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.
Answer:
25.2
Step-by-step explanation:
6/5 is 1.2, so it takes 1.2 minutes to run one lap.
This means 21 x 1.2 = the minutes it takes to run 21 laps around the track.
Therefore it takes 25.2 minutes to run around the track 21 times.
Answer:

Step-by-step explanation:
To make this a bit easier to see, we'll expand that expression.
R to the 9th is just r times itself 9 times. R to the third is r times itself 3 times.
(excuse my bad formatting)
<u>The expression:</u>
<u>r • r • r • r • r • r • r • r • r • 1</u>
r • r • r • 1
Remember, anything and everything has a coefficient or denominator of 1.
So, we can cancel 3 r's from the numerator and denominator.
<u>r • r • r • r • r • r • 1</u>
1
Simplify....

That just equals
.
Answer:
<h2>The segment FE is a tangent of the sphere.</h2>
Step-by-step explanation:
Obseve the sphere in the image attached.
Notice that point A is the center of the sphere. GD is the diameter, which means AG and AD are radius.
On the other hand, remember that a tangent is a line that intersects the figure at only one point, otherwise, it would be a secant.
Therefore, segment BC is a secant and segment FE is tangent.
So, the right answer is segment FE.
Answer:
x=10
Step-by-step explanation:
5/8x - 11/2 = 3/4
Multiply each side by 8 to clear the fractions
8(5/8x - 11/2 = 3/4)
5x - 44 = 6
Add 44 to each side
5x-44+4= 6+4
5x= 50
Divide by 5
5x/5 = 50/5
x =10