Consider the right triangle in the attached diagram. Using the Pythagorean theorem, you can find the distance marked "a" by
r² = a² + o²
a = √(r² - o²) = √(20² -16²)
a = √(400 - 256) = √144 = 12
The
maximum depth is the difference between r and a, so is (20-12) cm =
8 cm.
Answer:
5
Step-by-step explanation:
distribute: 2x+6 = 4x-4
subtract 2x from both sides: 6 = 2x-4
add 4 to both sides: 10 = 2x
divide both sides by 2: 5 = x
x = 5
Answer:
7 boxes
Step-by-step explanation:
The area of a rectangular prism is given by the formula ...
A = 2(LW +H(L+W))
The amount of wallpaper Carmen needs for one box is found by computing the area of the box.
__
<h3>One box</h3>
A = 2(5·6 +7(5+6)) = 2(30 +7·11) = 2(107) = 214 . . . square feet
<h3>All boxes</h3>
Carmen will be using a total of 214x square feet of wallpaper to cover x boxes. She has 1498 ft² available, so can cover ...
1498 ft²/(214 ft²/box) = 7 boxes
Carmen has enough wallpaper to cover 7 storage boxes.
Answer:
0.14, 0.5, 0.71, 0.8, 0.83
