A light-year is defined as the distance the light can cover in one year.
The light travels at speed of
, and one year converted into seconds is
So the distance covered by the light in one year is
And this is the distance that corresponds to one light-year.
Right-angled triangle. Let x be the required angle. Tan x = 8/6. x= 53.1°
Answer:
1. x=6
2. C <-26
3. p<6
4. -5x-44
Step-by-step explanation:
1. 2x = 3(x-2) - 3(x-6)
Distribute
2x= 3x-6 -3x+18
Combine like terms
2x =12
Divide by 2
2x/2 =12/2
x=6
2. C+6<-20
Subtract 6 from each side
C+6-6 < -20-6
C <-26
3. -5p > -30
Divide by -5. Remember to flip the inequality when dividing by a negative
-5p/-5 < -30/-5
p<6
4. -4 - 5(X+8)
Distribute
-4 -5x-40
Combine like terms
-5x-44
N=3
Distribute them at the numbers, add 30 to both sides of the equation then simplify. Then add 14 to both sides of the equation. Simplify again. Divide both sides of the equation by the same factor. Simplify. Answer is n=3
HI, I drew & explained it below. I used the sine trig function to find the diagonal length and then used the pythagorean to find the missing length. Hope this helps :)
