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Nezavi [6.7K]
3 years ago
13

Can someone help with this question?

Mathematics
2 answers:
ivann1987 [24]3 years ago
3 0

You solve an expression for a variable if that variable sits alone on one side of the equation, and everything else is on the other side.

So, our goal is to leave h alone on the right hand side, and move everything else to the left.

So, we start with

V = \dfrac{1}{3}s^2h

We multiply both sides by 3:

3V = s^2h

We divide both sides by s^2

\dfrac{3V}{s^2} = h

To compute the required height, simply plug in the values:

\dfrac{3\cdot 400}{10^2} = \dfrac{3\cdot 400}{100} = 3\cdot 4 = 12

kiruha [24]3 years ago
3 0

Answer: \bold{h=\dfrac{3V}{s^2}, \qquad h=12}

<u>Step-by-step explanation:</u>

Isolate the variable "h" by multiplying both sides by 3 and dividing both sides by s².

V=\dfrac{1}{3}s^2h

(3)V=(3)\dfrac{1}{3}s^2h\ \quad \rightarrow\ \quad 3V=s^2h

\dfrac{3V}{s^2}=\dfrac{s^2h}{s^2}\ \quad \rightarrow \quad \dfrac{3V}{s^2}=h


Next, substitute V = 400 and s = 10 to solve for h:

h=\dfrac{3(400)}{(10)^2}

   =\dfrac{1200}{100}

   = 12

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