Answer:
sin(theta) + cos(theta) = 0
sin(theta) = -cos(theta)
sin(theta)/cos(theta) = -1
tan(theta) = -1
theta = - 45° ± k·180°
This is just here for the 20 character limit but the answer is in the picture.
Answer= X>3
5x>15
Divide both sides by 5x

5x will cancel with 15. You get 3
So, x>3
6)The experimental probability is 39%.(39/100(100)).
7) The theoretical probability is theoretical. This is when something should happen without taking external forces into account. Experimental probability is taking the external forces into account which is why the probability is not as clean cut.
The theoretical probability should be 33%.
The experimental probability is actually 39%.
ANSWER
1001
EXPLANATION
The sum of the first n - natural numbers is

The sum of the first 1000 terms is



The sum of the first 1001 terms is



The difference is
