Answer:
$18,096 a year
Step-by-step explanation:
There are around 52 weeks in a year. You make $348 a week.
52 x 348 = $18,096
300÷60 = 5
5 hours of commercials was watched
Answer:
11/12
Step-by-step explanation:
(1 1/10)/(1 1/5) = 1.1/1.2 = 11/12
__
You can also work this using improper fractions:
(1 1/10)/(1 1/5) = (11/10)/(6/5) = 11/10×5/6 = (11×5)/(6×10)
= (11×5)/(6×2×5) = 11/(6×2) = 11/12
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.
24 laps
1 hour = 60 minutes
4/10 x 60 = 24
