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3 years ago

What is a 90-degree rotation on a graph.

1 answer:

4 0

Rotation of a point through 90-degree is about he origin in clockwise direction when point M(h,k) is rotated about the origin O through 90-degree in clockwise direction

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When translating a figure using a combination of two translations, is the resulting figure congruent to the original figure?

emmainna [20.7K]

It has to be the original figure but it is in a different spot on the graph

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3 years ago

What is the value of x in the equation x .0825x = 6.38

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X=8.79393730,-8.79393730

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3 years ago

1. if x० and 70० makes an angle of complement, find the value of x.

stich3 [128]

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don't spend our time here

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2 years ago

Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

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2 years ago

Li’s brother used the work shown to determine that he must grow at most 6 inches to be able to ride the roller coaster. Is this

miv72 [106K]

No, the work is correct, but the interpretation is not. “6 is less than or equal to h<span>” means that h is greater than or equal to 6. He must grow at least 6 inches, not at most 6 inches.</span>

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3 years ago

Read 2 more answers