Answer:
2
Step-by-step explanation:
Hello
Let's remember that the scale factor is the ratio that exists between the measurements of a map with the originals ,the scale factor is dimensionless,the scale is the relationship between the real dimensions and those of the drawing that represents reality on a plane or a map.
[tex]scale factor=\frac{length\ on\ the\ reality}{length\ on\ the\ draw}[/tex]
the scale factor of 5 mm : 1 cm means that, if we measure 5 mm in the map , it is 1 cm on the reality
as it has no dimensions we must have the same units to be canceled
Step 1
covert 5 mm into cm
1 cm= 10 mm
x cm = 5mm
x=(5mm*1cm)/10mm
x=0.5 cm
so, 5mm = 0.5 cm
Let
Length on the reality=5 mm =0.5 cm
Length on the drawing =1 cm
replacing
[tex]scale factor=\frac{length\ on\ the\ reality}{length\ on\ the\ drawing}\\scale factor=\frac{1 cm}{0.5 cm} \\scale factor=2\\\\[/tex]
the scale factor is 2
have a great day
