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3 years ago

10

The difference between the length and the width of a rectangle is 5 centimeters. What id the length (the longer side) of the rec

tangle, if its perimeter is equal to 106 centimeters

1 answer:

Georgia [21]3 years ago

3 0

Answer:

29

Step-by-step explanation:

106=2(x+x+5)

53=2x+5

48=2x

24=x

24+5=29

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3 years ago

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max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

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By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

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$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

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Answer:

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Step-by-step explanation:

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