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Georgia [21]
2 years ago
6

Robert is inspecting a shipment of 22 inch pipes. The length of the pipes may vary by 1%. What is the range of allowable lengths

of the pipes?
Mathematics
1 answer:
Slav-nsk [51]2 years ago
3 0

Answer:

The allowable lengths of pipe is from 21.78 inch to 22.22 inch.

Step-by-step explanation:

The length of the each pipe in the shipment =  22 inch

The variation in the length of pipes  = 1%

⇒The allowable length of pipe in the inspection  = 22 inch ± 1%

Now, 1% of 22 = \frac{1}{100}  \times 22 = 0.22

So,  22 inch + 1% = 22 inch + 0.22 =  22.22 inch

and 22 inch -  1% = 22 inch - 0.22 =  21.78 inch

⇒ 22 inch ± 1%  =  22.22 inch and 21.78 inch

Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.

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<u>Given</u>:

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From the figure, it is obvious that the arcs XY and YZ are congruent.

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The measure of arc XYZ is given by

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The measure of arc XY is given by

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