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Mnenie [13.5K]
3 years ago
14

How do you get the answer for this dilation problem?

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0
Dilate by 1/4 divide all the points 
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A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 21 inches. The scoop is used to transfer molten st
eduard

Answer:

31.5 in

Step-by-step explanation:

  • Volume of a hemisphere = (2/3)\pir³
    (where r is the radius)
  • Volume of a cylinder = \pir²h
    (where r is the radius and h is the height)
  • radius r = (1/2) diameter

First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:

Volume = (2/3)\pi x 21³ = 6174\pi in³

Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:

                                            \pi14²h = 6174\pi

                                            196\pih = 6174\pi

 Divide both sides by \pi:        196h = 6174

Divide both sides by 196:          h = 31.5

Therefore, the height of the molten steel in the storage tank is 31.5 in

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2 years ago
Is 7.0 a rational or a whole
anyanavicka [17]
Whole number because 7 is in front of the deciaml point
4 0
3 years ago
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Can someone please help me?
Lostsunrise [7]

Answer:

The angle between the two sides of the right triangle is aproximately 31.003º.

Step-by-step explanation:

From image attached on question we infer that we need to find the angle between sides of lengths 6 (adjacent leg) and 7 (hypotenuse) in the right triangle. The angle can be found by means of this trigonometric ratio:

\cos \alpha = \frac{6}{7}

\alpha = \cos^{-1} \frac{6}{7}

\alpha \approx 31.003^{\circ}

The angle between the two sides of the right triangle is aproximately 31.003º.

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Help please someone please
suter [353]

Answer:

C' will be located at (-4,-2)

Step-by-step explanation:

6 0
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Find the absolute maximum and minimum values of f(x.y)=x^2+y^2-2x-2y on the closed region bounded by the triangle with vertices
dem82 [27]

Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.

Answers are underlined with red colour.

6 0
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