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The difference between the ares of two rectangles 2016-06-09
From Ingrid:
I am trying to help my son with an area question.
I have the answer, from the solutions, but I cannot figure out how to teach him.


Two rectangles have lengths 13cm and 19cm respectively.
Their total area is 376cm squared.
If both their widths are whole numbers, what is the difference in their areas?

I know that this is solvable once I determine the widths of the rectangles ,
but how do I go about finding that?

Thanks for your help

Answered by Chris Fisher and Harley Weston.
The sum of the angles of a triangle 2016-02-24
From Sophia:
Does every triangle add up to 180 degrees? (Such as a unique triangle)
Answered by Penny Nom.
Archimedes, Euclid and "Circular Reasoning" 2015-11-15
From Ron:
I have read about Archimedes and his work with sphere in cylinder and cone in cylinder and the volume relationships. Did he or any others also extend this to regular based polygon based regular like pillars, and columns? The ratio of 1/3 to 1 whole holds true with all regular based columns as example: a regular pyramid having a regular hexagon base inside a regular hexagon column of equal height.
Answered by Chris Fisher.
Euclid's Parallel Postulate 2013-08-20
From Justin:
Hello there,

I was wondering is Euclid's Fifth Parallel Postulate of parallel lines never intersecting, undecidable or essentially undecidable?

Thank you so much for any help you can provide!

Answered by Robert Dawson.
Things equal to the same thing 2009-07-29
From nazrul:
If p^2-pa+q=0 and m^2-ma+n=0 , can we write p^2-pa+q= m^2-ma+n? Please explain.
Answered by Robert Dawson.
Express the HCF of 1232 and 573 as 1232x + 573y = 1 2009-02-22
From Anonymous:
Express the HCF of 1232and 573 as 1232x + 573y = 1.
Answered by Victoria West.
I want to learn math 2007-08-07
From Maria:
Hello. I am 16-years-old, and I would like to learn as much mathematics as I can and to really understand it. I would like to know what people mean when they say things like "thinking mathematically" or "math is equally beautiful and true". However, I'm not sure where to start. :-) What do you think of going back to the beginning and working my way through Euclid? Your help would be very much appreciated. Thank you.
Answered by Harley Weston.
Greatest common divisor 2007-03-14
From Marie:
How do I prove this? Let h be the greatest common divisor of the positive integers a and b. Show that there exist integers p and q (not necessarily positive) such that pa + qb = h. Thanks
Answered by Penny Nom.
Show that 3k+2 and 5k+3 are relatively prime 2007-01-15
From Andrea:
show that if k is a positive integer, then 3k+2 and 5k+3 are relatively prime
Answered by Penny Nom.
How many children were there? 2006-05-14
From Geecee:
At a local village gala, the entire population turned up, 500 people. The event raised £3,000. Tickets were priced as follows: £7.48 men, £7.12 women and £0.45 children. How many children were there?
Answered by Stephen La Rocque.
Absolute Value vs. Standard Deviation ? 2006-04-24
From Sonia:
Why we don't just take the average of the absolute value of difference scores (use the mean deviation) to describe variability instead of calculating the standard deviation?
Answered by Claude Tardif.
Ratio and proportion 2004-04-02
From Kenneth:
The terms of a ratio in a proportion are often expressed as a is to b as c is to d.

Example: 2/4 = 6/12 this proportion represents that 2 is to 4 as 6 is to 12.

What does the "a is to b as c is to d" really represent or indicate in ratios?

Answered by Claude Tardif.
Non-euclidean geometry 2003-12-08
From Geoffrey:
How can you use non-euclidean geometry to navigate on a sphere? What geometers did work in this area?
Answered by Chris Fisher.
Non-Euclidean geometry 2003-12-03
From Geoffrey:
What are the applications of Non-Euclidean geometry (especially hyperbolic and spherical)?
Answered by Walter Whiteley.
Can a square be considered a rectangle? 2003-02-27
From Carla:

Can a square be considered a rectangle? (since opposite sides are same length and parallel)

Would a regular hexagon or octagon be considered a parallelogram since its opposite sides are parallel? or does a parallelogram HAVE to have only 4 sides?

Answered by Penny Nom.
The interrelations of the propositions in Euclid I 2002-10-01
From Rob:
I'm a student at St. John's College in Santa Fe New Mexico, are school is devoted to the great books and we're now reading Euclid's Elements in english and Attic Greek. We have an assignment to show a frequency or flow chart of how all the propositions of book one are interrelated.
Answered by Chris Fisher.
The Euclidean Algorithm 2002-01-31
From Murray:
Can you please explain to me why the euclidean algorithm works?
Answered by Penny Nom.
Reduce 79,537/3,623,420 2001-12-13
From Eliana:
How do you reduce 79,537/3,623,420.
Answered by Claude Tardif.
Euclid and Pythagoras 2001-06-14
From Scott:
Question 1. In about 300 BC Euclid recorded a proof of Pythagoras rule. Disscuss Euclid's contribution to developing the theroem.

Question 2.

Why was it named after Pyhagoras if he did not orginally discover it?

Answered by Chris Fisher.
Partitioning of an arbitrary line segment 2001-02-08
From David:
Did Euclid's Geometry include a construction for the regular partitioning of an arbitrary line segment?
Answered by Chris Fisher.
Euclidean distance 2000-09-06
From Velma Zahirovic-Herbert:
If d(x,y) is euclidean distance between x and y Prove that
if d(x,y)=0 than x=y
and d(x,y)=d(y,x)

Answered by Paul Betts.
Adjacent Angles 2000-05-21
From Katherine Keys :
Can a straight angle be an adjacent angle to another angle?
Answered by Chris Fisher.
Euclidean Math puzzle 2000-01-24
From Margaret Matthews:

(Check out this web-site: Simeon's Triangle Puzzle )

I have tried to figure out how this could be, because everything I know about it tells me it can't be. However, I can't seem to make it NOT work.

Two right angle triangles. They are each cut up into four identical pieces. In the first, all the pieces fit together so that there are NO empty spaces; in the second, presumed to be identical in size to the first, the pieces are slightly rearranged, and now, there IS a space in the triangle.

Answered by Patrick Maidorn and Claude Tardif.
Non-Euclidean Geometry 1999-02-10
From Robert Smith:
Is non-euclidean geometry necessary for the college bound student? I have students that are inerested in teaching math one day. My school is restricted to Euclidean Geometry.
Answered by Walter Whiteley and Jack LeSage.
Euclid's Pythagorean proof 1996-02-14
From Sean:
What is Euclid's proof of Pythagoras' theorem?
Answered by Harley Weston.
Point de partage 2000-02-21
From Sebastian Murciano:
J'aurais besoin de savoir où je peux trouver de l'informations, ou est-ce que vous pouvez me donner de l'information sur : Point de partage d'un segment étudié en Secondaire 4.
Answered by Claude Tardif.



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