Step-by-step explanation:
4/sin45=

 
        
             
        
        
        
Answer:
-5
Step-by-step explanation:
dₙ = -5 (1/2)n-1
the 3rd term in the sequence means n = 3
d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5
 
        
                    
             
        
        
        
Answer:
   True
Step-by-step explanation:
The midpoint is the average of the values:
   (-7 +8)/2 = 1/2
 
        
             
        
        
        
Answer:
The slope is 1
Step-by-step explanation:
Slope = (y₂-y₁)/(x₂-x₁) = (2-3)/(4-5) = (-1)/(-1) = 1
Therefore, the slope of the line that passes through (5,3) and (4,2) is 1
 
        
             
        
        
        
Answer:
a=21.1
Step-by-step explanation:
You can use the given (incorrect) equation and fill in the value of t to find h:
  h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet
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Or, you can use the correct equation, or just your knowledge of revolutions:
  h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet
in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.