Answer:
Step-by-step explanation:
We are to show that 
<u>Proof:</u>
From trigonometry identity;


From trigonometry, 2sinAcosA = Sin2A

Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;

= 
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
To find the percentage increase we use the formula
<h3>

</h3>
From the question
The original value = 12
To find the change we subtract the smaller value from the larger one
That's
Change = 20 - 12 = 8
So the percentage increase is
<h3>

</h3>
We have the final answer as
to the nearest whole number
Hope this helps you
Answer:
Roberta earns $164.4 on an 8 hr shift.
Step-by-step explanation:
In one hour Roberta makes $9
So if she works for 8 hours she will be making
=> ( 9 X 8)$
=>72$
Also she earns a commission of 10.5% on selling a jewellery worth $880
So 10.5% of 880 is
=> 
=> 
=> 92.4
Hence Roberta will be earning a total amount of
(72+ 92.4)
=>$164.4