The variable z is inversely proportional to x. when x is 19, z has the value 0.10526315789474. what is the value of z when x= 28? round to at least the thousandths place if needed.

When two variables are inversely proportional the relation between them can be written as:

Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.

The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:

We have to find the value of z when x=28. So replacing x by 28, we get:

Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

72 is the answer to this problem