Answer:
see explanation
Step-by-step explanation:
Given
2cosΘ - = 0 ( add to both sides )
2cosΘ = ( divide both sides by 2 )
cosΘ =
Since cosΘ > 0 then Θ is in first and fourth quadrants, hence
Θ = ( ) =
OR
Θ = 2π - =
solutions are Θ = ,
Excuse me ... where are the problems??!!
Answer:
63.57817848
Step-by-step explanation:
all will be in degrees:
cos 40 sinx - sin 40 cos x = sin(x - 40) by the formula sin(A − B) = sinA cosB − cosA sinB
sin(x - 40) = 2/5
x - 40 = arcsin(2/5)
x - 40 = 23.57817848
x = 63.57817848 degrees
Answer: you sold 10 adult tickets and 11 children tickets.
Step-by-step explanation:
Let x represent the number of adult tickets that you sold.
Let y represent the number of children tickets that you sold.
You sold a total of 21 tickets. This means that
x + y = 21
Admission prices are six dollars for adults and four dollars for children. You sell tickets for admission to your school play and collect a total of $104. This means that
6x + 4y = 104 - - - - - - - - - -1
Substituting x = 21 - y into equation 1, it becomes
6(21 - y) + 4y = 104
126 - 6y + 4y = 104
- 6y + 4y = 104 - 126
- 2y = - 22
y = - 22/ -2 = 11
Substituting y = 11 into x = 21 - y, it becomes
x = 21 - 11 = 10