Answer:

Step-by-step explanation:
Given
Hemisphere

Cone

Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.

Substitute 7 for r



Volume (V2) of a cone is:

Because the lead is cast into a cone, then they have the same volume.
So, we have:


Substitute 49 for h

Divide both sides by 49




<em>Hence, the radius of the cone is 3.74cm</em>
Answer:
$48.15
Step-by-step explanation:
Take 45 and multiply it by 0.07 and you get 3.15. Add that number to 45 and you get 48.15 as your answer
Answer:
false.
Step-by-step explanation:
Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.
Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.
In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.
So it's false. The graph is translated three units downwards and 2 units to the right.
A)
p-5w=8L + 5w - 5w
p -5w=8L
(p- 5w)/8 = 8L/8
(p- 5w)/8 = L
Answer:
1
Step-by-step explanation:
since the 2 functions equal each other:
-2x + 3 = 4x - 9
add -2x to both sides
3 = 6x - 9
add 9 to both sides
12 = 6x
divide by 6
2 = x
you have x, now find y, you just need to plug 2 into one of the equations instead of both bc they both equal the same anyway
-2(2) + 3
-4 + 3
-1 = y
Now we'll find x + y, input them and it's 2 + (-1), which is 1