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3 years ago

Answer each question with a fraction.

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

Answer:

The average speed is $\frac{3}{35}\frac{ft}{min}$

Step-by-step explanation:

we know that

To find out the average speed divide the distance by the time

Let

s -----> average speed

d -----> the distance in feet

t ----> the time in minutes

$s=\frac{d}{t}$

we have

$d=6\ ft$

$t=70\ min$

substitute

$s=\frac{6}{70}\frac{ft}{min}$

Simplify

$s=\frac{3}{35}\frac{ft}{min}$

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Mashutka [201]

Answer:

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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

Nana76 [90]

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

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<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.

$\Rightarrow 16\times 5 = x\times x$

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$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

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square and square roots get canceled, we get

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

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