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2 years ago

Determine the space (area) needed to build the new track.

Mathematics

1 answer:

charle [14.2K]2 years ago

7 0

Answer:

The area needed is 13,000 square feet.

Step-by-step explanation:

The total space (area) = area of the square + area of the two half circles

=> Total area = area of square + area of the circle (as adding the two halves makes a complete circle)

$i.e \\ total \: area \: = 51 \times 250 + \pi( {r}^{2} ) \\ total \: area \: = 12750 + \pi( {25.5}^{2} ) \\ total \: area \: = 12750+ 251 \\ total \: area \: = 13000 \: square \: feet$

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Snezhnost [94]

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2 years ago

What is the name of an equivalent name for 96

Aleksandr-060686 [28]

For this case we have the following number:
96
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3 years ago

Read 2 more answers

For the rhombus, what are the slopes of the two diagonals? DO NOT introduce any new variables.

Jobisdone [24]

The slopes of the two diagonals of the rhombus are: A. b - f/a - e and -a + e/b - f.

<h3>What is the Slope of a Line Segment?</h3>

To find the slope, the formula used is: change in y/change in x.

If two lines are perpendicular to each other, their slope values will be negative reciprocals.

<h3>What is the Diagonals of a Rhombus?</h3>

In a rhombus, the two diagonals in the rhombus bisects each other at angle 90 degrees. This means that the two diagonals of a rhombus are perpendicular to each other. Therefore, the slope of the diagonals of any rhombus would be negative reciprocals.

The slope of the diagonals of the rhombus given would therefore be negative reciprocals to each other.

Given two endpoints of one of the diagonals as:

(a, b) = (x1, y1)

(e, f) = (x2, y2)

Slope (m) = change in y / change in x = b - f/a - e

The negative reciprocal of b - f/a - e is -a + e/b - f.

Therefore, the slopes of the two diagonals are: A. b - f/a - e and -a + e/b - f.

Learn more about the slopes of diagonals of a rhombus on:

brainly.com/question/3050890

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5 0

1 year ago

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each

Nataly_w [17]

Answer:

12 small boxes

8 large boxes

Step-by-step explanation:

let x be the number of small boxes shipped

let y be the number of large boxes shipped

This means:

the total number of boxes is 20, so

x + y = 20

the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so

50x + 100y = 1400

Then, solve

First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50

x + 2y = 28

Now, subtract the two equations:

x + 2y = 28

- (x + y = 20)

y = 8

Now plug this into the equation x + y = 20

x + 8 = 20

x = 12

So the number of small boxes is 12 and the number of large boxes is 8.

Here's a graph:

7 0

3 years ago

Given the formula A = P(1 + )". compute A (rounded to two decimal places) if P = 10,000,7

Flura [38]

Answer:

A = 16010.32

Step-by-step explanation:

Given that,

$A=P(1+\dfrac{r}{k})^n$

Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.

$A=10,000(1+\dfrac{0.08}{2})^{12}\\\\=10,000\times (1.04)^{12}\\\\=16,010.32$

So, the value of A is 16010.32. Hence, the correct option is (B).

4 0

2 years ago