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The city at coordinates 48N and 53W is St. John's, the capital city of Newfoundland and Labrador in Canada.
Vienna, Austria is located at 48N 16E.
The coordinates 48N 4E correspond to the city of Lyon in France. Lyon is known for its historical architecture, vibrant food scene, and proximity to the French Alps.
Paris
The coordinates 41N 2E refer to a location near the city of Toulouse in southern France. Toulouse is known for its historic architecture, aerospace industry, and vibrant cultural scene.
Those co-ordinates would place you in the country of France... to the north-east of the city of Orleans.
The city at coordinates 48N and 53W is St. John's, the capital city of Newfoundland and Labrador in Canada.
Vienna, Austria is located at 48N 16E.
The coordinates 48N 4E correspond to the city of Lyon in France. Lyon is known for its historical architecture, vibrant food scene, and proximity to the French Alps.
Paris, France
Paris
The closest city from the point is 44 miles away. A city named Timmins in Ontario, Canada.
Paris, France
The coordinates 41N 2E refer to a location near the city of Toulouse in southern France. Toulouse is known for its historic architecture, aerospace industry, and vibrant cultural scene.
Yes, here's the proof. Let's start out with the basic inequality 36 < 48 < 49. Now, we'll take the square root of this inequality: 6 < √48 < 7. If you subtract all numbers by 6, you get: 0 < √48 - 6 < 1. If √48 is rational, then it can be expressed as a fraction of two integers, m/n. This next part is the only remotely tricky part of this proof, so pay attention. We're going to assume that m/n is in its most reduced form; i.e., that the value for n is the smallest it can be and still be able to represent √48. Therefore, √48n must be an integer, and n must be the smallest multiple of √48 to make this true. If you don't understand this part, read it again, because this is the heart of the proof. Now, we're going to multiply √48n by (√48 - 6). This gives 48n - 6√48n. Well, 48n is an integer, and, as we explained above, √48n is also an integer, so 6√48n is an integer too; therefore, 48n - 6√48n is an integer as well. We're going to rearrange this expression to (√48n - 6n)√48 and then set the term (√48n - 6n) equal to p, for simplicity. This gives us the expression √48p, which is equal to 48n - 6√48n, and is an integer. Remember, from above, that 0 < √48 - 6 < 1. If we multiply this inequality by n, we get 0 < √48n - 6n < n, or, from what we defined above, 0 < p < n. This means that p < n and thus √48p < √48n. We've already determined that both √48p and √48n are integers, but recall that we said n was the smallest multiple of √48 to yield an integer value. Thus, √48p < √48n is a contradiction; therefore √48 can't be rational and so must be irrational. Q.E.D.
Barcelona, Spain is located at 41°N and 2°E.
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