Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
You are comparing velocities. Without a given acceleration, the time can not be found.
V= 232 m (8x4x7.25) 232 is the volume
Answer:
B) 12
Step-by-step explanation:
C is the circumference, d is the diameter, and r is the radius. They are related by the following equations:
d = 2r
C = πd = 2πr
If d = 6.0, then r = 3.0.
If C / C' = 0.25, then:
(2πr) / (2πr') = 0.25
r / r' = 0.25
3 / r' = 0.25
r' = 12
Answer:
18 yards of material needed to make 24 shirts
Step-by-step explanation:
The unit rate is
1 shirt
------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard
0.75 yards material
This rate could also be written as 3/4 yard per shirt
Multiply this latter rate by 24 shirts:
3 yard
-------------- * 24 shirts = 18 yards of material needed to make 24 shirts
4 shirt
