Step-by-step explanation: The reciprocal of 20/32 is 32/20. Reciprocal is just flipping a number. For an example: The reciprocal of 98/12 is 12/98.
Hope this helps! :D
 
        
             
        
        
        
Answer:
The volume is 27 cubic cm. 
Step-by-step explanation:
 
        
             
        
        
        
58…
Explanation: 
I’m confused, either you worded it wrong, or this is the easiest question ever. The question says “58 of the student are boys. How many students are boys?”
        
                    
             
        
        
        
Answer:

Or if you want with the value of h too. 

Step-by-step explanation:

Find the value of h and k by using the formula. 

From y = x²-2

Substitute these values in the formula. 

Therefore, h = 0.

Therefore, k = - 2.
From the vertex form, the vertex is at (h, k) = (0,-2). Substitute h = 0, a = 1 and k = -2 in the equation. 

These type of equation where b = 0 can also be both standard and vertex form. 
 
        
             
        
        
        
Answer:
∠ PTQ = 70°
Step-by-step explanation:
The angles subtended by the radii and tangents to the circle , sum to 180°
∠ PTQ + 110° = 180° ( subtract 110° from both sides )
∠ PTQ = 70°