Suppose that g (x) varies inversely with x and g (x)=0.2 when x = 0.1. what is g (x) when x = 1.6? 0.0125 0.032 0.02 0.06

Answer : 0.0125

Suppose that g (x) varies inversely with x and g (x)=0.2 when x = 0.1.

If x varies inversely with y then y=k/x

Where k is constant of proportionality

g (x) varies inversely with x , so

g (x)=0.2 when x = 0.1

Plug in the values and solve for k

Multiply 0.1 on both sides

0.02 = k

so

Now we need to find g(x) when x= 1.6

Plug in 1.6 for x  and find out g(x) in the above equation

g(x)= 0.0125

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft