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liq [111]
4 years ago
13

Need help with dilation with a scale factor of 1/2 centered at (−1, 3)

Mathematics
1 answer:
Studentka2010 [4]4 years ago
4 0

A scale factor of 1/2 makes the triangle half the size of the original.


The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.

It is 6 units long, so 1/2 would be 3 units long.


Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:


Midpoint ( -1-5/2 , 3+7/2)

Midpoint = (-6/2 , 10/2)

Midpoint = -3,5


This is where the top left corner of the scaled triangle would be.


See attached picture:


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Answer:

total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

Step-by-step explanation:

The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.

volume of cylinder: (pi)(r^2)h

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total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3

We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.

total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3

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The approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%

<h3>How is the percentage of light remaining at a depth of 6 feet calculated?</h3>

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Therefore, the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%.

Learn more about percentage at: brainly.com/question/24304697

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