Question

Please help go to my profile and answer the questions

Answer 1

Answer:

$h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}$

Step-by-step explanation:

Given the expression

$S=\pi \:r\left(h+k\right)\:$

• Let us solve for h

$S=\pi \:r\left(h+k\right)\:$

Flip the equation

$\pi r\left(h+k\right)\:=\:S$

Apply distributive law:  $a\left(b+c\right)=ab+ac$

$\pi hr+\pi kr=S$      

Add -πkr to both sides

$\pi hr+\pi kr+\left(-\pi kr\right)=S+\left(-\pi kr\right)$

$\pi hr\:=\:-\pi kr\:+\:S$

Divide both sides by πr

$\pi hr\:/\:\pi r\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}$

$h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}$

Therefore, we conclude that:

$h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}$