1/6 of the wood in one hour. Let me help you with future problems i use this app called socratic it helps alot trust
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
Answer:
56503
Step-by-step explanation:
this grows exponentialy so at the start it would be 50,000 growing by 5% every ten years. but since there is only 2 ten years in 25 years we must cut the percent in half making 2.5%
Step 1
(50,000×5%)+50,000= 52500
Step 2
(52500×5%)+52500= 55125
step 3
(55125×2.5%) +55125= 56503
The answer would be 9 Permutation 3 (or 9P3) which is equal to 504 possible ways.
Answer:
I don't know all the answers but I do know the number five is c
