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2 years ago

14

gallons of water can fill a pool that is 50 yards by 20 yards and is 9 feet deep? (Assume 7 1/2 gallons per cubic foot.)

1 answer:

saul85 [17]2 years ago

6 0

L = 50 yards or 150 feet W = 20 yards or 60 feet H = 9 feet V = 150 * 60 * 9 V = 81000 cubic feet then multiply the volume, 81000, by 7.5, or 607,500 gallons.
hope i helped

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Step $2$

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Step $3$

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

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Step $4$

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we know that

$DC=AC-AD$

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$AC=33.8\ units$

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substitute the values

$DC=33.8\ units-5\ units$

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Step $5$

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

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substitute the values

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therefore

<u>the answer is</u>

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3 years ago

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