Please help 2 7/12= ¼x

Mathematics

2 answers:

Anton [14]3 years ago

5 0

Answer:

Exact form: x=31/3

Decimal Form: x=10.¯ 3

Mixed Number Form: x=10 1/3

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Radda [10]3 years ago

5 0

10 1/3 that is the answer

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Answer:

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Step-by-step explanation:

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3 years ago

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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:

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