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1. A bug starts at one corner of a solid rectangular prism with dimensions 2x3x5 units. If the bug wishes to move along the face of the prism to the opposite corner, what is the small possible distance the bug can walk? 

answer should be in simplest radical form

 

2. A set of 25 positive integers has the property that each number leaves a different remainder upon division by 25. Find the maximum possible value for the last digit of the product of these 25 numbers when written in base 25. Use A=10, B=11, etc. in your answer if necessary. 

 

Thank you and I hope you have a good day!

 Dec 22, 2020
 #1
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1 . sqrt( 5+(3+2)2 ) = sqrt(50)

 

 Dec 22, 2020
 #2
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Thanks! so it would be 5*sqrt2

Guest Dec 22, 2020

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