Given:
1st recipe
y = 16x + 560
where x is the number of teaspoons of sugar ; y is the total number of calories
2nd recipe
tsps of honey 1 2 4 7
total calories 504 568 696 888
There are 16 calories in a teaspoon of sugar.
There are 64 calories in a teaspoon of honey.
568-504 / 2 - 1 = 64/1
696-568 / 4 - 2 = 128/2 = 64
888-696 / 7 - 4 = 192/3 = 64
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
Answer:
I think it's D.145
Step-by-step explanation:
