Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
$3820 total, $32 per alumnus.
Step-by-step explanation:
The total cost will be 
Each alumnus pays 
Rounding to nearest whole number = $32 per alumnus.
Perimeter = 24
triangle perimeter = 2W + 2L
24= 2W + 2L
12 = W + L
L= 12-W
AREA = W*L
AREA = (W)(12-W)
A = 12W-W^2
maximum occurs when you take the derivative
d/dw=12-2w = 0
w=6
after this i think we can say 6 * 6 = 36 is the maximum area.. not to sure, havent done a problem like this in a while
hope this helps
or if we know what w=6 we can find L
L = 12-w which we still get 6<span />
Answer:
y smaller than - 1/3
Step-by-step explanation:
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Answer:
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