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aivan3 [116]
3 years ago
13

the scale for a map to actual distance is 2 cm to a 100 miles the actual distance on the map be between Los Angeles and Las Vega

s is 5.4 centimeters what is the actual distance in miles between Los Angeles and Las Vegas.Show your work.​
Mathematics
1 answer:
Scilla [17]3 years ago
7 0

Given :

The scale for a map to actual distance is 2 cm to a 100 miles.

To Find :

He actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimetres what is the actual distance in miles between Los Angeles and Las Vegas.

Solution :

2 cm of map shows 100 miles of actual distance.

So, 1 cm of map shows 50 miles of actual distance.

Now, 5.4 cm of map will show :

D=5.4\times 50\ miles\\\\D=270\ miles

Therefore, distance between Los Angeles and Las Vegas is 270 miles.

Hence, this is the required solution.

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What is the height, x, of the equilateral triangle?
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Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

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The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

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For this problem, we have that:

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