Find the missing side. Round to the nearest tenth.

Mathematics

1 answer:

ziro4ka [17]4 years ago

5 0

Answer:

$x=7.2\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure

The tangent of angle of 67 degrees is equal to divide the opposite side to the angle of 67 degrees (17 units) by the adjacent side to angle of 67 degrees (x units)

$tan(67\°)=17/x$

Solve for x

$x=17/tan(67\°)$

$x=7.2\ units$

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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.