Imagine the path of the tip of the pendulum as an arc of a circle. The circle would have a radius of 4 feet and the arc would be 20 degrees. To calculate the length of the arc, you need to find 20 degrees of the circumference.
Length of Arc = 2*pi*R*Degree of arc/360
Length of Arc = 2*pi*4*20/360
Length of Arc = 8pi * 1/18
Length of Arc = 4/9 pi feet
<span>Length of Arc ~ 1.396263402 feet
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Answer:
2 additional premium channels
Step-by-step explanation:
Using the given function, we substitute c(x) = 114 and solve for x:
114 =90 + 12x
Subtract 90 from both sides:
24=12x
Divide both sides by 12:
2=x
So you have ordered 2 additional premium channels.
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Answer:
x = 7
3x + 11 = 32
8x + 2 = 58
Step-by-step explanation:
3x + 11 + 8x + 2 = 90
11x + 13 = 90
11x = 77
x = 7
3x + 11 = 3(7) + 11 = 32
8x + 2 = 8(7) + 2 = 58
Answer:
6 1/2 cubic feet
Step-by-step explanation:
A carton has a length of 2 1/6 feet
The width is 1 1/5 feet
The height is 2 1/2 feet
Therefore the volume of the carton can be calculated as follows
= length × width × height
= 2 1/6 × 1 1/5 × 2 1/2
= 13/6 × 6/5 × 5/2
= 390/60
= 13/2
= 6 1/2 cubic feet
Hence the volume of the carton is 6 1/2 cubic feet
