Answer:
Cube=150cm^2
Triangular Prism=228ft^2
Step-by-step explanation:
Cube

Triangular prism
Using these formulas

Solving for A

 
        
             
        
        
        
2.083333 yards are in 6 1/4 feet
        
                    
             
        
        
        
Step-by-step explanation:
all angles of a triangle sum to 180
180 = 15x + 24x +21x
 180=60x
solve for x
then substitute that for 24(x) to get the angle
 
        
                    
             
        
        
        
Step-by-step explanation:
ans will be 12 X will be the ans 
 
        
                    
             
        
        
        
 Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
 
 
- A piece-wise function is a function which has multiple pieces. 
- Each of the pieces have their own restrictions. 
- The domain of a function is the set of input, or x, values for which the function is defined. 
- The range is the set of all values taken by the function
As the piece
 has the domain [-5, 3) and graph of this piece is attached below.
 has the domain [-5, 3) and graph of this piece is attached below.
and 
 has the domain [3, 7) and graph of this piece is attached below.
 has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D) .
.
i.e. 
Domain: [-5, 3) U [3, 7)
Range: ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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