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solmaris [256]
3 years ago
9

Tim has to read some books for school Tim read 1 books on Tuesday,

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0

Answer:

2 books

Step-by-step explanation:

1+1=2

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Rewrite the product as a sum: 10cos(5x)sin(10x)
mote1985 [20]

Answer:

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

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

Thus applying same to sin(-5x)

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)]

8 0
3 years ago
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
Pavel [41]

Answer:

102

Step-by-step explanation:

408 words / 4 min = 102 words per min

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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For carolina's birthday her mom took her and her friends to a water park.Carolina mom paid 42.50 for 5 students tickets. What wa
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8.5 for each student ticket

Step-by-step explanation:

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42.5 / 5 = 8.5

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