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)
X< -6
Solve for the inequality x
16:24
If 1:1 therefore 24:24 therefore 24-8 = 16
Answer:
<u>12.8</u>
Step-by-step explanation:
Find the difference between 1.9 and 1.5 (Divide them)
You get 1.9 ÷ 1.5 = 1.26
Then multiply the answer with 8,
8 x 1.26 = <u>12.8</u> (Nearest tenth)
Have a great day :)
Answer:
t = 6.67 seconds
Step-by-step explanation:
Given that,
The distance of Moon from Earth, 
The speed of the spacecraft, 
We need to find the time it take this spacecraft to fly to the moon from earth. Let the time is t.
We know that,
Speed = distance/time

So, the required time is equal to 6.67 seconds.