Algebra with exponent question

Question

meteorlogists us the formula D3 = 684t2 to describe violent storms, such as tornados and hurricans. If the diameter of a hurricane is 30 km, how long will it last.

Answer 1

First, lets manipulate the formula.

 

D³ = 684t²

 

 

Divide both sides of the equation by 684.

 

D³ / 684 = t²

 

 

Square-root both sides of the equation.

 

√(D³ / 684) = t

 

 

Now we simplify this radical equation.

 

√((D² * D) / (19 * 36)) = t

 

(D / 6) * √(D / 19) = t

 

 

Now just plug in your value of D to solve for t.