Let's take Triangle 1 as an example:

Side lengths: √519 units, 27 units, √210 units

Let's choose the first and third side:

(√519)²+ (√210)² = 519 + 210 = 729

Now, we take the square root of 729 to find the length of the missing side:

√729 = 27

By doing this, we have formed a right triangle with side lengths of 27 units, √519 units, and √210 units.

Similarly, you can apply this process to Triangle 2 or any other triangle that is not initially a right triangle to create a right triangle using two of its sides.

Learn more about triangle on

https://brainly.com/question/17335144

#SPJ1

If lane 1 is 1.0 m wide, how much farther is a lap around the inside edge of lane 2 than a lap around the inside edge of lane 1?

Answers

A lap around the inside edge of lane 2 is 2.0 meters farther than a lap around the inside edge of lane 1.

To find the difference in distance between a lap around the inside edge of lane 2 and lane 1, we can compare their circumferences. The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

1. First, let's calculate the radius of lane 1. Since the width of lane 1 is given as 1.0 m, we can deduce that the radius of lane 1 is half of this width, which is 0.5 m.

2. Using the radius of lane 1, we can calculate its circumference. Plugging the radius (0.5 m) into the circumference formula, we get C1 = 2π(0.5) = π meters.

3. Next, let's calculate the radius of lane 2. Since lane 2 is not given a specific width, we need additional information to determine its radius.

4. Assuming that lane 2 has the same center as lane 1, we can calculate its radius by adding the width of lane 1 to the radius of lane 1. This gives us a radius of 0.5 + 1.0 = 1.5 m for lane 2.

5. Now, using the radius of lane 2, we can calculate its circumference. Plugging the radius (1.5 m) into the circumference formula, we get C2 = 2π(1.5) = 3π meters.

6. Finally, to find the difference in distance between a lap around lane 2 and lane 1, we subtract the circumference of lane 1 from the circumference of lane 2: ΔC = C2 - C1 = 3π - π = 2π meters.

Therefore, a lap around the inside edge of lane 2 is 2π (approximately 6.28) meters farther than a lap around the inside edge of lane 1.

For more such questions on meters, click on:

https://brainly.com/question/30153116

#SPJ8

Suppose that 6 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 56 cm.
(a)
How much work (in J) is needed to stretch the spring from 44 cm to 52 cm? (Round your answer to two decimal places.)
(b)
How far beyond its natural length (in cm) will a force of 25 N keep the spring stretched? (Round your answer one decimal place.)

Answers

Answer:

To stretch the spring from 36 cm to 56 cm, we need 6 J of work. Let's call the work needed to stretch the spring from 44 cm to 56 cm W1, and the work needed to stretch it from 36 cm to 44 cm W2.

Since the work needed is proportional to the distance the spring is stretched, we can write:

W1/W2 = (56-44)/(56-36)

Solving for W1, we get:

W1 = W2 * (56-44)/(56-36)

Substituting the values, we get:

W1 = 6 * (56-44)/(56-36) = 1.5 J

So, the work needed to stretch the spring from 44 cm to 52 cm is 1.5 J.

Now, let's move on to part (b).

The force required to stretch a spring is given by:

F = kx

where F is the force applied, x is the distance the spring is stretched beyond its natural length, and k is the spring constant.

We can rearrange this equation to solve for x:

x = F/k

We are given that a force of 25 N is applied to the spring. We need to find the distance the spring is stretched beyond its natural length. To do this, we need to know the spring constant.

Unfortunately, the problem does not give us the spring constant.

Without this information, we cannot solve for x.

In the problems below, f(x) = log2x and
9(x) = 10910x.
How are the graphs of fand g similar? Check all that apply.

Answers

The graphs of f(x) and g(x) are similar in terms of being increasing, passing through the point (1,0), approaching infinity as x approaches infinity, and having a vertical asymptote at x = 0.

The given functions are f(x) = log2x and g(x) = 9(x) = 10910x. Let's examine the similarities in the graphs of these functions.

Both functions are increasing: The logarithmic function f(x) = log2x and the exponential function g(x) = 10910x are both increasing functions. As x increases, the corresponding values of f(x) and g(x) also increase.

Both functions pass through the point (1,0): When x = 1, both f(x) and g(x) evaluate to 0. This means that both functions intersect the y-axis at the point (1,0).

Both functions approach infinity as x approaches infinity: As x becomes larger and larger, both f(x) and g(x) grow without bound. This indicates that the graphs of both functions have an asymptote at y = infinity.

Both functions have a vertical asymptote at x = 0: The logarithmic function f(x) = log2x has a vertical asymptote at x = 0, while the exponential function g(x) = 10910x also has a vertical asymptote at x = 0. This means that the graphs of both functions approach but never cross the y-axis.

Based on these observations, the similarities between the graphs of f(x) and g(x) are that both functions are increasing, pass through the point (1,0), approach infinity as x approaches infinity, and have a vertical asymptote at x = 0.

