Answer:
9 cm
Step-by-step explanation:
Use the cone volume formula, V =
r²
Plug in the volume and radius, and solve for h, the height:
V =
r²
27
=
(3²)
27
= 9

3 = 
9 = h
So, the height of the cone is 9 cm
I have always followed an easy rule: "five or more raises the score". What it means is if the number is 5 or more, it goes to the next whole. Make sense?
Answer:
(x, y) ≈ (2.848, -19.241)
Step-by-step explanation:
I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...
-4x +15y = -300
20x +4y = -20
Dividing the second equation by 4 and subtracting the x-term gives ...
y = -5-5x
Substituting that into the first equation, we get ...
-4x +15(-5-5x) = -300
-79x -75 = -300
x = -225/-79 = 2 67/79 ≈ 2.8481
Substituting this into the equation for y gives ...
y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405
The approximate solution is ...
(x, y) = (2.8481, -19.2405)
Answer:
y = 
Step-by-step explanation:
Given
5x - 8y = 11 ( subtract 5x from both sides )
- 8y = 11 - 5x ( multiply through by - 1 )
8y = - 11 + 5x = 5x - 11 ( divide both sides by 8 )
y = 