The answer is 20 because you plug in x=2 into f(x)

Sin = opposite/hypothenuse
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse
12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20
You know hypothenuse is 20
Opposite/hypothenuse
Solution: 16/20
Simplify if you need to (4/5)
housing: 900/4500 = 0.2 = 20%
transportation: 650 / 4500 = 0.14 = 14%
utilities: 120/4500 = 0.026 = 2.6% ( round to 3% maybe)
food: 475/4500 = 0.105 = 10.5% (round to 11% maybe)
savings: 1600 / 4500 = 0.355 = 35.5% (round to 36% maybe)
Student Loan: 270 / 4500 = 0.06 = 6%
Other expenses: 485 / 4500 = 0.107 = 10.7% (round to 11% maybe)
You didn't say if they needed to be rounded so I gave you the options on the ones that may need it.
The length of the arc is 1.06m. hope that helps!
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:

Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:

We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb