a regular octagon is inscribed in a circle with a radius of 5 feet. what is the area of the octagon?

a) 72.3
b) 76.5
c) 71.5
d) 70.7

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

There will be 8 triangles made.

The center angle will be =

The triangle will be formed an isosceles triangle, so remaining angle will be :

opposite= CD =

Similarly,

adjacent = BD =

The complete AB will be =

Area of triangle ABC will be =

So, the area of octagon will be 8 times area of this triangle.

Area of octagon will be =

Hence are the area of octagon is  70.70 :   Option D  :   Answer

Hope it will help :)

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!