Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. find the area of an equilateral triangle (regular 3-gon) with the given measurement. 3-inch radius a = sq. in.

A =  (27/4)√3 in²

Explanation:

You are required to calculate the area, A, of an equilateral triangle, when you know its radius is 3 inches.

The radius of an equilateral triangle is the radius of the cirscumscribed circle.

The equilateral triangle has several characteristics which can be geometrically deduced:

       r = x √3 / 3 ⇒ x = r√3

       Area = [√3 / 4] x²

        Area = [3 √3 / 4] r²

            Area = [3 √3 / 4] x² = [3 √3 / 4] (3 in)² = 27√3 / 4 in²

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: