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tankabanditka [31]
2 years ago
5

Solve for the missing side. 4) 12 mi X 15 mi

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
5 0
The equation is a^2 + b^2 = c^2 and the long slanted side is always c so
12 + b^2 = 15
So using the equation a^2 + b^2 = c^2 and the transverse property the answer is 1.732
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Archimedes calculated the volume of a sphere by comparing it to what solid? prism cylinder pyramid box
Stella [2.4K]
<h2>Answer:</h2>

cylinder

<h2>Step-by-step explanation:</h2>

Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres.  So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find?  </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:

V=\pi r^3-\frac{1}{3}\pi r^3 \\ \\ V=\frac{2}{3} \pi r^3

Then the volume of a sphere is twice this volume:

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

3 0
3 years ago
On Monday, Randy earned 12 points in his game.
Gnom [1K]

Answer:

[see below]

Step-by-step explanation:

Randy first won 12 points on Monday. He earned as twice as many on Tuesday.

12 * 2 = 24

Randy scored 24 points Tuesday.  

Randy earned 3 more points than Tuesday's points the next day.

24 + 3 = 27

Randy earned 27 points Wednesday.

12 + 24 + 27 = 63

Randy should earn a total of 63 points for the 3 days.

Hope this helps.

3 0
2 years ago
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rewona [7]

Answer:

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Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

8 0
3 years ago
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AURORKA [14]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

its A

Step-by-step explanation:

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2 years ago
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