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Constructing a cross country district schedule 2015-12-13
David pose la question :
Retired math teacher trying to help son-in-law schedule a cross country district schedule. The would like to have four tri-meets each week for five weeks and one week of dual meets. The score the tri-meets as three duals, i.e. 1v2, 2v3, 1v3 constitutes one tri-meet. After many hours, not sure its possible, but I have forgotten a great deal! Thanks
Victoria West lui répond.
The volume of a cylinder 2009-02-18
jim pose la question :
given the volume of a cylinder at 565m^3 and the height of 20m how do i calculate the cross section area in order to determine the compression strength of the cylinder
Harley Weston lui répond.
Moving grain across the river 2008-03-12
Janice pose la question :
Wesley needs to move 820 kg of grain across the river in a canoe that can carry no more than 120 kg. Wesley has a mass of 70 kg. What is the fewest number of trips he will have to make? A. 17 trips; B. 18 trips; C. 32 trips; D. 33 trips.
Penny Nom lui répond.
Cross-sectional area of a fire hose 2008-01-27
Tom pose la question :
My question is this I know the equations for the final answer but the book skips how to get to one section of the equation. Q=(a)(v) A= The cross-sectional area of the conduit in square feet (ft2). So if you have a 5 inch hose how do they get A=0.136 ft2 ? And I know the velocity already v= velocity in ft per second.
Stephen La Rocque lui répond.
Comparing flow rates of two pipes 2007-07-14
Kenneth pose la question :
If two water pipes are 3 feet long, but one of them has a 1 foot diameter and the second has a 1 1/2 foot diameter, what simple mathematical method can be used to determine how much faster one pipe can drain water than the other pipe?
Stephen La Rocque lui répond.
Comparing two fractions 2007-01-18
Kayla pose la question :
Why does eight over twelve compared to one half work when you use cross multiplication.
Penny Nom lui répond.
An octagonal bird house 2007-01-13
Soren pose la question :
I'm in the process of building a birdhouse that is an octagon (based on previous questions, looks like that's a familiar tune). The essential elements are known, but I get stuck when trying to determine the angle for the cuts that would be made to the thickness of the wood so that they all fit together when assembled. Each octagonal section is 7 inches in width and the peak of the roof will be 2 inches higher than the sides. My sense is that the angle cuts that need to be made to the 'height' of each piece of wood. By height I mean the thinnest part of the wood that is neither the length nor the width to use colloquial terms. While it's clear that a slight angle is needed, it would seem that the angle would necessarily change as the distance from the top of any one side to the peak changes. Please advise if more clarification is needed. The 2 inches is random and can be changed if more convenient. Whew!
Harley Weston lui répond.
A perpendicular intersection of two barrel vaults 2006-07-21
Neal pose la question :
I'm wanting to build a series of architectural models of different roman and medieval buildings out of cardboard. Once I have perfected the models I want to print them out on card stock so that school kids (or anyone else) can make the buildings.
A feature of many of these models is the cross or groin vault (a perpendicular intersection of two barrel vaults).
A single barrel vault is easy to imagine as a plane (a rectangular piece of cardboard) that will be folded into a semi-circular arch.
The intersection of a second barrel vault and this one is presenting me with problems. The second plane needs to have an ellipse cut into it so that when it is folded into the arch, it will mate up with the curve of the first barrel vault.
Given that the two pieces of card have identical widths (and therefore identical arcs in cross section) is there a way to calculate the ellipse that needs to be cut so that it can be cut before the second arch is folded?

Edward Doolittle lui répond.
Crossword math puzzle 2004-09-14
Joyce and Tiffany pose la question :
The puzzle name was real number vocabulary and the question is (a number that divides evenly into another what is it?). (Space in between tic-marks on a number line).
Harley Weston lui répond.
Crossing a river 2004-09-09
Barb pose la question :
Nine men and two boys, trekking through the jungle, need to cross a river. They have a small inflatable boat and it's easy enough to row it across the river. The boat, however, can hold no more than one man or the two boys. How can they all get across? (Hint. suppose there was only one man and two boys) Does it make math sense and what would the answer be
Penny Nom and Claude Tardif lui répond.
Vectors 2004-07-06
Annie pose la question :
a=3i-j+2k and b=i+3j-2k, determine the magnitude and direction cosines of the product vector and show that it is perpendicular to a vector c=9i+2j+2k.
Chris Fisher lui répond.
Joel pose la question :

I have this project to do about crosses and I can't think of what the answer is for the following questions: What is the area rule of the crosses (the table below will help you)?
Cross NumberArea sq cm
15
213
325
441
561

I also need to know what the formula is for it?

Penny Nom lui répond.
The cross-section of a football field 2003-05-25
Francis pose la question :
Have you ever walked on a football field covered with artificial turf? If so, you probably noticed that the field is not flat. The profile of the surface is arched and highest in the centre, permitting rainwater to drain away quickly.

height from base to highest point- 45.75 centimetres distance of the field- 50 metres

a) The diagram shows the profile of an actual field, viewed from the end of the field. Assuming that the cross-section is a parabola, find the algebraic model that describes this shape.

b) Use your equation to determine the distance from the sidelines where the field surface is 20 cm above the base line.

Harley Weston lui répond.
The cross country team 2002-06-12
Denae pose la question :
In cross country, a team's score is the sum of the first five finishers on the team. The captain of the team finished 2nd in the meet. The next four finishers on the team placed in consecutive order. The team score was 40. in what places did the other members finish?
Penny Nom lui répond.
The distance across a circle 2002-01-18
Douglas pose la question :
If you know how far around a circle is (say earth) 25000 miles how do you calculate the distance across?
Penny Nom lui répond.
Multiplying vectors 2001-10-22
Murray pose la question :
Could you please explain why a vector times a vector is a scalar and how to derive the formula vector a * vector b = ab cos(a,b)
Harley Weston lui répond.
Cross multiplication 2000-02-16
J E Swinton pose la question :
Why does cross multiplication work?

How come canceling work?

Penny Nom lui répond.
Crossing number 1999-11-06
Christian pose la question :
The crossing number of a graph G, denoted cr(G) is defined to be the minimum number of (pairwise) crossings of edges among all drawings of the graph in the plane. For example, cr(K5)=1 and cr(K3,3)=1.
What is cr(K7,7)?

I figured out that the answer is 81.

Now I am trying to figure out if K7,7 can be drawn in the plane with less than 81 crossings?

I'm not sure how to approach this one. Other than actually drawing it out and checking by trial and error, I am not sure how to approach this problem. Please help!
Denis Hanson lui répond.

Area of a triangle from vertex coordinates 1999-04-21
Mark Tyler pose la question :
I'm no schoolkid, but I liked your answers about triangles. You might enjoy a quick look at this, the kids may too.

I was working on a Voronoi dual where I had to calculate the areas of very many triangles expressed as vertex coordinates, so I derived the following very direct formula:

A = abs((x1-x2)*(y1-y3)-(y1-y2)*(x1-x3)) for triangle (x1,y1)(x2,y2)(x3,y3)

I've never seen this in a textbook. Is it original? I doubt it, the proof is only a few lines long.

Regardless, it may be fun for the kids, even if it's not on the curriculum.
Walter Whitley lui répond.

Cross-sectional area of a cylinder 1999-04-12
Rebecca Connor pose la question :
What is the formula to find the cross-sectional area of a cylinder?
Chris Fisher lui répond.

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