Answer:
50.28 inches
Step-by-step explanation:
From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2
Radius= 9in
C= 2πr
C=2*3.142*9
C=2*3.142*9
C= 56.556 inches
Hence the length of the arc is 
=56.556/2
=28.278 inches
The perimeter of the shape
=28.278+5+12+5
=50.28 inches
 
        
             
        
        
        
Answer:  
Step-by-step explanation:
 For this exercise it is important to remember the following:
 1. By definition, the "Product" is the result of a multiplication.
 2. The "Difference" is defined as the result of a subtraction.
 3. The Distributive property states that:
 
 Keeping the above on mind, you know that:
 "The difference of  and
 and  " can be represented with the following expression:
" can be represented with the following expression:
 
 Therefore, "The product of -13 and the difference of  and
 and  " can be represented with this expression:
" can be represented with this expression:
 
 Finally, you must apply the Distributive property in order to simplify the expression. You get:
 
 
        
             
        
        
        
Answer:
The dog drank 5/12 of the bowl 
Step-by-step explanation:
Common denominator
3/4 = 9/12
1/3 = 4/12
9/12 - 4/12 = 5/12 
 
        
                    
             
        
        
        
Y's minus y's and x's minus x's. 
9-5= 4
8-2= 6
These are the dimensions for your rectangle. Multiply them together.
4*6= 24
Your area is 24ft^2
        
             
        
        
        
Answer:
Answer:
b. -75x+57=-75x+57
Step-by-step explanation:
If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,
In option a.
57x+57=-75x-75
57x + 75x = -75 - 57
132x = -132
⇒ x = -1
i.e. it has only one solution,
In option b.
-75x+57=-75x+57
-75x + 75x = 57 - 57
0 = 0  ( True )
i.e. it has infinitely many solution.
In option c.
75x+57=-75x+57
75x + 75x = 57 - 57
150x = 0
⇒ x = 0
i.e. it has only one solution,
In option d.
-57x+57=-75x+75
-57x + 75x = 75 - 57
18x = 18
⇒ x = 1
i.e. it has only one solution.
Step-by-step explanation: