The circumference of my circle is 45 inches. what is the diameter

diameter ≈ 14.32 in ( 2 dec. places )

Step-by-step explanation:

the formula for calculating the circumference (C) of a circle is

C = πd ← d is the diameter

isolate d by dividing both sides by π

d = = ≈ 14.32

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is