Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1) 
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
 
        
             
        
        
        
Answer:
(4,4), (10,4), (10,10), (4,10)
Step-by-step explanation:
(2,2) x2 -> (4,4)
(5,2) x2 -> (10,4)
(5,5) x2 -> (10,10)
(2,5) x2 ->  (4,10)
Hope that helps!
 
        
                    
             
        
        
        
<span>The fishing boat traveled (8579-659)=7920 miles during the remaining 5 months</span>
        
             
        
        
        
Answer: 14/45
Step-by-step explanation: The probability that they first event will occur is 2/10. The probability that the second event will occur is 1/9. If you multiply those like it says in the hint you will get 14/45. (I think this is right)
 
        
             
        
        
        
Answer:
7.5
Step-by-step explanation:
gradient=(y1-y2)/(X1-x2)