Let the three consecutive number be x,x+1 and x+2.
It is given sum of three consecutive numbers is 46.
So,x+x+1+x+2=46
3x+3=46.
Subtracting 3 both sides
3x=46-3
3x=43.
x= 
Since is not an integer there is no true answer to this problem.
The constant of proportionality (r) appears to be 3.
y = 3x . . . . . . . x = number of tickets sold; y = dollars collected
Answer:
√(2 + √3)/4
Step-by-step explanation:
Sine 5π/12 = Sine (5π/6)/2
Recall
π = 180°
Thus,
Sine (5π/6)/2 = Sine (5×180 /6)/2
= Sine 150/2
Recall
Sine θ/2 = √(1 – Cos θ)/2
Thus,
Sine 150/2 = √(1 – Cos 150)/2
But, Cosine is negative in the 2nd quadrant. Thus,
Cos 150 = – Cos 30 = –√3/2
Thus,
√(1 – Cos 150)/2 = √(1 – –√3/2 )/2
= √(1 + √3/2 )/2
= √[(2 + √3)/2 ÷ 2]
= √[(2 + √3)/2 × 1/2]
= √(2 + √3)/4
Therefore,
Sine 5π/12 = √(2 + √3)/4
Answer:
0/6 <--------------------------
