Answer:
-sqrt(3)/2
Step-by-step explanation:
Use double angle identity for sin(2x)
sin(2x)=2sin(x)cos(x)
We are given sin(x)=-1/2 so we already have so far that:
sin(2x)=2(-1/2)cos(x)
sin(2x)=-1*cos(x)
We just need to find cos(x).
x is in the fourth quadrant so cosine will be positive there
knowing the unit circle we should know that if sin(x)=-1/2 then cos(x)=sqrt(3)/2 while in 4th quadrant.
So the answer is sin(2x)=-1*sqrt(3)/2=-sqrt(3)/2
Answer:
Step-by-step explanation:

Hence proved!
Answer:
$1.25 per pound
Step-by-step explanation:
$3.75/3 = 1 pound price
First we are gonna find the 3% of $3000 and take it from the $157.50.
3000 x 0.03 = $90
157.60 - 90 = $67.50
Then we are gonna find the amount that 4.5% of is equal to $67.50.
4.5/100=67.50/x (cross multiply)
4.5x = 67.50x100
4.5x = 6750 (divide both sides by 4.5)
4.5x/4.5 = 6750/4.5
x = 1500
Therefore the amount she earned in sales is $3000 + $1500 = $4500
Answer:
a. $56
b. $196
Step-by-step explanation:
a. Markup price
= 40% of 140
= 0.40*140
= $56
b. Selling Price
= $140 + $56
= $196