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bearhunter [10]
3 years ago
15

Make 3 5/8 into an improper fraction

Mathematics
2 answers:
kiruha [24]3 years ago
8 0
The answer will be 29/8. Hope it help!
Andrews [41]3 years ago
3 0
Easy! What's 3*8? 24. Now add 24 to 5, which is 29. The answer is "29/8" you leave the denominator the same. (:
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Rewrite the product as a sum: 10cos(5x)sin(10x)
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Answer:

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Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

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sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

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