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3 years ago

I don't know how to work this problem out

Mathematics

1 answer:

madam [21]3 years ago

4 0

1/5(x-y) = 1
x+y = 9

x-y = 5 (x5)
x+y = 9

First you want to create both equations so at least one of the variables (x or y) are the same in both equations, so that is why I multiplied the top one by 5, you multiply the whole equation (both sides)

2x = 14
x = 7

Then you either Plus or minus one from the other, I plused the top one onto the bottom one, then solved for x

7 + y = 9
y = 2

Then put x back into one of the first two equations to get Y

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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

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Paladinen [302]

Answer: e

Step-by-step explanation:

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3 years ago

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In-s [12.5K]

Answer:

5,000

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3 years ago

The number of employees at a factory was increased by 5% from its original total of 1080 workers. What was the new number of emp

Kamila [148]

Find out the number of 5% from its original total of 1080 workers.
1080×5%=54
Then,find the total of the employees.
1080+54=1134
So,the new number of employees is 1134.

8 0

3 years ago

Tom has 8 toys each toy weighs either 20 grams or 40 grams or 50 grams he has a diffrent number of toys (at least one) of each w

liberstina [14]

Answer:

110

Step-by-step explanation:

He said he had atleast 1 of each. Hope it helps.

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