G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100
-
15
- 25
- 75
- 225
The correct answer is: A
Explanation
G \(\alpha\) H2G = KH2
4 = K(3)2
4 = 9k; K = \(\frac{4}{9}\)
100 = \(\frac{4}{9}H^2\)
4H2 = 900
H2 = \(\frac{900}{4}\)
H2 = 225
H = \(\sqrt{225}\)
H = 15