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mina [271]
4 years ago
6

A cone's height is equal to the radius of its base. The area of its base is 1,386 square units. The approximate radius of the co

ne's base is____ units. The approximate volume of the cone is ____cubic units. Use . Pie= 22/7
Mathematics
1 answer:
maxonik [38]4 years ago
4 0

Answer:

  • 21 units
  • 9702 units³

Step-by-step explanation:

The area of the base is given by the formula ...

  A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

__

The volume is given by ...

  V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 . . . . cubic units

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Josh can paint a whole room in m hours while Kevin can paint a whole room in n hours. How many parts of the room can they paint
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<h3>Answer: (m+n)/(mn)</h3>

Work Shown:

Josh:

1 room = m hours

1/m room = 1 hour

Kevin:

1 room = n hours

1/n room = 1 hour

We see that the rates for Josh and Kevin are 1/m and 1/n respectively. This is the amount of a room they paint in one hour. Combine the fractions

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The expression (m+n)/(mn) represents how much of the room they get painted in 1 hour. This is if they work together and it assumes neither worker slows the other one down.

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A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
Svetlanka [38]

Answer:

12,345 tablets may be prepared from 1 kg of aspirin.

Step-by-step explanation:

The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.

Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.

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1 tablet - 0.000081kg

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0.000081x = 1

x = \frac{1}{0.000081}

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