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:
-4(2k + 3)
Step-by-step explanation:
Factoring is just dividing the whole thing by that
So -8k - 12 becomes -4(2k + 3)
What you need to do is subtract 2 hours and 48 minutes from 4 hours and 25 minutes. Each hour is 60 minutes. 2 hrs and 48 min is 168 minutes, and 4 hrs and 25 min is 265 minutes. 265 subtract 168 is 97. That means the kids spent 1 hour and 37 minutes at the pool in the afternoon.
Can you please provide us with english translation..
thanx
Step-by-step explanation:
Cot t = Cos t / Sin t
Hope it helps
