Answer:
a = 2
b = 3
c = 8
Step-by-step explanation:
<em>2^5/4</em>=<em>2^5/2a</em>=<em>2^b</em>=<em>c</em>
       <em>2^5/4</em>, 2^5 = 32, 32/4 = 8
              so c, being what all of this is equal to, is 8
       <em>2^5/2a</em>, 2*2=4 
               so a = 2
       <em>2^b </em>= 8, ∛8 =  3
               so b = 3
Hope my explanation makes sense :)
 
        
             
        
        
        
Answer:
Step-by-step explanation:
a)
<u>Area of the frame with picture:</u>
- A = lw
- A₁ = (x + 4)(x + 7) = x² + 11x + 28
<u>Area of the picture:</u>
<u>Area of the wooden frame is the difference of the above values:</u>
- A₃ = A₁ - A₂ 
- A₃ = x² + 11x + 28 - x² - 3x 
-      = 8x + 28
b)
<u>When x = 5, the picture frame area is:</u>
- A₃ = 8*5 + 28 = 40 + 28 = 68 in²
 
        
                    
             
        
        
        
Answer:
The volume of a cylinder is  .
.
Step-by-step explanation:
We have,
Height of cylinder, h = 7 cm
Diameter of cylinder, d = 18 cm
Radius, r = 9 cm
It is required to find volume of cylinder. The formula of the volume of cylinder is given by :

So, the volume of a cylinder is  .
.
 
        
             
        
        
        
a[n] = 7n - 16
The fifth term is a[5]
a[5] = 7(5) - 16 = 35 - 16  = 19
Answer: C. 19
 
        
             
        
        
        
The square root of 32 is irrational = 5.6568424949