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3 years ago

Round to the nearest ten-thousand 568,135

Mathematics

1 answer:

DIA [1.3K]3 years ago

6 0

Answer:

Step-by-step explanation:

570000 to the nearest ten thousand

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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

Need help on these 2

Ostrovityanka [42]

Answer:5. the average is 2 million for football which is not much compared to basketball and football because the average is 8.2 million for basketball and 4.17 million for baseball

Step-by-step explanation:

5 0

3 years ago

Please help 16 points

Murljashka [212]

16 because 36 divided by 9 is 4 so you have to multiply the 4 x 4

4 0

3 years ago

Read 2 more answers

What is the place value of 2 in the number 34277

rjkz [21]

Answer:

Hundreds

Step-by-step explanation:

Refer to the underlined numbers:

3427<u>7</u> - 7 is in the ones place

342<u>7</u>7 - The second 7 is in the tens place

34<u>2</u>77 - 2 is in the hundreds place

3<u>4</u>277 - 4 is in the thousands place

<u>3</u>4277 - 3 is in the ten thousands place

3 0

3 years ago

Read 2 more answers

Solving special systems<br> {y=1/2x+4<br> {-1/2x+y=-5

ryzh [129]

Answer:

no solution

Step-by-step explanation:

Given the 2 equations

y = $\frac{1}{2}$ x + 4 → (1)

- $\frac{1}{2}$ x + y = - 5 → (2)

Substitute y = $\frac{1}{2}$ x + 4 into (2)

- $\frac{1}{2}$ x + $\frac{1}{2}$ x + 4 = - 5 , that is

4 = - 5 ← not possible

This indicates the system has no solution

7 0

3 years ago