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.
Answer:
2 : 3
Step-by-step explanation:
Women are = 3/5
So, Men Must be = 2/5
Ratio of Men to Women:
=> 2/5 : 3/5
Multiplying both sides by 5
=> 2 : 3
Answer:
0.28
Step-by-step explanation:
0.28*100=28
Answer:
C
Step-by-step explanation:
First add the whole numbers (2+1=3)
Then add the fractions (5/6 + 2/6 = 7/6)
Make the fraction a mixed fraction (7/6 = 1 1/6)
Then put them together
The answer is 4 1/6
