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5 points équidistants sur la surface d' une sphère |
2005-08-15 |
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From Jean: J' aimerais placer 5 points équidistants sur la surface d' une sphère.
Si vous aviez une formule simple pour un néophyte, cela m' aiderais beaucoup. Answered by Claude Tardif. |
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Jim is travelling from Toronto to Ottawa |
2005-08-15 |
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From Eleanor: Hi! I am looking for an easy way to solve this type of question: Jim is travelling from Toronto to Ottawa, a distance of 435 miles. He travels part of the way at a speed of 100 km/h and because of an accident, he uses a secondary road and travels at 70 km/h. If the trip took him 6.5 hours, how far did he travel on each of the two roads. Answered by Penny Nom. |
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Is 360 Really the correct value? |
2005-08-15 |
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From Jack: Considering the circumference of a "Perfect Circle" with a Diameter of 1 meter would be something like 3.14 meters, why do we use the number 360 to represent the number of degrees within that circumference?
Would it not make more sense to express the degrees in reference to the relationship to the diameter as related to pi?
That is, let's just say our "Perfect Circle" has a circumference of 3.14 meters, therefore, what we now consider as due east would change from 90 Degrees to 78.5 Degrees. Answered by Penny Nom. |
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Stock in a printing company |
2005-08-12 |
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From Tracy: Sam and Mary each owned one-half stock in a printing company. Sam sold 2/3 of his stock to Mary. What fractional part of the printing business does Mary now own? Answered by Penny Nom. |
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Framing an arched wall |
2005-08-12 |
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From Mike: I'm framing a building wall with a curved (arcing) top section. The radius of the section is 74'6" with a height above finish floor of 16'0". The horizontal run of the arced section is 23' 1 1/2" with a low height above finish floor of 12'4". If I start with a 16' stud at the high end how long are the subsequent studs if they are on 16" centers? Short of laying this out on a tennis court how can I work out the lengths of the studs? Answered by Penny Nom. |
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A triangular lot |
2005-08-10 |
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From Elizabeth: If a piece of property was 100 ft on the west, 133 ft on the east and 100 on the north, how many acres is this or what fraction of an acre is this property? Answered by Penny Nom. |
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The Maclaurin series generated by f(x)=x^ cosx + 1 |
2005-08-10 |
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From Latto: f(x)=x3·cosx + 1. but when I take the derivatives, I couldn't see a pattern. Can you help?
Answered by Penny Nom. |
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Proof by induction? |
2005-08-10 |
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From Peter:
I am a lecturer and am having a problem with the following Proof by
Induction.
If
(N x N x N x N) + (4 x N x N x N) + (3 x N x N) + (N) = -4000
Prove that N is even!
Answered by Chris Fisher and Penny Nom. |
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The volume of soil needed to fill a planter |
2005-08-10 |
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From Phil: I need to calculate the volume of soil needed to fill a planter box that measures - 880mm W x 6080mm L x 900mm D. Answered by Penny Nom. |
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Cubic feet |
2005-08-10 |
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From Selene: This is my math question I need to convert these inches to cubic feet
34"W x 34"H x 34"L Answered by Penny Nom. |
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The number of four digit combinations |
2005-08-09 |
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From Kevin: My 12 year old has asked me how to figure out the number of four digit combinations possible using 0 thru 9 without repeating a number? Answered by Penny. |
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how do i round up 9.6 to the nears ones |
2005-08-09 |
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From Carlos: how do i round up 9.6 to the nears ones Answered by Penny Nom. |
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A two digit number |
2005-08-09 |
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From Grace: I am a 2 digit number. Both of my digits are even. My tens digit is 8 more than my ones digit. What number am I? Answered by Penny Nom. |
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Constructing a fence |
2005-08-09 |
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From Andres: I was constructing my fence and was having some problems trying to do a perfect (or as close as possible) arch. If i know a section of a fence is for example 85 inches wide and I want a 4 inch rise from the top rail how do i figure out the radius? Answered by Penny Nom. |
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At what rate is the circumference of the circle increasing? |
2005-08-08 |
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From John:
A mathematics professor is knitting a sweater. The main part of the sweater is knit in a large spiral, ending up with a diameter of 30 inches. She knits at a constant rate of 6/7 square inches per minute.
1. At what rate is the circumference of the circle increasing when the diameter is 2 inches?
2. How long will it take her to finish this piece of the sweater?
Answered by Penny Nom. |
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