Use the the double angle formula:
sin(2A)=2sin(A)cos(A)
substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)
Answer: 200 adult tickets and 400 student tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $850, the expression would be
1.75x + 1.25y = 850- - - - - - - - - -1
Suppose there are twice as many student tickets sold as adult tickets. This is expressed as
y = 2x
Substituting y = 2x into equation 1, it becomes
1.75x + 1.25 × 2x = 850
1.75x + 2.5x = 850
4.25x = 850
x = 850/4.25
x = 200
y = 2x = 2 × 200
y = 400
Answer: quit
Step-by-step explanation:
Answer:
33.33%
Step-by-step explanation:
The line of best fit for the data is represented by the equation y = 3x + 15.
At x = 4,
y = 3(4) + 15 = 27
At x = 7,
y = 3(7) + 15 = 36
We need to find the percent change in the total number of trees from x = 4 to x = 7.
So,

So, the required percentage change is equal to 33.33%.