What's the circumference of a circle with a radius of 7 in? round your answer to the nearest inch

1 answer:

4 0

It would be 44 in. The reason being the equation to find circumference is:
$2\pi r$
You use 3.14 for pi and the radius is 7.
$2 \times 3.14 \times 7 = 43.96$
43.96 rounded to the nearest inch is 44.

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Someone help me integrate this please >_

NISA [10]

∫( (sinx) / (2 - 3cosx)) dx.

From laws of integration: ∫ f¹(u) / f(u) du = In(f(u)) + constant.

d/dx (2 - 3cosx) = 0 -3(-sinx) = 3sinx.

1/3d/dx(2 - 3cosx) = (1/3)*3sinx = sinx.

∫ ((sinx) / (2 - 3cosx)) dx. = ∫ ((1/3) d/dx (2 - 3cosx) / (2 - 3cosx))dx

= 1/3 ∫ (d/dx (2 - 3cosx) / (2 - 3cosx))dx

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5 0

4 years ago

Is √6/8. rational or irrational?

Ipatiy [6.2K]

<h2>Answer:</h2>

The number is irrational.

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

<h3>1. Convert to decimal.</h3>

$\sqrt{\frac{6}{8} } =\sqrt{0.75} =0.8660254038...$

<h3>2. Conclude.</h3>

Since this number shows to have infinite decimal figures, it cannot be represented as the ratio of 2 integers. Hence, the number is irrational.

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Note. In case the number expressed in the question was $\frac{\sqrt{6} }{8}$ , the answer would still be irrational, for the same reasons explained above.