The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer: 900
Step-by-step explanation:
About $0.75 per person.
First, let’s find the cost for each portion of hamburger meat and the cost for each bun.
We can do this for the meat by doing 1.49/4 to get 0.3725.
Now we can do the same with the buns by doing 2.99/8 to get 0.37375.
Now just add these together. 0.3725+0.37375 is 0.74625, which can be rounded to $0.75.
The cost per person is approximately $0.75.
Please consider marking this answer as Brainliest to help me advance.
Car A traveled 55 miles per hour. Now, how I got this is with the distance= rate *time equation. You can send me a message if you need a more detailed explanation. Hope this helped.
