Answer:
120 degrees
Step-by-step explanation:
Answer:
Part A) The volume of the entire cone is 
Part B) see the explanation
Step-by-step explanation:
Part A) we know that
The volume of a cone is equal to

where
r is the radius of the base of the cone
h is the height of the cone
In this problem triangle ABD is similar to triangle ACE
Remember that If two figures are similar, then the ratio of its corresponding sides is proportional
so

substitute the given values

solve for x

To find out the volume of the entire cone we have


substitute in the formula


Part B) How did you determine the value for x in triangle ACE
In this problem triangle ABD is similar to triangle ACE
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so

substitute the given values and solve for x
Is the 2 in the sqr? If not, the graph just moves up by 2 units
Answer:
w > -1
Step-by-step explanation:
Hello There!
We want to simplify this expression to be more specific we want to isolate the variable (w) using inverse operations
So we want to get rid of the 8 in 8w
8w is the same as 8 times w (multiplication)
The inverse of multiplication is division so to get rid of the 8 we want to divide by 8 but remember whatever we do to one side we want to do to the other side. So we divide each side by 8
-8/8 = - 1
8w/8=w
we're left with w > -1
P = paddling speed
C = speed of the current
Upstream: 6 = 4 (P - C. Downstream: 6 = 3 (P + C)
4P - 4C = 6
3P + 3C = 6
12P - 12C = 18
12P + 12C = 24
Add the equations:
24P = 42. P = 42/24 = 1.75 mph
Subtract the equations:
-24C = -6
C = 0.25 mph