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1. What is the sum of the positive integer factors of 2017?

 

2. Oberon and Lance sit directly opposite each other at a large round table. Arthur sits at the same table, 20 feet from Oberon and 21 feet from Lance. What is the diameter of the table?

 May 19, 2018

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1. Since 2017 is prime, the number only has 2 factors, 1 and 2017.

Thus, the answer is \(1+2017=\boxed{2018}\)

 

2. Labeling all the points, we have a right triangle.

We use the formula, a^2+b^2=c^2

So, \(20^2+21^2=c^2\)

\(400+441=c^2\)

\(c^2=841\)

\(\boxed{c=29}\)

smileysmiley

 May 19, 2018

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