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Margarita [4]
3 years ago
15

Exactly one of the numbers 2,3 5 and 7 is placed in each of the 4 empty regions formed by circles A, B and C so that the sum of

the numbers in each circle is the same. Each number is used. What is the sum of the numbers in each circle? *

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

The sum of the numbers in each circle is 17

Step-by-step explanation:

The numbers to choose from are:

2, 3, 5, 7

By this alone the biggest number must be in the overlap of the three circles.

Then just fill in the numbers in such a way that they all are used.

The sum of the numbers in each circle is 17.

See picture for a solution.

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Answer:

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Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

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The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

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<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

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