There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is 40 cm. The scale on the second map is 1 to 50 km what is the distance from cleveland to cincinnati on the second map explain your reasoning

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RenatoMattice RenatoMattice · Answer 1 · 2019-01-29T07:38:29+01:00

Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.

Step-by-step explanation:

Since we have given that

The scale on the first map is

[tex]1\ cm:10\ km[/tex]

That means

[tex]1\ cm=10\ km[/tex]

Distance from Cleveland to Clncinnati = 40 cm

So,

[tex]1\ cm=10\ km\\\\40\ cm=10\times 40\ km\\\\40\ cm=400\ km[/tex]

Similarly, Scale on the second map is given by

[tex]1\ cm:50\ km\\\\i.e.\\\\1\ cm=50\ km[/tex]

So, our 400 km in second map will be

[tex]\frac{400}{50}\ km=8\ km[/tex]

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.