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The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 cm. The scale on the second map is 1 cm to 50 km. Whats the distance from Cleveland to Cincinnati on the second map

Respuesta :

Answer1. To answer this question we must keep on mind that we already have the distance from Cleveland to Cincinnati.

2. They tell us that it is 40 centimeters on the first map.

3. If on the first map  then:

4. Then the distance from Cleveland to Cincinnati is 400 kilometers.

5. On the second map

6. Then we want to know how many centimeters represents 400 kilometers on the second map. Therefore:

The answer is: 8 centimeters.

Step-by-step explanation:

I took the quiz.

NinjaGoldfish

Answer:

The distance from Cleveland to Cincinnati on the second map=8 cm

Step-by-step explanation:

Step 1

Determine the actual distance from Cleveland to Cincinnati from the first map

map distance=actual distance×scale factor

where;

map distance=40 cm

actual distance=d

scale factor=1 cm to 10 km=1/10

replacing;

40=actual distance×(1/10)

actual distance=(40×10)=400 km

Actual distance between Cleveland and Cincinnati=400 km

Step 2

Calculate map distance using the second scale

map distance=actual distance×scale factor

where;

actual distance=400 km

scale factor=1/50

replacing;

map distance=400×(1/50)=8 cm

The distance from Cleveland to Cincinnati on the second map=8 cm

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