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B.if f varies directly as g and inversely as thesquare of h,and f=20 wheng=50 and h=5 find f when g=18 and h=6.a)translate the statement; b)find the value of k; c) what is the value of f?​

Sagot :

Answer:

a. f = kg/h²

b. 10

c. 5

Step-by-step explanation:

f varies directly as g and inversely as the square of h

f = kg/h² where k is the constant of variation

if f = 20 when g = 50 and h = 5

f = kg/h²

20 = k ( 50 )/5²

20 = k ( 50 )/25

20 = k ( 2 )

k = 20/2

k = 10

find f when g =1 8 and h = 6.

f = kg/h²

f = ( 10 ) ( 18 )/6²

f = 180/36

f = 5