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Let x represent the length of the shortest side. Then the longest side is
... 2x -7 . . . . . . 7 ft shorter than twice the shortest side
and the 3rd side is
... x +2 . . . . . . 2 ft longer than the shortest side.
The perimeter is the sum of the side lengths,
... x + (2x -7) + (x +2) = 59 . . . . . the given perimeter length
... 4x -5 = 59 . . . . collect terms
... 4x = 64 . . . . . . add 5
... x = 16 . . . . . . . . divide by 4
Then the other sides are
... 2×16 - 7 = 25 . . . . . longest side
... 16 +2 = 18 . . . . . . . . third side
The side lengths are 16 ft, 18 ft, and 25 ft.
Answer:
A
Step-by-step explanation:
a) We have to calculate the height of the pad.
We know that the volume will be 4704 cubic feet.
We also know that the base of the pad is a square of side length 56 feet.
As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:

The height is 1.5 feet.
b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².
The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:

The diameter is approximately 63.21 feet.
Answer:
a) The pad will be 1.5 feet thick
b) The diameter will be 63.21 feet.
Answer:
- as written, -57
- as perhaps intended, C. -11
Step-by-step explanation:
The expression shown evaluates as ...
7 + 32(-5 +1)/2 = 7 +32(-4)/2 = 7 -128/2 = 7 -64 = -57
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If we assume your "32" is supposed to be 3², or 3^2, then the expression evaluates differently:
7 +3²(-5 +1)/2 = 7 + 9(-4)/2 = 7 -36/2 = 7 -18 = -11 . . . . matches choice C
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When in doubt, you can have the Google calculator evaluate your expression. However, you do have to write it properly and with all the required parentheses.