Two joggers run 8 miles north and then 5 miles west. What is the shortest distance , to the nearest tenth of a mile, they must travel to return to their starting point?
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9.4 miles

Step-by-step explanation:

We can assume that if these joggers run 8 miles north, consecutively 5 miles west, these lengths form legs of a right angle triangle, from which we have to determine the hypotenuse of the triangle provided it would lead to the shortest route possible;

Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this hypotenuse, which we can assign as x;

8^2 + 5^2 = x^2 ⇒ square 8 and 5,

64 + 25 = x^2 ⇒ Combine like terms,

x^2 = 89 ⇒ Take square root on either side

Solution; Shortest Distance ⇒ length of 9.4 miles

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step-by-step explanation:

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