The sum of the interior and exterior angle need to equal 180 degrees.
Let the exterior angle = X
You are told the interior angle = 38x +24
Now you have x + 38x +24 = 180
Combine like terms:
39x +24 = 180
Subtract 24 from each side:
39x = 156
Divide both sides by 39:
x = 156 / 39
x = 4
The number of sides is found by dividing 360 by the exterior angle:
360 / 4 = 90
There are 90 sides.
The surface area is 870 cm².
Since the base is a regular quadrilateral, each side is the same; dividing the perimeter by 4 will give us the side length:
60/4 = 15
To find the area, we square the side length:
15² = 225
There are two bases, so the area of these is 2(225) = 450
There are 4 lateral faces, so the lateral area is 4(105) = 420
Together, this gives us a total surface area of 870.
Each hiker will receive 6 ounces each.
When multiplying numbers with exponents, add the exponents.
So the answer is 2^-16
