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Mamont248 [21]
3 years ago
10

Quadrilateral ABCD is inscribed in a circle.

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

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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
Vilka [71]

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)

6 0
3 years ago
Can someone help me find what to do
finlep [7]
An example would be:
Standard:12345678
Expanded: 10000000+2000000+300000+40000+5000+600+70+8
Word: twelve million three hundred forty-five thousand six hundred seventy-eight
5 0
3 years ago
Jerome has 1/4 of the group's video games at his house. Mario has 2/5 of the video games at his house. what fraction of the grou
serious [3.7K]

Answer: 13/20 of the video games at both of their houses.


Step-by-step explanation: The equation is 1/4 + 2/5. You need to find their common denominator which is 20, so the equation is now 5/20 + 8/20 = 13/20, which can't be simplified.


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Please solve this simultaneous equation
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Answer:

b6 2hich method

Step-by-step explanation:

I solv3 this

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6+2=8, right? Okay. Next, all you have to do is take away the equation "6+2". Now what you have is... 8x5. That's easy! 40. This is a very easy problem if you think about it.
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