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3 years ago

What is the resulting equation when the expression for y in the second equation is substituted into the first equation?

Mathematics

1 answer:

alexira [117]3 years ago

3 0

The answer is B

Hope I helped

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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

4 0

3 years ago

Find the mean of the data set if necessary round to the nearest tenth 16, 12, 8, 22, 25, 8

Taya2010 [7]

15.2

16 + 12 + 8 + 22 + 25 + 8 = 91 / 6 = 15.16 = 15.2

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3 years ago

The following tape diagram describes the relationship between the amount of red paint and the amount of blue paint in a "Plummy

Triss [41]

Answer:

Step-by-step explanation:

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3 years ago

I need help my grade depends on your answer!!

Fynjy0 [20]

Answer:

Angle 4 and Angle 5 are congruent.

Step-by-step explanation:

5 0

3 years ago

A sidewalk forms the diagonal of a square park. The sidewalk is 30 meters long. To the nearest tenth of a meter, how long are th

PtichkaEL [24]

<span> <span>We can use the Pythagorean Theorem (A² + B² = C²) to solve for the lengths of the sides. We know that the diagonal, C, is 30 meters long, so C² = 900 meters. We know that since the park is square, A² + B² = 2A² = 2B²

900 = 2A²

A^2 = 450

Taking the square root of 450, we find that the lengths of A and B are roughly 21.2 meters.</span> </span>

8 0

3 years ago

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