Answer:
Step-by-step explanation:
cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)
[cos (-x)=cos x]
sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)
=sin {-(α+β)}
=-sin (α+β)
In order to isolate k, we would first cross multiply
3*k=9*10
3k=90
Then to isolate k, we would divide both sides by 3 to get:
K=30
Hope this helps
Prime numbers basically numbers that dont have any numbers that will be multiplied to get to it. So, it would be:
23
-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
All the other numbers in between can be divided by something and not become a decimal. Other than 23, it can be divided by anything without becoming a decimal.
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<em>~Hope this helped :)</em>
The number of visits Liam can make to earn his first free movie ticket is: 8.4.
<h3>
Number of visits Liam can make</h3>
Let x represent the number of visits
Formula
55+12.5×x=160
Re-arrange
12.5x=160-55
12.5x=105
Divide both side by 12.5x
x=105/12.5
x=8.4 visits
Therefore the number of visits Liam can make to earn his first free movie ticket is: 8.4.
Learn more about Number of visits Liam can make here:brainly.com/question/18350673
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Answer:
answer is A. cosine
Step-by-step explanation: