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yaroslaw [1]
3 years ago
7

2/sqrt(10) simplified

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

20qrt/s        / as in over

Step-by-step explanation:

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What would be the volume of (a) air (b) plastic in a ball with 25cm diameter made from plastic 2mm thick?
morpeh [17]

Answer:

Part a) The volume of the air is V=7,794.78\ cm^{3}

Part b) The volume of the plastic is V=386.45\ cm^{3}

Step-by-step explanation:

we know that

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

step 1

Find the volume of the complete ball (air +plastic)

we have

r=25/2=12.5\ cm ------> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (12.5)^{3}

V=8,181.23\ cm^{3}

step 2

Find the volume of the air

we have that

The plastic is 2 mm thick

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2 mm=2/10=0.2 cm

so

The radius of the interior of the ball is

r=12.5-0.2=12.3\ cm

substitute

V=\frac{4}{3}\pi (12.3)^{3}

V=7,794.78\ cm^{3} -----> this is the volume of the air (interior of the ball)

step 3

Find the volume of the plastic

we know that

The volume of the plastic is equal to the volume of the complete ball minus the volume of the air

so

8,181.23\ cm^{3}-7,794.78\ cm^{3}=386.45\ cm^{3}

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Identify the linear function graph
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Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic
lubasha [3.4K]

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x   ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = \frac{5}{13}× Total books

⇒Hardback books = \frac{5}{13}× 13x = 5x

So, Paperback books = Total books - Hardback books

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⇒Total Paperback books = 8x

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