Answer:
A = number of adult tickets
S = number of student tickets
1033 = total tickets sold
A + S = 1033
5A = money collected for adult tickets
S = money collected for student tickets
2265 = total money collected
5A + S = 2265
two equations and two unknowns:
5A + S = 2265
A + S = 1033
subtract 2nd equation from 1st and solve for A:
4A = 1232
A = 308
Plug in value for A in 1st equation and solve for S:
A + S = 1033
308 + S = 1033
S = 725
its bella saves more per chore than sweet tea, because 3.5 x c = the amount of chores bella does. Add 11 to that, and she will get more than Sweet Tea. for Sweet tea, one chore saves her twelve dollars. For Bella, one chore saves her more.
The slope of line A is m= 1/3
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
