15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2
Answer:-qx+p=r
Step-by-step explanation:
Answer:
5
Step-by-step explanation: 3x5=15
Answer:
C. 47°
Step-by-step explanation:
The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...
227° -180° = 47°
The reference angle is 47°.
_____
In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.
227° modulo 180° = 47°
180° -47° = 133° . . . . supplement of 47°
min(47°, 133°) = 47° . . . the reference angle
So
represent x for number of $14 movie tickets she got
y is number of $12 movie tickets
total of 9 tickets
x+y=9
total value is 114
14x+12y=114
we have
x+y=9
14x+12y=114
solve
multiply first equation by -12 and addd to oth equesiton
-12x-12y=-108
14x+12y=114 +
2x+0y=6
2x=6
divide 2
x=3
sub back
x+y=9
3+y=9
minus 3
y=6
3 of the $14 tickets
6 of the $12 tickets
