Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
<u> 5 </u> = <u> h </u>
8 24
cross-multiply:
8h = 120
h = 15
b) <u> x + 5</u> = <u> x + 5 + 15</u>
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5
+ 61x + 180 = 5 + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
A=BH because the shape will at least have 4 sides
Answer:
180
Step-by-step explanation:
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
