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.
, where,
= Arc length,
= Radius,
= Central angle corresponding to arc length.
Upon substituting our given values in arc-length formula, we will get:




Therefore, the radius of the given circle would be 15 units.
Answer:
x = 4
Step-by-step explanation:
Using the rule of logarithms
x = n , then x = 
Given
(5 + 11x) = 2 , then
5 + 11x = 7² = 49 ( subtract 5 from both sides )
11x = 44 ( divide both sides by 11 )
x = 4
Answer:

Step-by-step explanation:
∠E = 1/2 (mCD - mAB)
<u>Where mCD = 110° and mAB = 30°</u>
∠E = 1/2 (110° - 30°)
∠E = 1/2 (80°)
∠E = 40°
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Hope this helped!
<h3>~AH1807</h3>
Answer:
-2v = (-2x3, -2x4) = (-6,-8)
8 friends share 3 cookies.
There are 3 cookies and 8 people.
We need to know how much cookie 1 friend gets.
1 friend gets 3/8 of a cookie.
There are 8 friends, so 8 x 3/8 = 3. The 8 friends will finish 3 cookies if they all have 3/8 of a cookie.
Each friend gets 3/8 of a cookie.