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if h varies jointly as j and i and inversely as g, h = 5 when j = 2, i = 5 and g = 1/2. find h when j= 4 =, i=10 and z = 1/4?
a. 25
b.100
c.800
d.80​


Sagot :

Answer:

[tex]h = \frac{kji}{g} \\ \\ 5 = \frac{k(2)(5)}{ \frac{1}{2} } \\ \\ 5 = \ \frac{10k}{ \frac{1}{2 \:} } \\ \\ \frac{10k}{10} = \frac{2.5}{10} \\ \\ k = 0.25 \\ \\ \\ h = \frac{(0.25)(4)(10)}{ \frac{1}{4} } \\ \\ h = \frac{10}{ \frac{1}{4} } \\ \\ h = 40 [/tex]