For more questions on vertical asymptote

https://brainly.com/question/4138300

#SPJ8

X^2 + x -72 rewrite the giving expression

Answers

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

Factorising the expression

x² + x - 72

consider the factors of the constant term (- 72) which sum to give the coefficient of the x- term (+ 1)

the factors are + 9 and - 8 , since

9 × - 8 = - 72 and 9 - 8 = + 1 , then

x² + x - 72 = (x + 9)(x - 8) ← in factored form

100 Points! Geometry question. Find x and y. Photo attached. Please show as much work as possible. Thank you!

Answers

The calculated values of x and y in the figure are x = 2 and y = 4

How to calculate x and y in the figure

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

The figure

Where, we have

equal side lengths

This means that

2y - 1 = 3y - 5

Evaluate

y = 4

Next, we have

x + 3 = 3/2x + 2

So, we have

1/2x = 1

This gives

x = 2

Hence, the values of x and y in the figure are x = 2 and y = 4

Read more about triangle at

https://brainly.com/question/31904654

#SPJ1

In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.

Answers

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

For more such answers on supplementary angle

https://brainly.com/question/12919120

#SPJ8

sum of two numbers is 95.if one exeeds the other by 15,find the number (find linear equation and solve)​

Answers

Sum of two numbers is 95. if one exeeds the other by 15,The smaller number is 40 and the larger number is 55.

Let's assume the smaller number is x. The larger number would then be (x + 15), as it exceeds the smaller number by 15.

According to the given information, the sum of the two numbers is 95. We can write this as an equation:

x + (x + 15) = 95

Simplifying the equation:

2x + 15 = 95

Next, let's isolate the variable:

2x = 95 - 15

2x = 80

Finally, divide both sides of the equation by 2 to solve for x:

x = 80 / 2

x = 40

So, the smaller number is 40. To find the larger number, we add 15 to it:

Larger number = 40 + 15

Larger number = 55

Therefore, the smaller number is 40 and the larger number is 55.

for such more question on smaller number

https://brainly.com/question/10853762

#SPJ8

12
Find x.
20
X
x = [ ?
X

Answers

The calculated length x of the right triangle is 16

Finding the length x of the right triangle

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

The right triangle

The length x of the right triangle can be calculated using the following Pythagoras theorem

