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Andrews [41]
3 years ago
8

In a circle an arc length 10 is intercepted by a central angle of 2/3 radius

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.

We will use arc-length formula to solve our given problem.

l=r\theta, where,

l = Arc length,

r = Radius,

\theta = Central angle corresponding to arc length.

Upon substituting our given values in arc-length formula, we will get:

10=r\cdot \frac{2}{3}

10\cdot \frac{3}{2}=r\cdot \frac{2}{3}\cdot \frac{3}{2}

5\cdot \frac{3}{1}=r

15=r

Therefore, the radius of the given circle would be 15 units.

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3 years ago
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4 0
3 years ago
Your brother is 1/2 your age. Your sister is 5 years older than your brother. Your sister is 15 years old. Write and solve an eq
nydimaria [60]

Answer:

a=2(s-5)

a(your age): 20

Step-by-step explanation:

a stands for your age

s stands for sister

a=2(s-5)

1-substitute 15 for s a=2(15-5)

2- a=2(10)

the 15-5 stands for sisters age minus five which gives you brothers age, 10. You multiply it by two because your brother is half your age.

3-a=20

check your work:

because your brother is 10 and you are 20, he is half your age (10/20 can be simplified to 1/2)

Hope this helped, if you have any other questions please lmk!

3 0
3 years ago
please explain how you got the answer please i need to see how you got that answer!! umm please someone give me it quick
koban [17]

Answer:

y>-2

Step-by-step explanation:

her mistake was she did -22-6= -28 but the correct solution is -22+6= -16

7 0
2 years ago
Can y’all help me on question 20?!
denis23 [38]

Answer:

yes I can help you but ???

8 0
3 years ago
Read 2 more answers
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