Answer:
55
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
The horizontal distance from the plane to the person on the runway is 20408.16 ft.
Step-by-step explanation:
Consider the figure below,
Where AB represent altitude of the plane is 4000 ft above the ground , C represents the runner.  The angle of elevation from the runway to the plane is 11.1°
BC is the horizontal distance from the plane to the person on the runway.
We have to find distance BC, 
Using trigonometric ratio,

Here,  ,Perpendicular AB = 4000
 ,Perpendicular AB = 4000 


Solving for BC, we get,

 (approx)
 (approx)
 (approx)
(approx)  
Thus, the horizontal distance from the plane to the person on the runway is 20408.16 ft
 
        
             
        
        
        
Answer:
the y-value of the vertex = 1,125
Step-by-step explanation:
The table is as shown at the attached figure.
By graphing values in an x-y plane and observe the graph. 
From the illustration, locate the vertex. The vertex of the parabola is (5, 1,125). So, the y-value of the vertex of the parabola that models the data is 1,125. 
See the graph between x and y.
 
        
             
        
        
        
Answer: D. 72 m
Step-by-step explanation:
The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.
Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.
But be careful, we're not done yet... We still have to divide by 3
216 / 3 = 72
we can be sure this answer is correct because the other answers are clearly too big
here's your answer, hope this helps :)