Question

a spray can is usedto paint a wall .the thickness of the paint on the wall is t.the distance of the spray can from the wall is d. t is inversly proportional to the square of d. t=0.2 when d=8.find t when d=10

Answer 1

Answer:

t = 0.128

Step-by-step explanation:

Proportionality

We are given the following proportionality rule: t is inversely proportional to the square of d. This can be written as:

$\displaystyle t=\frac{k}{d^2}$

Where k is the constant of proportionality. It can be found by using the condition: t=0.2 when d=8. Substituting:

$\displaystyle 0.2=\frac{k}{8^2}$

$\displaystyle 0.2=\frac{k}{64}$

Solving for k:

k=12.8

The equation is:

$\displaystyle t=\frac{12.8}{d^2}$

When d=10:

$\displaystyle t=\frac{12.8}{10^2}$

t = 0.128