A regular octagon has an apothem of 11.6 inches and a perimeter of 87.2
inches. What is the area of the octagon? *
505.76
1011.52
98.80
2023.04

The area of the octagon is 505.76

Step-by-step explanation:

In this question, we are tasked with calculating the area of as regular octagon given the lengthy of its apothem ans its perimeter

Mathematically, the area of a regular octagon with an apothem can be calculated as follows

Area = 1/2 × apothem × perimeter

From the question, we can identify the length of the apothem as 11.6 inches and the perimeter of the octagon as 87.2 inches

Now, we plug these values

Area = 1/2 × 11.6 × 87.2 = 505.76

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.