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PilotLPTM [1.2K]
2 years ago
6

Can somebody teach me how to do this?

Mathematics
1 answer:
galina1969 [7]2 years ago
4 0

Ratios and fractions are interchangeable (for the most part). A fraction is a type of ratio. And we've all worked with fractions before, so that's what we'll do here.

I can say that the ratio 3:1 is the same as the fraction 3 / 1. Using that fraction, it is fairly easy to find equivalent fractions.

3 / 1 = 6 / 2 = 9 / 3 = 30 / 10

...And so on

Another example, 5:6 = 5 / 6.

5 / 6 = 10 / 12 = 15 / 18 = 30 / 36

To find equivalent fractions, all you need to do is multiply both the numerator and denominator by the same number. As long as that number is the same (and your multiplication is correct), then the new fraction will be equivalent to the original.

Hope this helps!

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Answer:

The first set is a set of linear equations.

The way to figure this out is pretty easy. If you want to see it visually, go search up desmos graphing calculator and put in these equations.

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The second set is not, because while the first equation is linear, the second is an inequality. While it is a straight line, it doesn't count as a linear equation.

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Using equivalent angles, the solutions to the equation are given as follows:

\theta = 255^\circ, \theta = 285^\circ

<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the equation is:

\sin{\theta} = -0.966

Applying the inverse relation:

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Which is on the third quadrant. The equivalent angle on the fourth quadrant is given as follows:

270^\circ + (270^\circ - 255^\circ) = 285^\circ

More can be learned about equivalent angles at brainly.com/question/28025397

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