x² = difference of squares of the other sides

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

x² = (20)² - (12)²

Evaluate

x² = 256

Take the square roots

x = 16

Hence, the length x of the right triangle is 16

Read more about right triangle at

brainly.com/question/2437195

#SPJ1

Other Questions
1. Write short note (with illustration) on the following microwave waveguide components. a) H-plane tee-junction (current junction) b) E-plane tee-junction (voltage junction) c) E-H plane tee junction Which of the following statement(s) is not true?Group of answer choicesc) The present Chinese economic system includes some private ownership of businesses.a and b are correct answers to the question.b) ESG is a tool advocated by shareholder theorists as an effective measurement of whether the corporation is legally maximizing profits.a) Shareholder theory and Stakeholder theory agree on the following proposition. A corporation following shareholder theory will always pay employees the lowest negotiable wages, even if inadequate compensation for the work being performed.d) John Rawl's theory in pursuing "justice as fairness" places lesser value on private property. e. a and b are correct answers to the question. Did Joseph Mallord William Turner mostly operate within the conventions of the time? Why or why not? Explain. Provide sources if any were used. Thanks! If the equation of the tangent plane tox2+y2268z2=0at(1,1,1/134)isx+y+z+=0, then++=___ Question 2 12 A simplified model of hydrogen bonds of water is depicted in the figure as linear arrangement of point charges. The intra molecular distance between 1 and 22, as well as q3 and q4 is 0.10 nm (represented as thick line). And the shortest distance between the two molecules is 0.17 nm (q2 and q3, inter- molecular bond as dashed line). The elementary charge e = 1.602 x 10-19C. Midway OH -0.35e H +0.35e OH -0.35e H +0.35e Fig. 2 42 93 94 (a) Calculate the energy that must be supplied to break the hydrogen bond (midway point), the elec- trostatic interaction among the four charges. (b) Calculate the electric potential midway between the two H2O molecules q1 how does achilles demonstrate his anger towards agamemnon in the iliad? 7.) Find the following: a.) A 200-MHz carrier is modulated by a 3.6-kHz signal and the resulting maximum deviation is 5.8 kHz. What is the deviation ratio? b.) What is the bandwidth of the FM signal using the conventional method (Bessel Function)? c.) What is the bandwidth of the FM signal using Carson's rule? d.) Sketch the spectrum of the signal, include all of the significant sidebands and their magnitudes FUTURESUse the following information to answer Questions 7 to 12:Alfred takes the short position on 10 oil futures contracts at a futures price of $75per barrel. Each contract is on 1,000 barrels of oil. Settlement prices on the next 4days are given as follows:Day Price1 $75.502 $793 $774 $75The exchange enforces an initial margin requirement of 10% and a maintenancemargin of 5%.7. The value of each contract at inception is closest to:A. $75,000B. $75,500C. $758. The minimum amount that Alfred must deposit in his futures margin account totake his desired position is closest to:A. $75,000B. $37,500C. $750,0009. The maximum amount that Alfred can withdraw from his futures marginaccount at the end of Day 2 and keep his position open at the same time is closest to:(Assume that he deposited the minimum amount required at contract inceptionand did not deposit any more money into his account).A. ZeroB. $10,000C. $5,00010. If Alfred closes out his position at the end of Day 3, the total amount ofmoney in his account would be closest to?A. $55,000B. $97,500C. $95,00011. Assuming that Alfred withdraws no money from his account, meets all margincalls and closes his position at the end of Day 4, the balance in his account wouldbe closest to?A. $75,000B. $115,000C. $77,50012. Assuming that Alfred withdraws the entire excess margin from his account atthe end of Day 3, the balance in his account at the end of Day 4 is closest to:A. $115,000B. $75,000C. $95,000Use the following information to answer questions 20-24:An investor takes a long position in 10 July Oil futures contracts at a price of $85per barrel. Each contract is for 1,000 barrels of oil. The required initial margin is$800 per contract and the maintenance margin is $600 per contract.July Oil futures decline to $84.5 on Day-1, rise to $84.7 on Day-2 and decline to$84.3 on Day-3.20. What is the balance in the investors account at the end of the first day?A. $3,000B. $13,000C. $5,00021. What amount is the investor required to deposit at the start of the second day?A. $3,000B. $8,000C. $5,00022. What is the balance in the investors account at the end of the second day?A. $11,000B. $10,000C. $5,00023. How much can the investor withdraw at the end of the second day?A. $10,000B. $2,000C. $4,00024. Suppose that the investor withdraws half of what he is entitled to withdrawfrom his account on the secondday, how much is the balance in his account at the end of the third day?A. $5,000B. $7,000C. $14,000 Donna and Joel are married. Their 2022 tax and other related information is as follows: Total salaries $101,500 Bank account interest income 3,500 Increase in value of Randy and Sharons house (they did not sell their house during the year) 25,500 Employer paid premiums health insurance 7,500 Dividend income from ABC stock 2,000 Inheritance from Randy's parents 35,000 Personal injury award to Randy 55,000 Joel used his employer-provided discount of 40% to buy a $1,000 piece of machinery that his company sells as inventory. Joel only paid $600 for the machinery because of the discount. The companys gross profit percentage is 28%. 400 What is Joel and Donnas Adjusted Gross Income for 2022? A) $162,120 B) $103,620 C) $138,620 D) $107,120 Howdo the functions of domestic intermediaries differ from the foreignintermediaries? Include an example with your response. name 2 components of fitness used in the prison ball. An industrial load consumes 10 kW at a power factor of 0.80 lagging from a 240-V, 60- Hz, single phase source. A bank of capacitors is connected in parallel to the load to raise the power factor to 0.95 lagging. Find the current drawn from the source. Find the reactive power drawn from the source. Find the apparent power drawn from the source. Find the required reactive power in KVAR to raise the Power factor to 0.95 lagging. Find the required capacitance of the capacitor bank in uF. Shawn has a bag containing seven balls :one green, one orange, one blue ,only yellow ,one purple ,one white,and one red . All balls are equally likely to be chosen. Shawn will choose one ball without looking in the bag . What is the probability that Shawn will choose the purple ball out of the bag ? Exolain the purpose of sisco IOS/\? Which Action Type Is Intended To Cause A Form To Process Collected User Data? Submit Reset Empty Button Find the indicated derivative or antiderivative (a)dxdx2+4xx1(b)x2+4xx1dx(c)d/dx(x+5)(x2)(d)(x+5)(x2)dx Describe a time you received exemplary customer service.Identify the treatment you received. Which of the following molecules is a purine type of nitrogenous base?A) 2B) 3C) 5D) 12E) 13 1. A 2.00-kg block of copper at 20.0C is dropped into a large vessel of liquid nitrogen at its boiling point, 77.3 K. How many kilograms of nitrogen boil away by the time the copper reaches 77.3 K? (The specific heat of copper is 0.368 J/g.C, and the latent heat of vaporization of nitrogen is 202.0 J/g.)2. A truck with total mass 21 200 kg is travelling at 95 km/h. The truck's aluminium brakes have a combined mass of 75.0 kg. If the brakes are initially at room temperature (18.0C) and all the truck's kinetic energy is transferred to the brakes:(a) What temperature do the brakes reach when the truck comes to a stop?(b) How many times can the truck be stopped from this speed before the brakes start to melt? [Tmelt for Al is 630C](c) State clearly the assumptions you have made in answering this problem what are the similarities and differences between taylors time-motion studies and mayos hawthorne studies?