Question

d varies jointly as h and g. if d=15 when h= 14 and g=5, find g when h=21 and d=8

Answer 1

Answer:

g = 1.78

Step-by-step explanation:

Given that,

d varies jointly as h and g.

$d=khg$ .....(1)

Where

k is constant of proportionality.

Put d=15, h= 14 and g=5 in equation (1) to find k.

$k=\dfrac{d}{hg}\\\\k=\dfrac{15}{14\times 5}\\\\k=\dfrac{3}{14}$

Now, put k = 3/14, h = 21 and d = 8 in equation (1) to find g.

$g=\dfrac{d}{kh}\\\\g=\dfrac{8}{\dfrac{3}{14}\times 21}\\\\g=1.78$

So, the required value of g is 1.78.