Answer:
(a) |s - x| ≤ 3/16
(b) 4 15/16 ≤ x ≤ 5 5/16
Step-by-step explanation:
(a) The absolute value of the difference from spec must be no greater than than the allowed tolerance:
|s - x| ≤ 3/16
__
(b) Put 5 1/8 for s in the above equation and solve.
|5 1/8 - x| ≤ 3/16
-3/16 ≤ 5 1/8 -x ≤ 3/16
3/16 ≥ x -5 1/8 ≥ -3/16 . . . . multiply by -1 to get positive x
5 5/16 ≥ x ≥ 4 15/16 . . . . . . add 5 1/8
Pieces may be between 4 15/16 and 5 5/16 inches in length.
<span>120 degs --> 1/3 of the circumference :) hope i helped!</span>
Answer:
477.47 revolutions
Step-by-step explanation:
From the information given:
The formula for calculating the circumference = 2π r
Given that the radius of each wheel = 25 centimeter
Then, the circumference = 2 π (25)
= 50π cm
The distance traveled in 5 minutes is as follows:
Given that:
The speed = 45 km/ hour
i.e.
1 hour = 45 km
In an hour, we have 60 minutes
So, 60 minutes = 45 km
1 minute = 45/60 = 0.75 km
To cm;
0.75 km = (0.75 × 1000) m = 750 m
750 m = 750 × 100 = 75,000 cm
∴
The number of revolution in 5 minutes sInce 1 revolution = 50π cm is:
= 75,000 cm/ 50π cm
= 477.47 revolutions in 5 minutes
