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: Answer is B, -1
Step-by-step explanation:
This is the correct answer according to Edge
This should be a five star btw sorry
Answer:
y > -14
Step-by-step explanation:
-5(y+2) < 60
-5y - 10 < 60 (Expand the term on the left)
-5y < 70 (Bring the numbers to the right)
y > -14 (Divide both sides by -5. Note that the inequality sign changes as we are dividing by a negative number)
Hence Answer is <u>y > -14</u>
Answer: 32805
Step-by-step explanation:
The factor between each term is -3, so you have to multiply -3 eight times (-3 to the power of 8), which is 6561. You have to multiply 6561 by 5 to get the answer.
Answer:
x = 18
Step-by-step explanation:
5(x - 8) = 50
Divide both sides by 5.
x - 8 = 10
Add 8 to both sides.
x = 18
