How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 30- foot radius ?

ANSWER:  

We need 31 flowers to surround the garden.

SOLUTION:

Given, flowers spaced every 6 inches around a circular garden with a 30- foot radius.

Let the number of flowers be x.

Radius (r) = 30 ft

Then, perimeter of the circle =

= 188.4955  = 189.5 ft approximately

Now, the number of flowers to surround the garden is total available path distance divided by space between flowers.

We can neglect the fractional part as that fraction represents the space is less than 6, which means the circular path is surrounded.

Hence, we need 31 flowers to surround the garden.

  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).

25.2

step-by-step explanation:

2+4x6-8/10= 25.2