Answer:
6
Step-by-step explanation:
This is a right triangle, and so the Pythagorean Theorem applies.  The legs of this triangle are 3√3 and 3; squaring these gives us 9(3) = 27 and 9.  Then, this Theorem gives us the length of the hypotenuse as
h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.
 
        
             
        
        
        
Answer:
2 hours 
Step-by-step explanation:
Given the following :
Darryl :
Speed = 25mph
Jacob:
Traveled in opposite direction
Speed = 35mph
After Darryl had traveled for 4 hours, Distance between them was 170 miles
Distance traveled by Darryl :
Speed * time = (25 * 4) = 100 miles
Total distance = distance traveled by Darryl + distance traveled by Jacob
170 miles = 100 miles + distance traveled by jacob
Distance traveled by Jacob = 170 - 100
Distance traveled by Jacob = 70 miles
Time = distance / speed
Time traveled by Jacob = 70 miles / 35mph
Time traveled by Jacob = 2 hours 
 
        
             
        
        
        
Answer:
 a)  cosθ  = 
Step-by-step explanation:
 <u><em> Step(i):</em></u>-
Given point ( x , y ) = ( - 2 , 3 )
We know that the polar co-ordinates
   x = r cos θ and y = r sinθ
 where    
   
             
<u><em>Step(ii)</em></u>:-
            x = r cos θ
           cosθ   
       cosθ  = 
        cosθ  = 
 
        
             
        
        
        
Hello!
The most logical equation would be b)
Hope it helps, have a nice day!