What is the area of a regular hexagon that has a radius of 20 inches.

600root(3)

Step-by-step explanation:

You can split the hexagon into 6 equal triangles.

Find the areas of the triangles first:

We know that the triangles are 30 ,60 ,90 (360/6=60).

From that we can get 10root(3)*10 = 100root(3)

Area of triangle = 100root(3)

Area of hexagon = 600root(3)

-1/2 +2

step-by-step explanation:

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!