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Iteru [2.4K]
3 years ago
5

Find the volume of the tank below. A. 63 m^3 B. 54 m^3 C. 78 m^3 D. 96 m^3

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

V = 62.832m^3 (Approximation to the nearest thousandth)

Step-by-step explanation:

The area of a cylinder can be determined by the formula:

V = \pi r^2h    (We know that the radius, r, is 2m, and the height, h, is 5m, so we can substitute them into the formula to calculate the volume of this cylindrical tank)

V = \pi * 2^2 * 5    (Simplify)

V = 20\pi

V = 62.832m^3 (Approximation to the nearest thousandth)

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Draw at least six different sized rectangles that have an area of 64 square units
olga_2 [115]

Let

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y------> the width of the rectangle

we know that

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A=x*y

A=64\ units^{2}

so

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let's assume different values of x to get the different values of y

<u>case 1)</u> For x=64 units

substitute in the equation 1

x*y=64

y=64/x

y=64/64

y=1\ units      

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

<u>case 2)</u> For x=32 units

substitute in the equation 1

x*y=64

y=64/x

y=64/32

y=2\ units

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

<u>case 3)</u> For x=16 units  

substitute in the equation 1

x*y=64

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y=64/16

y=4\ units

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

<u>case 4)</u> For x=30 units

substitute in the equation 1

x*y=64      

y=64/x

y=64/30

y=\frac{32}{15} =2\frac{2}{15} \ units

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

<u>case 5)</u> For x=40 units

substitute in the equation 1

x*y=64    

y=64/x

y=64/40

y=1.60\ units

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

<u>case 6)</u> For x=60 units

substitute in the equation 1

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3 0
3 years ago
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8 0
4 years ago
Factor by grouping: 4x3 - 6x2 + 10x - 15.
BlackZzzverrR [31]
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3 years ago
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AleksAgata [21]

Answer:

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Step-by-step explanation:

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interior angle = \frac{sum}{n} = \frac{2340}{15} = 156°

8 0
3 years ago
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