The perimeter of the figure below is 71.4 in. Find the length of the missing side. 8.3 in
4.4 in
4.4 in
4.4 in
4.4 in
2.7 in
2.7 in
4.4 in
4.4 in
11.4 in
11.4 in
?

8.5

Step-by-step explanation:

The perimeter is the distance around the figure. It can be found by adding up the side lengths of all of the sides of the figure. In this case, one is given the perimeter (71.4), and all of the side lengths except one. Make an equation; call the unknown side (x), then solve for (x).

71.4 = 8.3 + 4.4 + 4.4 + 4.4 + 4.4 + 2.7 + 2.7 + 4.4 + 4.4 + 11.4 + 11.4 + x

Simplify,

71.4 = 62.9 + x

Inverse operations,

8.5 = x

your answer would be 10x - 1

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: