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gregori [183]
4 years ago
6

What us the difference in the ares of a circle with diameter 4 m and a circle with diameter 6 m? Round your answer to the neares

t square meter.
Mathematics
1 answer:
enyata [817]4 years ago
6 0
Let's calculate each area.
4 m:
We need to divide it by 2 to find the radius.
4÷2=2
Now let's put it in the formula.
2²π
4π=12.5663706≈13
6 m:
We need to divide it by 2 for the radius.
6÷2=3
Now put it in the formula.
3²π
9π=28.2743≈28
Now subtract 13 from 28.
28-13=15
So, the difference between their area is 15 m².
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What is 7 over (fraction bar) (8×4)+90÷9 ÷ (6^3)^-2 × 9 over (fraction bar) 6(5+4) = ?????
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The answer is:  " 36 " .
_______________________________
Note:  " (8 * 4) + 90 ÷ 9 " =  " (8 * 4) + (90 ÷ 9) " = "32 + 10 = 42" .

We can rewrite the "fraction":
 
7 / [ (8 * 4) + 90 ÷ 9 ] ;  as:  \frac{7}{42} ;  

and can reduce this value to (and rewrite as):  " \frac{1}{6} " ; 
    { since:  " \frac{7}{42}  =  \frac{7/7}{42/7}  = \frac{1}{6}" .}.

Note:  The "fraction" : \frac{9}{6(5+4)} ;  the "9/6" cancel to "3/2" ; 
  {Since:  "9÷3 = 3" ; and since:  "6÷3 = 2" ).

So rewrite:  \frac{9}{6(5+4)} ; as:  

\frac{3}{2(5+4)} ;

Note:  \frac{3}{2(5+4)}  ;

       =   \frac{3}{2(9)} ;

       =   \frac{3}{18} ;

→  Note:   \frac{3}{18} ;  can be reduced to; & rewritten as:

             " \frac{1}{6} " ;

→ {since: " \frac{3}{18} =  \frac{3/3}{18/3} ;
               
                                                      =   \frac{1}{6} ;
______________________________

Note that: (6²) ⁻² = 6⁽ ² * ⁻²⁾ = 6⁻ ⁴  ;
    
                            =  \frac{1}{6^4} ;
_________________________________________________________
So, we can rewrite our expression as:

 \frac{1}{6}  ÷  \frac{1}{6^4}  *  \frac{1}{6} ;
_________________________________________________________
Note:  
_________________________________________________________
 \frac{1}{6}  ÷  \frac{1}{6^4}  *  \frac{1}{6} ;

= ( \frac{1}{6}  ÷  \frac{1}{6^4} ) *  \frac{1}{6} ; 

= ( \frac{1}{6}  *   \frac{6^4}{1} ) *  \frac{1}{6} ;

________________________________________________________
Start with :
________________________________________________________
   → ( \frac{1}{6}  *   \frac{6^4}{1} ) ;

            The "6" in  the  " \frac{1}{6} " ;  cancels to a "1" ; 
       and the "6⁴ " in the "  \frac{6^4}{1} ) " ; cancels to a "6³ " ;

         → {Since:  "6⁴ / 6  =  6⁴ / 6¹  =  6⁽⁴ ⁻ ¹⁾  = 6³ ;

         → and we have:   \frac{1}{1}  *  \frac{6^3}{1} ;
 
         →  The " \frac{1}{1} " can be eliminated; since "1÷1= 1 " ;
               and since: any value, divided by "1", equal that same value; & since "any                       value, multiplied by "1"; equals that same value" ;
________________________________________________________
 We have:  " 6³ " .
________________________________________________________

Now, we multiplied this value, " 6³ " , by  " \frac{1}{6} " ;

→  6³  *  \frac{1}{6}  ;

     =  \frac{6^3}{1} * \frac{1}{6}  ;

Note:  The "6³ " cancels out to "6² " ;  and the "6" cancels out to "1" ; 

          {since:  "6³ ÷ 6 = 6³ ÷ 6¹ = 6⁽³ ⁻ ¹⁾ = 6² " ;
            and since:  "6 ÷ 6 = 1 "  ; ________________________________________________________
→ The answer is:  6² = 6 * 6 = 36 ;
________________________________________________________
The answer is:  " <span>36 " .</span>
________________________________________________________
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