dividing both sides by -4, we get:
this means, each term is its previous term divided by -4.
now we can construct the sequence as follows:
Answer: the last term is -1/32
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
a. (2175 mi)/(18 mi/day) = 120.83... day ≈ 121 days
b. 120.83.../4 = 30.2083...
Joelle will hike 30 full days and one partial day.
Answer:
33
Step-by-step explanation:
it is 33 if you get it wrong than dab
Out of 3 coins, if you are given that 1 is on tails, then the most heads you could have is 3 coins - 1 tails = 2 heads.
The probability of getting 3 heads would be 0.
