Answer:
Hi! The answer to your question is 0 8/25
Step-by-step explanation:
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Hope this helps!!
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Answer:
2 pi 
Step-by-step explanation:
The radius is 2
The area of a circle is 
A = pi r^2
We have 1/2 of a circle so
1/2 A = 1/2 pi r^2
          =1/2 pi ( 2)^2
          =1/2 pi *4
       = 2 pi 
 
        
             
        
        
        
Answer:
a = 
b= 4
Step-by-step explanation:
It's a 30-60-90 triangle based on the given picture. A right triangle too
Use sine, cosine, and tangent to solve for the side.
To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.
OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and  for long leg
 for long leg
So either way, b = 4
To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.
OR you can use the same rule, 30-60-90 triangle to save time
a will end up = 
 
        
             
        
        
        
<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
                  4a² + 3 x 4 x a x h = 48
                  4a² + 12 a x h = 48 
                  a² + 3 ah = 12  
                  
So volume is
                     
At maximum volume we have derivative is zero,
                     
Negative side is not possible, hence side of square base is 2m.
Substituting in  a² + 3 ah = 12  
                            2² + 3 x  2 x h = 12  
                              h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
 
        
        
        
Answer:
5. 9/2 6. 9/4 7. 7/2 8. 8/3 9. 2/3
Step-by-step explanation:
Hope I helped!!