Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
It is C I believe have a great day
Answer: 1mi/5280
Step-by-step explanation: I dunno how to explain this. Its really easy. Always have the converting unit on the denominator
Answer:
x = 12
Step-by-step explanation:
Given
3x + x = 2x + 24, that is
4x = 2x + 24 ( subtract 2x from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
