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defon
3 years ago
15

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce

ntered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12 radians?
Mathematics
1 answer:
Scilla [17]3 years ago
3 0
Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).

The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.

For the y-value, we can write and solve:
sin75 = x/20

For the x-value, we can write and solve:
cos75 = x/20
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Eight thousand six and thirty-four thousandths<br> * Write as a decimal
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Answer:

8,006.034

Step-by-step explanation:

eight thousand six = 8,006

and = .

thirty-four thousandths = .034

5 0
3 years ago
If the width of a rectangle is 3 yards less than it’s length and the perimeter is 130 yards, what is the length and the width.
Marianna [84]

Answer: P=130

2W +2L=130

2(31) + 2(34)=130

W=31

L=34

Step-by-step explanation:

P=130

2L + 2W

W=L-3

Add all of the sides together to get perimeter.

2(L-3) + 2L=130

2L-6+2L=130

4L-6+6=130+6

4L=136

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L=34

W=L-3

W=34-3

W=31



6 0
3 years ago
Thirty-two cyclists make a seven-day trip. Each cyclist requires 8.33 kilograms of food for the entire trip. If each cyclist wan
kvasek [131]

Answer:

76.16 kilograms of food

Step-by-step explanation:

Number of cyclist = 32

Food per cyclist = 8.33 kilograms

Days of the trip = 7 days

Food per cyclist per day = 8.33 kg / 7

= 1.19kg food per day for each cyclist

how many kilograms of food will the group be carrying at the end of Day 5?

5 days out of 7 days = 2 days

Each cyclist will have to carry = 2 × 1.19 kg of food for the remaining two days

= 2 × 1.19

= 2.38 kilograms of food for two days

32 cyclist for 2 days = 32 × 2.38 kg of food

= 76.16 kilograms of food

The group will be carrying 76.16 kilograms of food at the end of Day 5

3 0
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Which inequality is true? Use the number line to help.
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Answer:

C) -1.5 < -0.5

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The clock has a diameter of 22 inches. What is the circumference of the clock?
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