Respuesta :
Answer: The scale factor is: " 2 : 300 " .
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Explanation:
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2 cm : 3 m ;
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Convert: "2 cm " to the value in "m" .
Note the exact conversion: "100 cm = 1 m" .
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2 cm * (1 m / 100 cm) = (2/100) m = 0.02 m .
So we rewrite: "2 cm: 3 m " ; as:
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0.02 m : 3 m ;
The units of "m" cancel out ; since "m/m = 1" ;
and we are left with:
0.02 : 3 ; or, write as: 0.02/3 ;
Now, multiply BOTH the numerator and the denominate by "100" ; to get rid of the decimal; since "scale factors" in maps do not use "decimals" ;
"0.02 / 3 " = [ (0.02)*100 ] / [(3 * 100)] = 2/300 ;
_______________________________________________________
Answer: The scale factor is: " 2 : 300 " .
_______________________________________________________
________________________________________
Explanation:
________________________________________
2 cm : 3 m ;
________________________________________
Convert: "2 cm " to the value in "m" .
Note the exact conversion: "100 cm = 1 m" .
_________________________________________
2 cm * (1 m / 100 cm) = (2/100) m = 0.02 m .
So we rewrite: "2 cm: 3 m " ; as:
__________________________________________
0.02 m : 3 m ;
The units of "m" cancel out ; since "m/m = 1" ;
and we are left with:
0.02 : 3 ; or, write as: 0.02/3 ;
Now, multiply BOTH the numerator and the denominate by "100" ; to get rid of the decimal; since "scale factors" in maps do not use "decimals" ;
"0.02 / 3 " = [ (0.02)*100 ] / [(3 * 100)] = 2/300 ;
_______________________________________________________
Answer: The scale factor is: " 2 : 300 " .
_______________________________________________________
Answer:
1:150
Step-by-step explanation:
Hello
the scale factor is the ratio that exists between the measurements of a map with the originals ,the scale is the relationship between the real dimensions and those of the drawing that represents reality on a plane or a map.the scale factor is dimensionless
for a map a scale of reduction is used
[tex]sf=\frac{length\ on\ reality \ }{length\ on\ map \ }[/tex]
Step 1
the scale factor of 2 centimeters : 3 meters means that, if we measure 2 cm in the map , it is 3 meters on the reality
Let
Length on the reality=3 m
Length on the =2 cm
replacing
[tex]sf=\frac{length\ on\ reality \ }{length\ on\ map \ }\\sf=\frac{3\ m}{2\ cm}[/tex]
to cancel units is need convert cm into m, or m
1 m =100 cm
3m = x? cm
x=3*100 cm
x=300 cm
Step 2
replacing
[tex]{length\ on\ map \ }\\sf=\frac{300\ cm}{2\ cm}\\sf=150[/tex]
the scale factor is 150, usually is written 1:150, that means that any length in the plane must be multiplied by 150 to know the length in reality
Have a great day
