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
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You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
You would take the CUBED ROOT of 125 instead of the square root, this will help find your answer..
It’s 5, because 5^3 is 125
Answer:
Unique triangle.
Step-by-step explanation:
If you were to draw the triangle, you would've been able to see that one angle is open and that the other 2 were closed.
1week = 7days so
4weeks = 28 days
So 28 x 640 = 17920
1000grams = 1kg
17920 divide 1000 =17.92
Lee uses 17.92kg in those 4weeks
