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madreJ [45]
3 years ago
6

Savannah has a water bottle that is a rectangular prism. The bottle measures 7 centimeters by 5 centimeters by 18 centimeters an

d she filled it completely with water. Then, she drank 1 4 of the volume of water in her water bottle. How many cubic centimeters of water were left in the water bottle?
Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

472.5 cm^3

Step-by-step explanation:

Find the volume of the bottle

V = l*w*h

V = 7*5*18

V = 630 cm^3

She drank 1/4 of the water, so there is 3/4 of the water left

3/4 * 630

472.5 cm^3

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46 + 48 + 3 = 97

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Bess [88]

Please see the explanation of this question to see procedure for the dilation of the triangle ABC and the image attached below to know the result.

<h3>How to generated a resulting triangle by transformation rules</h3>

In this question we must apply a kind of <em>rigid</em> transformation known as dilation. A dilation of a point around a point of reference is defined by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]     (1)

Where:

  • O(x, y) - Point of reference
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Let assume that the point P is the origin of a <em>rectangular</em> system of coordinates. Then, the coordinates of the three vertices of the triangle ABC respect to the origin are: A(x, y) = (- 1, 2), B(x, y) = (- 1, - 1), C(x, y) = (2, 0).

Then, the vertices of the resulting triangle A'B'C' are, respectively:

A'(x, y) = (0, 0) + 3 · [(- 1, 2) - (0, 0)]

A'(x, y) = (- 3, 6)

B'(x, y) = (0, 0) + 3 · [(- 1, - 1) - (0, 0)]

B'(x, y) = (- 3, - 3)

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Finally, we draw the resulting triangle with the help of a graphing tool.

To learn more on dilations: brainly.com/question/13176891

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2 years ago
Which equation represents the Pythagorean Theorem
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Answer:

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Step-by-step explanation:

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4 years ago
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Murljashka [212]

Answer:

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