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.
If you would like to know Johnathan's average speed in miles per hour, you can calculate this using the following steps:
3 2/3 = 11/3 miles ... 7/8 hour
x miles = ? ... 1 hour
11/3 * 1 = 7/8 * x
11/3 = 7/8 * x
x = 11/3 * 8/7
x = 88/21
x = 4 4/21 miles
The correct result would be 4 4/21 miles per hour.
The answer is 88 hope that helped
Answer:
RC = 40
Step-by-step explanation:
Note that the circumcentre is equally distant from the triangle's 3 vertices.
That is : PC = RC = QC
Equate any pair and solve for x
Using RC = PC, then
5x - 15 = 3x + 7 ( subtract 3x from both sides )
2x - 15 = 7 ( add 15 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Hence
RC = (5 × 11) - 15 = 55 - 15 = 40 units
