Find two angles that satisfy each equation.
9. sin(4x +30)° = cos(-2x + 54)"

11. cos(5x + 49) = sin(3x + 57)

13. sin(2x + 30)° = cos(3x + 5)

15. cos(3x - 10) = sin(3x - 20°

10. sin(-2x +92)° = cos(x+8)°

12. cos( - 3x + 106)° = sin(7x - 64)

14.
sin(5x - 12) = cos(x + 54)

16. cos(7x - 68)° = sin(-3x + 110)

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

$75.00

step-by-step explanation:

i = prt

i = 1,5000 * 0.025 * 2

i = 75

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages