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Angelina_Jolie [31]
3 years ago
5

A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh , where B represents th

e area of the base of the cylinder. Which expression can be used to find the value of B, in square inches, for this cylinder?
A) π(8.3)2

B) 2π(8.3)

C) π(11.1)2

D) 2π(11.1)

Mathematics
2 answers:
qaws [65]3 years ago
8 0

Answer:

Step-by-step explanation:

To break down the volume even more, the base of a cylinder is pi(r)^2

Instead of V=Bh use V=pi(r)^2h (it's broken down more so it's easier to understand)

So just plug in the values to make B:

B=pi(r)^2

B= pi(8.3)^2

zhuklara [117]3 years ago
8 0
I think the answer is A
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Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

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Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

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(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

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Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

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$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

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1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

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