Answer:
r=sqrt45
Step-by-step explanation:
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
1/9 can be simplified to 1/3 as 1/3 x 1/3 = 1/9  and 49/25 can be simplified to 7/5 as 7/5 x 7/5 = 49/25.
Now looking at both the fraction 1/3 and 7/5
1/3 simplifies to 0.34
It is an irrational value as the 3 keeps repeating.
7/5 simplifies to 1.4 
It is a rational value as the decimal value is not repeating.
Thus making the second option the answer.
 
        
             
        
        
        
Answer:
Adding 12 to the circle area is equal to the square area.
 
Or 
 
s2 = 12 + A
 
Where
s = side of square 
A = area of circle
 
So
 
s2 = 12 + 36
 
s2 = 48
 
Solve this for s to get the side length
 
        
             
        
        
        
Answer:
a.  
  and 41.6
b.  52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth):  
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

 
        
             
        
        
        
This is all I got. Hope this helps: