Find the area of a regular 12-sided polygon with side of length s and apothem 8.
(give your answer in terms of s.)

Apothem is the height of a triangel formed by two consecutive vertices with the center.  the are of this triangle = 1/2 s 8  = 4s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s

 There will be 1.37 x 10^13  crickets after 3 years.

Step-by-step explanation:

Hi, to answer this question we simply have to replace x in the formula by the number of months in 3 years.

f (x) = 200 (2^x)

Where x is the number of months

Since one year has 12 months,

for 3 years: 3 x 12 = 36 months

Substituting  x= 36 on the function

f (36) = 200 (2^36)

f (36) = 200 (2^x)

f(36) = 1.37 x 10^13

Feel free to ask for more if needed or if you did not understand something.