Answer:
The window should be positioned 4 1/8 feet far from each edge of the wall.
Step-by-step explanation:
Since a construction crew is placing a square in a wall for a new window, which is 3 1/8 feet wide, while the wall has a length of 11 3/8 feet, and the crew wants to position the window at the center of the wall, to determine how far from each edge of the wall should the window be positioned, the following calculation must be performed:
1/8 = 0.125
3/8 = 0.375
(11,375 - 3,125) / 2 = X
8.25 / 2 = X
4.125 = X
Therefore, the window should be positioned 4 1/8 feet far from each edge of the wall.
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
Answer:
Step-by-step explanation:
Sum of two sides of triangle always greater than third side, so the possible values of h is:
7x-3x < h < 7x+3x
4x < h < 10x
