Aregular hexagon is shown.

what is the measure of the radius, c, rounded to the nearest inch? use the appropriate trigonometric ratio to solve.

a. 6 in.

b. 10 in.

c. 14 in.

d. 24 in.

The central angle of the hexagon is equal to 60º.

Therefore, the trigonometric relationship for the radius is given by:

Where,

a: apothema of the hexagon

c: Hexagon radius.

Clearing the radio we have:

Substituting values:

Rounding to the nearest whole number we have:

The measure of the radius, c, rounded to the nearest inch is:

C. 14 in.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

well if you have a decimal you have to line them up and make sure the you have everything   straight and then add or subtract some thing with   division and   multiplying so just like them up