Question

H varies directly as L. H=18 when L=60, determine H when L=20

Answer 1

Answer:

H varies directly as L.

H=KL.

18=K60.

K=18/60=0.3.

H=0.3L

when H=?,L=20. then.

H=0.3×20=6.

Answer 2

Answer:

6

Step-by-step explanation:

H is proportionate to L, meaning that they can be represented as a ratio, $\frac{h}{l}$.

$\frac{18}{60}$

If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.

$\frac{18}{60} = \frac{x}{20}$.

To find x, we can cross multiply.

$20\cdot18=360\\\\360\div60=6$

So $x=6$, meaning that when $L=20$, $H=6$.

Hope this helped!