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Oksana_A [137]
3 years ago
11

H varies directly as L. If H = 30 when L=60, determine H when L= 40.

Mathematics
1 answer:
Sonbull [250]3 years ago
8 0

Answer:

i) The variation <em> equation     H =  k L</em>

<em>ii) The value of H = 20</em>

<em>iii) C)  H = k L</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that H varies directly as L </em>

<em>                     H ∝ L</em>

<em>                    H =  k L</em>

<em>Given that H =30 and L = 60</em>

<em>           ⇒   30 = k (60)</em>

<em>             </em>k = \frac{30}{60} = \frac{1}{2}<em></em>

<u><em>Step(ii):-</em></u>

Given that L = 40

The variation of the equation = H = k L ...(i)

 put L = 40 in equation (i)

 H = \frac{1}{2} X 40 = 20

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