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Reika [66]
3 years ago
12

Find the area and perimeter

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

Part 1) The perimeter is P=172\pi\ ft

Part 2) The area is A=1,204\pi\ ft^2

Step-by-step explanation:

Part 1) Find the perimeter

we know that

The perimeter is equal to the circumference of the exterior circle plus the circumference of the interior circle

so

P=2\pi (50)+2\pi (36)

P=2\pi (86)\\P=172\pi\ ft

Part 2) Find the area

we know that

The area of the figure is equal to the area of the larger circle minus the area of the smaller circle

so

A=\pi (50)^2-\pi (36)^2

A=\pi (1,204)

A=1,204\pi\ ft^2

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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

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<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
What is n/2=−7? Thanks!
Rudik [331]
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3 years ago
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A washer and a dryer coat $774 combined. The washer costs $74 more than the dryer. what is the cat of the dryer?
zhenek [66]

Answer:

$350

Step-by-step explanation:

Cost of both combined $774 washer is $74 more than the dryer.

$774-$74=$700

$700/2=$350

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When is the reciprocal of a fraction a whole number? Plz explain
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The reciprocal of a fraction is only a whole number when
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Any other time, the reciprocal of the fraction is another fraction.
(It'll be an improper fraction, and can be written as a mixed number.)


The reciprocal of a fraction is just the same fraction
turned upside down.

-- The reciprocal of  1/5  is  5/1  or just  5 .
   (Original numerator is ' 1 '.)

-- The reciprocal of  5/25  is  25/5  or just  5 .
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--  The reciprocal of  5/7  is  7/5 , or  1 and 2/5 . 

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A sweatshirt is discounted 30%. If the discount is $9, what was the original price of the sweatshirt? Please show your work.
ArbitrLikvidat [17]

Answer:

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Step-by-step explanation:

Let the price of sweatshirt be $x.

Discount percentage = 30%

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Given that discount in $ is 9

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6 0
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