Question

Solve for the indicated variable in each mathematical formula.


`A=(1)/(2) (a+b)h (for) h`


`V=\pi r^(2) h (for ) h`


`SA=2\pi r^(2) +2\pi rh( for) h`

Answer 1

To solve for a variable, you have to isolate that variable onto one side.

1.

Firstly, multiply both sides by 2:
`2A=(a+b)h`

Next, divide both sides by a + b and your answer will be:
`(2A)/(a+b)=h`

2.

For this, divide both sides by πr², and your answer will be
`(V)/(\pi r^2)=h`

3.

Firstly, subtract both sides by 2πr²:
`SA-2\pi r^2=2\pi rh`

Lastly, divide both sides by 2πr, and your answer will be:
`(SA-2\pi r^2)/(2\pi r)=h`