What circular area is covered by the signal if the
circumference is 754 miles?

A =45216 miles^2

Step-by-step explanation:

We can find the radius

C = 2 * pi *r

754 = 2 * pi *r

Divide each side by 2 pi

754 /2pi = 2 * pi *r/ 2 pi

377/pi =r

Approximating 3.14 for pi and rounding the radius to the nearest mile

120 = r

Now we need to find the area

A = pi r^2

A = 3.14 (120)^2

A = 3.14 (14400)

A =45216 miles^2

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

5104.38 inches

step-by-step explanation: