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:
approx 84.82 cubic. ft
Step-by-step explanation:
volume of cylinder =

= 3.14 * (1.5)(1.5) * (12)
= 3.14 * 2.25 * 12
= 7.065 * 12
= approx 84.8 cubic. ft
Answer:
point S
Step-by-step explanation:
mooo! hope this helps
Answer:
y + (y+10) = 107.50
Step-by-step explanation:
Let y represent Terry's purchases. Then Tori's purchases are (y+10). The sum of their purchases is given by the equation ...
y + (y+10) = 107.50
_____
Then y = 48.75 represents Terry's spending, while y+10 = 58.75 represents Tori's spending.