181,597 views
28 votes
28 votes
G varies inversely with the squareof H. When H is 4, G is 0.25.Find the value of G when H is 0.3.G = [?]Round answer to the nearest tenth.

User Susannah
by
2.9k points

1 Answer

14 votes
14 votes

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

H = 4

G = 0.25

Step 02:

inverse variation:

y = k / x


G=(k)/(H^2)

H = 4 and G = 0.25:

k:


\begin{gathered} 0.25=(k)/(4^2) \\ \\ 0.25=(k)/(16) \\ \\ 16*0.25=k \\ \\ 4\text{ = k} \end{gathered}

H = 0.3, G:


G=(k)/(H^2)=(4)/(0.3^2)=(4)/(0.09)=44.4

The answer is:

G = 44.4

User Zlr
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.