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bixtya [17]
2 years ago
15

Which number is irrational? A.0.3  B. C.0.777... D.0.454545…

Mathematics
1 answer:
Savatey [412]2 years ago
6 0
Each of A, C, and D are rational, so presumably B is the answer here.

A is rational, since 10\times0.3=3, so 0.3=\dfrac3{10}.

C is also rational. If x=0.777\ldots, then 10x=7.777\ldots. This would mean 10x-x=9x=7, and so x=\dfrac79.

D is rational by a similar argument. If x=0.4545\ldots, then 100x=45.4545\ldots. So, 100x-x=99x=45, which means x=\dfrac{45}{99}=\dfrac5{11}.
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stellarik [79]

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The complete question is attached below.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

2ab cos θ = a² + b² – c²

The triangle is shown below.

Then the value of the variable x will be

2 · 7 · 10 · cos x = 7² + 10² – 12²

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Then the correct option is C.

Learn more about law of cosines here:

brainly.com/question/17289163

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