Answer:
all work is shown and pictured
 
        
             
        
        
        
The answer is 9.5 ( rounded, answer is 9.486833)
        
             
        
        
        
Answer:

Step-by-step explanation:
Given
 
 
 
 
Required
Determine the area in terms of time
From the question, we have:
 -> radius per time
 -> radius per time
and
 --> area from radius
 --> area from radius
The interpretation of the question is to find the composite function: a(t)
If  , and
, and  , the
, the
Substitute 0.5t for r



 
        
             
        
        
        
In order to find this you need to find a common denominator. 2/3 and 3/4 common denominator would be 12 and so what you do to the bottom you must do to the top. 2x4 is 8 and 3x3 is 9. that would make 8/12 and 9/12. 8 plus nine is 17 and 12 stays there so the answer is 17/12 which equals 1 and 5/10.