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eduard
2 years ago
14

Help me with this please

Mathematics
1 answer:
Mashcka [7]2 years ago
7 0
Answer-146

Add all the numbers and because 360 is how much a circle is equal to subtract 360 by 68 which is what you will get if you add the numbers up and after you will get 246 so just divide 246 by 2 and u get 146
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Answer:

OPTION A

OPTION B

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Irrational numbers are the subset of real numbers. Their decimal representation neither form a pattern nor terminate.

OPTION A: $ \sqrt{\frac{1}{2}} $

This is equal to $ \frac{1}{\sqrt{2}} $.

$ \sqrt{2} = 1.414... $ is non-terminating. So, it is an irrational number. Hence, the reciprocal of an irrational number would also be irrational. So, OPTION A is irrational.

OPTION B: $ \sqrt{\frac{1}{8}} $

This is equal to $ \frac{1}{2\sqrt{2}} $. Using the same logic as Option A, we regard OPTION B to be irrational as well.

OPTION C: $ \sqrt{\frac{1}{10}} $

This is equal to $ \frac{1}{\sqrt{5}\sqrt{2}} $.

Both $ \sqrt{5} $ and $ \sqrt{2} $ are irrational. So, the product and the reciprocal of the product is irrational as well. So, OPTION C is an irrational number.

OPTION D: $ \sqrt{\frac{1}{16}} $

16 is a perfect square and is a rational number. $ \frac{1}{\sqrt{16}} $ = $ \frac{1}{4} $. This is equal to 0.25, a terminating decimal. So, OPTION D is a rational number.

OPTION E: $ \sqrt{\frac{1}{4}} $

4 is a perfect square as well. $ \frac{1}{\sqrt{4}} = \frac{1}{2} = 0.5 $, a terminating decimal. So, OPTION E is a rational number.

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