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stepan [7]
3 years ago
10

16cm/min equals how many meters in one hour

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0
16cm x 60 would give you the centimeters per hour 
16 x 60 = 960cm
             = 9.6m

(There are 60 minutes in an hour which is how i got that number)
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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.
Ber [7]

Answer:

Part 1) The volume of the object is 32\pi\ cm^{3}  or 100.48\ cm^{3}

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1)  What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=3\ cm

substitute the values

V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=(10-3)=7\ cm

substitute the values

V=\pi (2^{2})(7)=28\pi\ cm^{3}

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3} ------> exact value

Find the approximate value of the volume

assume

\pi=3.14

32(3.14)=100.48\ cm^{3}

7 0
3 years ago
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The wading pool shown is a trapezoidal prism with a total volume of 286 cubic feet. What is the missing dimension? First base: 8
harkovskaia [24]
To find the missing dimension you will use the formula for finding the volume of a prism and solve for the missing dimension.  In this case 2ft is how deep the pool is and you will solve for the width of the pool.

V = Bh, where B is the area of the base.  In this case, use the area of a trapezoid formula.

286 = 1/2h(8 +13)2
<u>286</u> = <u>21h</u>
21      21
h = 13.6

The width of the wading pool is approximately 13.6 feet.
5 0
3 years ago
For what value of x must ABCD be a​ parallelogram?
bija089 [108]

5x = 6x-7

subtract 6x from each side

-x=-7

x=7


8 0
3 years ago
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Write 3 numbers that make this inequality true: x&gt;4​
Trava [24]

Answer:

8, 10, 24

(Basically every number above 4)

5 0
3 years ago
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What is an equation of the line that passes through the points (-4, -5) and<br> (-8, -2)?
nikklg [1K]

Solution:

<u>Step-1: Find the slope of the line.</u>

Formula of slope: y₂ - y₁/x₂ - x₁

  • y₂ - y₁/x₂ - x₁ = Slope
  • => -2 - (-5)/-8 - (-4) = Slope
  • => -2 + 5/-8 + 4 = Slope
  • => 3/-4 = Slope

<u>Step-2: Use the point slope formula to determine the slope.</u>

Point slope form formula: y - y₁ = m(x - x₁)

  • y - y₁ = m(x - x₁) = Equation of line
  • => y - (-5) = -3/4{x - (-4)} = Equation of line
  • => y + 5 = -3/4{x + 4} = Equation of line
  • => y + 5 = -3x/4 - 3 = Equation of line
  • => y = -3x/4 - 8 = Equation of line

The equation of the line is <u>y = -3x/4 - 8.</u>

7 0
2 years ago
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