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civonamzuk

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 Geometry

Find the length of BC.

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civonamzuk  20 мая 2021 г.
 #7
avatar+1693 
+8

@EinsteinJr:/  I used that site to refresh my memory; I've learned that stuff some 50 years ago but have never used it since.

@Melody:/  It only seems complicated, but it is not. After you went through all the steps, you'll be able to do it. It is fun!

Calculating square root of 645 without a calculator

2  
√6 .45
 - 4  
2 45
  2  
  √6 .45
   - 4  
(4 _) 2 45
  2  
  √6 .45
   - 4  
(45) 2 45
Square the 2, giving 4, write that underneath the 6, and subtract. Bring down the next pair of digits. Then double the number above the square root symbol line (highlighted), and write it down in parenthesis with an empty line next to it as shown. Next think what single-digit number something could go on the empty line so that forty-something times somethingwould be less than or equal to 245.
45 x 5 = 225
46 x 6 = 276, so 5 works.
  2

5

  
  √6 .45 .00
   - 4    
(45) 2 45  
  - 2 25  
    20 00
  2

5

  
  √6 .45 .00
   - 4    
(45) 2 45  
  - 2 25  
(50_) 20 00
       
  2

5

 . 3
  √6 .45 .00
   - 4    
(45) 2 45  
  - 2 25  
(503) 20 00
       
Write 5 on top of line. Calculate 5 x 45, write that below 245, subtract, bring down the next pair of digits (in this case the decimal digits 00). Then double the number above the line (25), and write the doubled number (50) in parenthesis with an empty line next to it as indicated: Think what single digit numbersomething could go on the empty line so that five hundred-something times somethingwould be less than or equal to 2000. 503 x 3 = 1509
504 x 4 = 2016, so 3 works.
  2

5

 . 3  
  √6 .45 .00 .00
   - 4      
(45) 2 45    
  - 2 25    
(503) 20 00  
  -  15 09  
   

4

 91 00
  2

5

 . 3  
  √6 .45 .00 .00
   - 4      
(45) 2 45    
  - 2 25    
(503) 20 00  
  -  15 09  
(506_) 

4

 91 00
  2

5

 . 3 9
  √6 .45 .00 .00
   - 4      
(45) 2 45    
  - 2 25    
(503) 20 00  
  -  15 09  
(506_)  4 91 00
Calculate 3 x 503, write that below 2000, subtract, bring down the next digits. Then double the 'number' 253 which is above the line (ignoring the decimal point), and write the doubled number 506 in parenthesis with an empty line next to it as indicated: 5068 x 8 = 40544
5069 x 9 = 45621, which is less than 49100, so 9 works.

Thus to one decimal place, √645 = 25.4

30 апр. 2015 г.
 #3
avatar+1693 
+8

30/0.5-(-4)=64

30 апр. 2015 г.