Hey there! :)
Answer:
arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)
Step-by-step explanation:
Begin by finding the circumference of the circle. Use the formula:
C = 2rπ
C = 2(9)π
C = 18π.
Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

Cross multiply:
50 · 18π = 360x
900π = 360x
Divide both sides by 360:
x = 2.5π in, or ≈7.85 in.
Answer:
220 miles
Step-by-step explanation:
65 miles per hour for 2 hours — 65+ 65 = 130
60 miles per hour for 1.5 hours — 60 (for the 1 hour) + 30 (for the half hour) = 90
130 + 90 = 220
The formula is
R=I/pt
R interest rate?
I interest earned 150
P principle 2000
T time 3 years
R=150÷(2,000×3)
R=0.025 × 100
R=2.5%
Hope it helps!
Answer:
60
Step-by-step explanation:
<C+<D = 180 since they form a straight line
5x+20 +3x = 180
8x+20 = 180
Subtract 20 from each side
8x+20-20 = 180-20
8x = 160
Divide by 8
8x/8 = 160/8
x = 20
We want to find angle D
<D = 3x= 3*20 = 60
Answer:
O
Step-by-step explanation: