Answer:1002
Step-by-step explanation:

and 
and

as 
Applying this we get
![\Rightarrow \sum_{1}^{1002}\left [ \cos^2\left ( \frac{k\pi }{2\cdot 2005}\right )+\cos^2\left ( \frac{(2005-k)\pi }{2\cdot 2005}\right )\right ]](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csum_%7B1%7D%5E%7B1002%7D%5Cleft%20%5B%20%5Ccos%5E2%5Cleft%20%28%20%5Cfrac%7Bk%5Cpi%20%7D%7B2%5Ccdot%202005%7D%5Cright%20%29%2B%5Ccos%5E2%5Cleft%20%28%20%5Cfrac%7B%282005-k%29%5Cpi%20%7D%7B2%5Ccdot%202005%7D%5Cright%20%29%5Cright%20%5D)
every
there exist
such that 
therefore
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
Answer:
1.12 x 
Step-by-step explanation:
To solve, move the decimal back until you are past the 0s. It has to be moved back 4 times to get to the first 1.
1.12
Now, since you went back 4, the exponent of 10 is -4.
Answer:
17/5
Step-by-step explanation:
hskydbsiydbksigsbsk