The diagram below shows a square inside a regular octagon. the apothem is of the octagon is 13.28 units. to the nearest square unit, what is the area of the shaded region?

I found the image of this problem. Its side measure is 13.  The octagon can form 8 triangles. Its apothem can serve as the height of the triangle. We need to get the area of the triangle and multiply it by 8. We then deduct the area of the square from the total area.

Area of a triangle = (height * base) / 2

A = (15.69 * 13) / 2

A = 203.97 / 2  

A = 101.985 sq. units

101.985 x 8 = 815.88 sq. units

Area of the square = s²

A = 13²

A = 169 sq. unit

Area of the shaded region: 815.88 sq. unit - 169 sq. unit = 646.88 sq. unit

Step-by-step explanation:

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of