Answer:
The radius of the pie is 6.17 in.
Step-by-step explanation:
The formula for arc length as a function of radius is
s = r·Ф, where Ф is the central angle in radians.
Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is
2π / 8, or π /4 (radians).
thus, s = r·Ф, solved for r, is r = s/Ф
and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:
r = 6.17 in
The radius of the pie is 6.17 in.
Answer:
Step-by-step explanation:
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
---> by addition segment postulate
we have

substitute

solve for x




step 2
Find the value of EF

substitute the value of x

step 3
Find the value of FG

substitute the value of x

Answer: The computer can solve 24,000 math problems in 2 minutes.
Step-by-step explanation:
1.) Multiply 1 * 200, in order to get the amount of problems solved in a second, which would be 200.
2.) Multiply 200 * 60 to get the amount of problems solved in a minute, which would be 12,000.
3.) Multiply 12,000 * 2 in order to get the amount of problems solved in 2 minutes, which would be 24,000.