Here are the newest items added to Quandaries & Queries:
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	A gas tank		2007-08-01
		From Randy: I am trying to determine the size of the gas tank on a used truck I just purchased. There is no tag on it showing the size. It measures 50" wide by 12" high by 18" deep. How many gallons of gas does it hold? Answered by Penny Nom.
	A problem concerning the medians of a triangle		2007-08-01
		From leeja: In a triangle ABC the sides BC and AC are given. It is also known that the medians to these sides are perpendicular to each other. Calculate the length of AB in terms of the other two given sides. Answered by Chris Fisher.
	An irrigation ditch		2007-07-31
		From Kevin: I would like to know how many cubic yards of concrete I would need to fill a section of irrigation ditch that measures 12 inches on the bottom, 40 inches on top, 16 inches high and 20 feet long with a 18 inch diameter, 20 foot long culvert sitting in the ditch (to remain open). I am trying to build a roadway across the irrigation ditch. Thanks very much. Answered by Penny Nom.
	Rolling a metal plate		2007-07-31
		From k.a.suresh: How to calculate the plate size for rolling (2010mm OD)plate thick is 6mm Answered by Harley Weston.
	Subdividing a property into half acre parcels		2007-07-31
		From Pamela: We need to divide a large property with five sides and strange angles into 1/2 acre parcels from the top down. We want to know where along the eastern and western borders of the large property to make the divisions. Answered by Stephen La Rocque.
	Logs and exponentials		2007-07-31
		From Marsia: Explain how the functions of exponents and logarithms relate to each other. Answered by Penny Nom.
	Vehicle collision		2007-07-31
		From Tania: If a driver falls asleep at the wheel of a newer model car and slams into the rear of a parked classic mustang (2860-3280lb) and the parked car is thrown 100 ft across the street, what would be the minimum speed required by the newer car in order to move the mustang? Answered by Penny Nom.
	A binary operation		2007-07-31
		From sofia: Prove that if * is associative and commutative binary operation on a set S, then (a*b)*(c*d) = [(d*c)*a]*b for all a,b,c,d element in S. Assume the associative Law only for triples as in the definition that is, assume only (x*y)*z = x*(y*z) for all x,y,z element in S. Answered by Penny Nom.
	Four digit numbers		2007-07-30
		From Spence: My son has a problem that he has been unable to figure out. I was asked to try, but I am confused on how to get the last two parts. Any help would be great. Thanks Spence How many four-digit numbers can be formed under each condition? A) The leading digit cannot be zero: 9(10)(10)(10)=9000 B) The leading digit cannot be zero and no repetition of digits allowed: 9(9)(8)(7)=4536 C) The leading difit cannot be zero and the number must be less than 5000: ?? D) The leading digit cannot be zero and the number must be even: ?? Answered by Penny Nom.
	2(8-3)+2^2		2007-07-30
		From Nikki: 2(8-3)+2² Answered by Penny Nom.
	The graph of a log function		2007-07-30
		From Marsia: How would you describe to another student what the graph of a logarithmic function looks like? Answered by Penny Nom.
	Binary operations		2007-07-30
		From jim: prove or disprove: Every binary operation on a set consisting of a single element is both commutative and associative. Answered by Penny Nom.
	An athletic track		2007-07-30
		From tammy: The inner boundary ABCDEF of an athletic track cinsists of two straight parts each 90m long and two semi circular ends as shown in the diagram.If the perimeter of the inner boundary is 400m, calculate the diameter AE of the inner semi circle. Part 2. If the track is 3.5m wide an athlete starts the 400m run at X and remains in the outer lane . He finishes at Y(1) Calculate the outer diameter YZ (2)The distance XY (take pie as 22/7) Answered by Penny Nom.
	Find all numbers which are both squares and cubes		2007-07-30
		From Arul: what is the easiest way to find the number which is both a square and a cube? the numbers i know are 64 and 729 which is both a sqr and a cube. i took long time to solve this.. is there any easier way? Answered by Steve La Rocque.
	Three points on the circumference of a circle		2007-07-30
		From Bharathi: given a circle with radius r and a point x,y on its circumference,output two other points x1,y1 and x2,y2 on the circle so thar all 3 points form a equilateral triangle. Answered by Stephen La Rocque.

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