Answer:
47.3 m³
Step-by-step explanation:
The garden shed is made up of a rectangular prism and a pyramid.
<h3><u>Volume of a rectangular prism</u></h3>

<h3><u>Volume of a pyramid</u></h3>
<u />
From inspection of the given diagram, the slant height of the pyramid is 3.5 m.
Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

Therefore:

<h3><u>Volume of the garden shed</u></h3>

This is proportion so multiply 2 by 4 and then divide it by 8 to get 1. The answer is 1
Answer:
-1 and -2, or 9 and 10
Step-by-step explanation:
If x is the smaller integer:
x (x + 1) = 14 + 4 (x + x + 1)
x² + x = 14 + 4 (2x + 1)
x² + x = 14 + 8x + 4
x² − 7x − 18 = 0
Factor using AC method:
(x − 9) (x + 2) = 0
x = -2 or 9
x is the smaller integer, so the larger integers are -1 and 10. Check each pair of solutions.
-1 and -2:
(-2) (-1) = 14 + 4 (-2 + -1)
2 = 14 + 4 (-3)
2 = 2
9 and 10:
(9) (10) = 14 + 4 (9 + 10)
90 = 14 + 4 (19)
90 = 90
Both solutions work.
Sorry I don't have a calculator with me, but I set up the problem. Be sure to follows order of operations (please excuse my dear aunt Sally) and take the square root of your final answer to get x=
Hope this helps!
I'd go with the subtraction property of equality:
a = b + c precisely when a - b = c