630 red marbles
420 yellow marbles
210 purple marbles
because 1260 x 1/2 = 630, 1260 x 1/3 = 420, 1260 x 1/6 = 210
Answers:
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Explanation:
Recall that tangent is the ratio of opposite over adjacent
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
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So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A+B = 90 degrees
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Side note: The side sqrt(5) isn't used at all.
<span>The answer is 60.
Explanation<span>:
In mathematics, the word "of" indicates multiply. This means we would multiply 2/3 * 90.
We can write 90 as a fraction by putting it over 1, which gives us 2/3(90/1).
To multiply fractions, we multiply straight across: (2*90)/(3*1) = 180/3 = 60.</span></span>
