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.
1 gallon = 4 quarts
1 quart = 32 ounces, 1 quart = 32 ounces*1 glass/8 ounces = 4 glasses
1 quart = 4 glasses
1 gallon = 4 quarts = 16 glasses
If Sam drinks 4 glasses per day. and he has 16 glasses, then 16/4 = 4 days
Answer is 4 days.
The model suggests the equation 3x-4 = 6-2x and the solution is x = 2.
What is equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
According to question,
there are 3 bars for x and 2 bars for -x so it shows
The equation becomes :
3x - 4 = 6-2x
5x = 10
x =2
Hence the solution to this equation is 2.
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