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Maurinko [17]
4 years ago
8

5. The mall and library are 8 miles apart. On a map, the two buildings are 2 inches apart. How many miles does 1 inch represent

on the map?
Mathematics
1 answer:
sammy [17]4 years ago
5 0
4 miles represent one inch on the map.

This is because since they are 8 miles apart, and 2 inches in the map, and you want to find out how many miles per inch. You divide 8 by 2 because you want to divide how many miles by how many inches so that you can get 2 parts. That's how you get four.
Now that you cut 8 miles into two parts, you have halves, and half of eight is 4. And 1 inch represents that half since 1 + 1 equals 2 and 4 miles represents each of the two parts since 4+4 equals 8.
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Previous 20 Two groups leave on different flights from the same airport. Group A flies 200 miles due south, then turns 68° towar
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Answer:

Group B is farther from the airport.

Step-by-step explanation:

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Law of cosines:

c^2 = a^2 + b^2 - 2ab*cos(angle)

For group A, we have the sides of 200 miles and 75 miles, and the angle between the sides is (180-68) = 112°, so the third side of the triangle is:

c^2 = 200^2 + 75^2 -2*200*75*cos(112)

c^2 = 56863.198

c = 238.46\ miles

For group B, we also have the sides of 200 miles and 75 miles, and the angle between the sides is (180-51) = 129°, so the third side of the triangle is:

c^2 = 200^2 + 75^2 -2*200*75*cos(129)

c^2 = 64504.612

c = 253.98\ miles

The distance from group B to the airport is bigger, so group B is farther from the airport.

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