Beaver Computing Challenge

Instead of building a road 40 meters wide, a construction company builds a road that is 120 centimetres wider. What is the increase in cost for the material (in percent) if the length of the road is the same?

A Mad Professor has created a new kind of creature called a Blorg. For each Blorg, one hour after it is born, it gives birth to a new Blorg. Two hours after it is born, it gives birth to two more new Blorgs and then it immediately dies. If the Professor starts with one newborn Blorg at noon, how many live Blorgs does he have at 4:05 PM that afternoon after the new Blorgs have been born and the 2-hour-olds have died?

What is a formula for the side length of the smallest square that contains 3 non-overlapping circles with radius r ?

Hint: The height of an equilateral triangle is half of the side length times √3 (which is easily computed using the Pythagorean theorem).

In a coordinate system with origin O, a point P is located above the x axis and below the line y = x. P is mirrored on the x axis onto Q and on the y = x line onto R.

If a,b,c

a,b,c are non-zero real numbers satisfying

a

2

+b

2

+c

2

=1,

a2+b2+c2=1,

a(1

b

+1

c

)+b(1

c

+1

a

)+c(1

a

+1

b

)=−3

a(1b+1c)+b(1c+1a)+c(1a+1b)=−3

Of the following, which is the first time after 11:30 that the minute and hour hands of my circular alarm clock no longer form an obtuse angle?

11:40 11:41 11:42 11:43 11:44 11:45 11:46

A Relevant Answer for the obtuse angle of the acute C+B-11 = the answer that was included make complete sense of the (a)   must have shown the conclusion.