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Modelling the roof of a house |
2010-03-23 |
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From Sandi: This question has been haunting my dreams at night. It states the cross section of the roof of a house is modelled by the function y= -5\12|x-12|+5, where y>0 or y. Now I'm suppose to graph the function. b) Find the slope, height, length of sides, and base of the isosceles triangle. c)Explain what transformation must be applied to the graph of y=|x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0. 1st I put the equation into my calculator and graphed it. I got 10 for the height. We have had 2 sub teachers this past week. The first one told me the height should be 12 the other one told me 5. So I'm really confused. If I use my 10 units as height and the Pythagorean Theorem I get my sides to be 26 units the base 48 and my slope I calc to be 5/12. Both teachers are pretty sure I'm wrong and they are right but we all have different answers. Please help put this problem to rest so I can rest soundly at night. Thank you for your time. Answered by Penny Nom. |
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Factorials |
2010-03-23 |
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From Leah: When should you use factorials? Answered by Robert Dawson. |
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What is 8.6597 divided by two thirds? |
2010-03-22 |
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From patsy: what is 8.6597 divided by two thirds Answered by Penny Nom. |
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l'orientation d'un plan dans l'espace |
2010-03-22 |
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From gianno: comment calculer l'orientation d'un plan dans l'espace Answered by Claude Tardif. |
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A champagne pyramid |
2010-03-22 |
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From Kathy: I have 680 champagne glasses and my pyramid can only be 15 levels high. How many glasses need to be on each level? Is there a formula I can use? Answered by Robert Dawson. |
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Sand in an hourglass |
2010-03-20 |
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From Luke:
 Answered by Harley Weston. |
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A quadrilateral with 4 known sides and 1 known angle |
2010-03-19 |
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From samuel: Name: Samuel
Status: Student
I have a quadrilateral with 4 known sides and 1 known angle, and I'm trying to evaluate the other angles of my quadrilateral.
By the law of cosines, I can easily find my opposite angle (using the diagonal as a basis for the equation).
However, to find the two remaining angles, I have found no other way so far than to use the other diagonal, which can be found with the equation attached (from geometry atlas).
Is there any simpler way? Answered by Robert Dawson and Harley Weston. |
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Binomial probability |
2010-03-19 |
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From Rana: According to one study, it has been claimed that 65% of all single men in Montreal would welcome a
woman taking the initiative in asking for a date. You decide to challenge this study by performing a little
experiment of your own. You randomly select 15 single men from around Montreal and ask them if they
would be comfortable with a woman asking them out for a date. If the claim made by the study was
true, what is the probability that:
a) Exactly 9 men would say yes?
b) Exactly 6 men would say no?
c) More than 11 men would say yes?
d) At most 4 men would say no? Answered by Penny Nom. |
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How many zeros? |
2010-03-18 |
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From jeff: 1 light yr is 6,500 billion miles, the galaxy "Andromeda" is 2,500,000 million light yrs, how many zeros are in this equation ? Answered by Robert Dawson. |
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Water in a culvert |
2010-03-18 |
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From Chip: Hello,
I have a problem to which I know there must be an analytical solution - but as it has been 50 years since I studied math I can't remember quite how to do it!! I have a 12" round culvert in my yard that runs water all year. I would like to be able to calculate the flow through the culvert by measuring the depth of water flowing through and measuring the speed of the current. I can measure the depth and the speed, but I forget how to calculate the cross section of the flow. If you could help I would greatly appreciate it.
Thank you Answered by Penny Nom. |
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Factors and zeros of a polynoial |
2010-03-17 |
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From Susan: find a polynomial function of degree three with -3 as a zero of multiplicity 2 and 4 as a zero of multiplicity 1. Answered by Tyler Wood. |
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Angular velocity |
2010-03-17 |
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From Lindsay: Determine the angular velocity, in radians per second, of a 14-inch car wheel, if the car is traveling at 60 miles per hour Answered by Harley Weston. |
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What is the speed of the current? |
2010-03-17 |
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From Carl: If you can row 3 mph in still water and paddle 3 miles upstream and return in 3.6 hours then what is the speed of the current? Answered by Penny Nom. |
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A rectangular box packed with cylinders |
2010-03-16 |
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From Laura: There is a cylinder which has a diameter of 10cm and height of 10 cm. Work out the volume of the cylinder. Then in a packed box of 20 cylinders (height of box 10cm) work out the volume inside the box that is not filled by the cylinders give your answer in terms of pi. Answered by Penny Nom. |
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Metric prefixes |
2010-03-16 |
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From ali: How do you convert zectometres to yoctometres Answered by Robert Dawson. |
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