Answer:A fine of $0.75 is paid if the book returned by the due date.
No fine is paid if the book is returned 1 day after the due date.
A fine of $0.75 is paid if the book is returned 1 day after the due date.
Bit by bit clarification:
A fine of $0.75 is paid if the book returned by the due date.
No fine is paid if the book is returned 1 day after the due date.
A fine of $0.75 is paid if the book is returned 1 day after the due date.
V≈226.19ft³
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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:
I would rename the trapezoid. I would rename it a semi-hexagon, because it is basically half of a hexagon.
Answer:
W= -2
Step-by-step explanation:
