Parallelograms and trapezoids always do.
(Note: "Parallelograms" includes rectangles, squares, and rhombussesses.)
Any polygon with more than 4 sides <u>can</u> have at least one pair of parallel sides,
but it's not guaranteed.
Miles, who makes cash contributions to charities.
Answer:
18" X 18" X 36"
Step-by-step explanation:
Given a square base container of height h, let a side of the base =s
The volume of the container,
If the sum of its height and girth (the perimeter of its base) equals 108 in
Substituting h=108-4s into V
We are required to determine the maximum volume of such container, first we take the derivative:
Optimizing:
Recall that: h = 108-4s
The dimensions of the carton are 18" X 18" X 36".
-4x + 7y = -8 . . . (1)
-5x + 6y = 1 . . . .(2)
(1) x 5 => -20x + 35y = -40 . . . (3)
(2) x 4 => -20x + 24y = 4 . . . . .(4)
(3) - (4) => 11y = -44 => y = -44/11 = -4
From (2), -5x + 6(-4) = 1 => -5x - 24 = 1 => -5x = 1 + 24 = 25 => x = 25/-5 = -5
Therefore, x = -5, y = -4
Her net pay would be $695. You subtract $31, $10 and $14 from $750, and that is what she would take home.