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ASHA 777 [7]
3 years ago
8

You create 15 centerpieces for a party in 5 hours.

Mathematics
1 answer:
barxatty [35]3 years ago
7 0
A) 3 centerpieces per hour because 15/5 = 3
b) 14 hours, because 3 goes into 42 14 times exactly.
Hope this helps!
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What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A
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Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

L = 2\pi r \left(\dfrac{n}{360}\right)

here,

n = degrees

r = radius

using this we'll solve all the parts:

r = 10, n = 20:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (10) \left(\dfrac{20}{360}\right)

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

L = \pi (10) \left(\dfrac{20}{180}\right)

10 and 180 can be resolved: 180 divided by 10 = 18

L = \pi \left(\dfrac{20}{18}\right)

finally, both 20 and 18 are multiples of 2 and can be resolved:

L = \pi \left(\dfrac{10}{9}\right)

L = \dfrac{10\pi}{9} Option (E)

r=3, n=6:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (3) \left(\dfrac{6}{360}\right)

L = \dfrac{\pi}{10} Option (D)

r=4 n=7

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (4) \left(\dfrac{7}{360}\right)

L = \dfrac{7\pi}{45} Option (C)

r=2 n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (2) \left(\dfrac{x}{360}\right)

L = \dfrac{x\pi}{90} Option (D)

r=y n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (y) \left(\dfrac{x}{360}\right)

L = \dfrac{xy\pi}{180} Option (E)

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