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
![\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 ]=1002](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%3D1002)
Answer:
Hey there!
Sam's Money=1.80 dollars + 0.75 dollars.
1.80+0.75-1.50=1.05
1.05/0.13= 8.08.
He will be able to buy 8 pieces of gum.
Let me know if this helps :)
Answer:
The answer to this is False, False, True.
Step-by-step explanation:
A is false because WAU is an obstute angle, which can't be 55 degree.
B is flase because YAU is actually the angle that is 55 degree, not 35 degree.
C is true because WAX is congruent to YAU and it is 55 degree.
Answer:
16=18
Step-by-step explanation:
2x-5x+16
-3x+16
-3(x-6)
-3x+18
-3x+16+-3x+18
16=18
-they do not share the same answer
and if you where to keep going
18-16=2
0=2
-so again not equal
hope that helps
