Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
Answer:
Step-by-step explanation:
Because of the power of a power property, which states that 
, where m and n are real numbers, the expression you mentioned can be simplified by applying this property like this: 
Answer:
C
Step-by-step explanation:
y < 5 and y < 2 over lap at y < 2
Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
Let x = hats she knitted
Less than means to subtract and it’s an order switcher so it would be
2x - 6 = 78
First step: Add six to both sides -6 + 6 = 0 6 + 78 = 84
2x - 6 = 78
+ 6. +6
2x = 84
Second step: Divide the coefficient on both sides, two is the coefficient
2x/2 = x
2/84 = 42
Therefore, the answer is x= 42
