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Akimi4 [234]
3 years ago
5

A top-fuel dragster ran a 1/4-mile (1320 ft) race. It had traveled 1305.48 feet after 3.58 seconds and it traveled the entire 13

20 feet in 3.61 seconds. What was its speed, approximately, in feet per second at the end of the race? In miles per hour?
Mathematics
1 answer:
tester [92]3 years ago
5 0

Answer:  

A

Step-by-step explanation:

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
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The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

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AB and BC are legs of the triangle ABC.

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<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

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Taking square root on both sides.

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\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

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