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Anna35 [415]
3 years ago
13

Which rational number equals 0 point 2 with bar over 2? 1 over 10 1 over 9 2 over 10 2 over 9

Mathematics
1 answer:
Alja [10]3 years ago
4 0

Answer:

0.\bar2=\frac{2}{9}

Step-by-step explanation:

We want to find the rational number which is equal to 0.\bar2.

Let y=0.\bar2....eqn(1)

Multiply both sides by 10

10y=2.\bar2.....eqn (2)

Subtract eqn (1) from eqn (2)

10y-y=2.\bar2-0.\bar2

\implies 9y=2

Divide both sides by 9.

\implies y=\frac{2}{9}

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B) Same as above:

\sqrt{11} + 3\sqrt{11} = (1 + 3)\sqrt{11} = 4\sqrt{11}

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Answer:

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Step-by-step explanation:

The volume of a sphere is denoted by: V=\frac{4}{3} \pi r^3, where r is the radius, while the volume of a cylinder is denoted by: V=\pi r^2h, where r is the radius and h is the height.

Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:

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Now plug this into the volume of a sphere formula:

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