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aleksley [76]
3 years ago
11

The length of a rectangle is twice it’s width if the perimeter of the rectangle is 54 cm

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Width = 9cm

Length = 18cm

<u>Explanation:</u>

Let width = b,

So, length = 2b

Perimeter of rectangle = 2x(length + width)

According to the question,

54cm = 2X(2b + b)\\54cm = 2X(3b)\\27cm = 3b\\b = 9cm

Hence,

Width = 9cm

Length = 18cm

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We get our answer:

$0.19/ounce

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Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200
Virty [35]

Answer:

<em>work done is equal to 384279168 lb-ft</em>

<em></em>

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as \pi r^{2} h

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = 3.142* 7^{2}*200 = <em>30791.6 ft^3</em>

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = <em>1921395.84 lb</em>

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

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7 0
3 years ago
Need help with this question click to see
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Answer:

1) u > 4

2) 7 < u

3) u < 4

4) 7 > u

Step-by-step explanation:

1) subtract 6 - 2

2) add 3 + 4

3) subtract 4 on both sides (8-4)

4) subtract 9 - 2

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2 years ago
Gordon types 3,666 words in 47 minutes. Find the unit rate.
Ad libitum [116K]

Answer:

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Step-by-step explanation:

A unit rate is simply comparable to an average.  Given this, we can say the following:

Unit_Rate = 3666 Words / 47 minutes

Unit_Rate = 78 Words per minute

Cheers.

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3 years ago
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