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2 years ago

NEED ANSWER ASAP- FOR FINALS

Mathematics

1 answer:

irga5000 [103]2 years ago

6 0

Answer:

Height: 6 feet, Length: 14 feet, Width: 35 feet.

Step-by-step explanation:

The volume of a rectangular prism is length * width * height.

We know that the height of the pool is 6 feet and that one side is 2.5 times longer than the other. It doesn't matter which side, as long it's not the height. So let's just say the width is 2.5 times bigger than the length.

That means our equation can be rewritten as V = height * length* 2.5 * length.

Plugging in what we know, we get:

$2940=(6)(l)(2.5l)\\196=l^{2} \\l=14 feet$

Now we need to find the width.

$w=2.5l\\w=2.5(14)\\w= 35feet$

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Answer:

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Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

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The volume of a rectangular prism is given by:

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In this problem,

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Therefore, the volume of the prism is:

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The equation above is the intercept form. Both a-term and b-term are the roots of equation.

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Simplify by multiplying both expressions.

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Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

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Answer

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2 years ago