Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
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.
Answer:
x ≤5
Step-by-step explanation:
There is a closed circle at 5 so that means equals
The line goes to the left so that means less than
x ≤5
The smallest common denominator is 30 in so
<span>9/10=27/30 and 5/6=25/30 are your answers ; ]</span>
Answer: It’s C, “x+12=30; x=18 students”
Step-by-step explanation:
If Mr. Wilson has 12 more students than Mr. Star, whatever Mr. Star has (x) plus 12, should equal 30. That would make x, or the amount of students Mr. Star has, 18. This answer is included in option C.
