Dolores is working on her flower garden. Her garden is a square with an area of 81 square feet. She wants to cover a circular area inside her garden with mulch. The edge of the circle will touch each side of the square. How many square feet will be covered in mulch?

63.62 ft²

Step-by-step explanation:

Area of a square is given by b*b=b²

Where b is the measurement of any side

Given area of 81 ft² then to get b, we get rhe squareroot

b²=81

b=√81=9

This 9 is the diameter of rhe circular area that mulch covers.

Radius is half the diameter hence 0.5*9=4.5 ft

The area of circle will be given by

A=πr²

Substituting 4.5 in for r then

A=π*4.5²=63.6172512351933 ft²

Rounded off as 63.62 ft²

  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).

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints