With the curve

parameterized by

with

, and given the vector field

the work done by

on a particle moving on along

is given by the line integral

where

The integral is then


They are supplementary angles. They are located on a straight line, and when added together they will add up to 180 degrees.
Answer: 180 ft^3
Step-by-step explanation:
Answer:
or
(simplified)
Step-by-step explanation:
Based on the information provided within the question it can be said that in order to calculate the probability of both grapes being green we need to find the probability of each grape being green separately and then multiply those probabilities together
In the first choice, there are a total of 22 grapes (9+13), 9 of which are green. Therefore the probability of the first chosen grape being green is 
In the second choice,since we removed one grape there is now a total of 21 grapes (22-1), 8 of which are green. Therefore the probability of the second chosen grape being green is 
Now we multiply both probabilities together to calculate the probability that both grapes are green in a sequence.

Answer:
60 in
Step-by-step explanation:
Area = length x width
Area is constant at 1440 in^2
For first rectangle: W1 and L1
For second rectangle: W2 and L2
W1 = 32 in
W2 = W1 - 8 in = 24 in
1440 in^2 = L1 x 32 in = L2 x 24 in
L1 = 45 in
L2 = 60 in