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H varies directly as L. If H = 16 when L =40, determine H when L = 20

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Since H varies directly as L, then we have


H\propto L

This implies that


\begin{gathered} (H_1)/(L_1)=(H_2)/(L_2)=k, \\ \text{ where k is a constant} \end{gathered}

Therefore,


H_2=(H_1L_2)/(L_1)

In this case,


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