giannageroges giannageroges
  • 16-04-2022
  • Mathematics
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A map of utah has scale 1cm :30 mi the southern border is about 285 mi long how long is the border on the map

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sqdancefan
sqdancefan sqdancefan
  • 16-04-2022

Answer:

  9 1/2 inches

Step-by-step explanation:

The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.

__

  map distance/represented distance = 1 in/(30 mi) = x/(285 mi)

where x represents the map length of the southern border.

Multiplying by 285 mi, we have ...

  x = (285 mi)(1 in)/(30 mi) = 9.5 in

The border is 9.5 inches on the map.

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