Answer:
RADIUS
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PROBLEM
Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?
SOLUTION
We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.
\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr
\tt{226.08 = 2(3.14) r}226.08=2(3.14)r
'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.
\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered} 
C=2πr
226.08=2(3.14)r
6.28
226.08
 = 
6.28
6.28r
 
 
C=36
 
 
To check:
\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered} 
circumference
C=2πr
C=2(3.14)(36cm)
C=2(113.04cm)
C=226.08cm
 
 
 
 
FINAL ANSWER
If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.
\boxed{ \tt \red{r = 36}} 
r=36
 
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Answer:

Step-by-step explanation:
Given

Required
Fill in the gaps
Going by the given parameters, we have that

 , when factorized is
, when factorized is 
Hence; the expression becomes

Combine Fractions

Simplify the denominators

By direct comparison


Hence, the complete expression is

 
        
                    
             
        
        
        
Answer:
576 Units
Step-by-step explanation:
The way your teacher wants you to do it:
1. We know that multiplying a length by four gives us the perimeter of a square.
1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16
1b. We know the perimeter is 96. So: 40x+16=96
2. Solving for x, we get x=2
3. Plugging our solved x into the given length  (10x+4), we see that the length of a side of the square is 10*2+4=24.
4. We know that the area of a square can be found by squaring the side of a square.
4a. 24*24=576.
5. The area is 576 units.
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Easier Solution:
1. We know that the perimeter is length*4.
2. We set L to length.
2a. 4L=96
2b. L=24
3. We know that the length square is area.
4. 24*24=576.
 
        
             
        
        
        
Answer:
1/6
Step-by-step explanation:
The rise is 1 and the run is 6