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.
12 times 4 minus 3 because the 12 represents how much is in each of the 4 cases and you minus that by 3 and you get your answer
Answer:
b = 40
Step-by-step explanation:
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.
This situation can be described by an equation of the form y=mx+b , where
x = the time in hours
y = the cost in dollars.
What is the value of b in this equation?
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair
Writing the above in an equation =
y = $70 × x + $40
y = 70x + 40
Therefore, the value of b in the expression = 40
You set (x+15) equal to 40 and solve for x.
x+15=40
-15 -15
x=25
Hope this helps!