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barxatty [35]
2 years ago
9

A tarp is used to keep the infield of a baseball field from getting wet. The infield is a square. The corners of the square tarp

are anchored at each base. The tarp is 8,100 square feet.
a. What is the distance between first and second base?
b. Is 8,100 a perfect square? Explain your reasoning
Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

Answer:

<h2>a. 2,025 ft</h2><h2>b. 8,100 is a perfect square. </h2>

Step-by-step & explanation:

<em>It is a perfect square because if it wasn't, it wouldn't be equally a whole number when divided by 4 or 2,025 exactly on ALL 4 sides and when finding the root of 8,100 it's a perfect 90.  As you should already know a perfect square has a given 90 degree angle.</em>

Tarp = 8,100 sq ft.

- anchored corners at the base.

- Square infield.

Well if there's 4 bases, divide 8,100 by 4.

8,100 / 4 = 2,025

One base to another base is 2,025 ft.

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w = 23

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w = width

l = w+5

P = 2 (l+w)

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Find the area of the triangle
BARSIC [14]

Answer:

The Area of Δ ABC = 219.13

Step-by-step explanation:

<em>The hard part about this problem is finding the area without the height</em>

The formula to do this is Area = \sqrt{S(S-A)(S-B)(S-C)}

A, B, C represent the sides

S represents \frac{1}{2} (A + B + C)

In this equation, we will make the base be A, and the other two sides will be B and C

<u>Sides B and C are the same length</u> because they meet at a 90° angle

Lets plug the numbers into the variables

A = 28

B= 21

C= 21

<u>Remember:</u> S represents  \frac{1}{2}  (A + B + C)

S =  \frac{1}{2} (28 + 21 + 21)

S =  \frac{1}{2} (70)

S = 35

<em>Lets plug the numbers into the Area Formula now!</em>

Area = \sqrt{35(35 - 28)(35 - 21)(35 - 21)}

According to the order of operations, we need to do the calculations in parentheses <u>first</u>

35 - 28 = 7

35 - 21 = 14

35 - 21 = 14

14 x 14 x 7 = 1372

1372 x 35 = 48020

\sqrt{48020} = 219.13

The Area of Δ ABC = 219.13

3 0
3 years ago
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