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A lidless box with square ends |
2008-04-28 |
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From Chris: A lidless box with square ends is to be made from a thin sheet of metal. Determine the least area of the metal for which the volume of the box is 3.5m^3.
I did this question and my answer is 11.08m^2 is this correct? If no can you show how you got the correct answer. Answered by Stephen La Rocque and Harley Weston. |
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A rectangle inscribed in a circle |
2008-04-27 |
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From sridhar: A rectangle with perimeter 28 cm inscribed in a circle of radius 5 cm
find the area ? Answered by Penny Nom. |
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An octagonal prism |
2008-04-27 |
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From Melanie: My son is identifying geometric shapes in the real world? We are stuck on octagonal prism, rectangular prism and square prism. Can you help me out with some examples. Thanks Answered by Penny Nom. |
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The sum of the squares of the fibonacci numbers |
2008-04-27 |
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From Thomas: Hey I have a question for a research topic that our teacher set us, It is regarding the sum of the squares of the fibonacci numbers.
The question says describe the pattern that exists and write a general formula that describes the relationship illustrated above.
I can see the pattern that is occurring but i cannot put this into a general formula.
Any help would be appreciated.
Thanks Tom Answered by Victoria West. |
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5 percent |
2008-04-26 |
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From Lok: I do not understand why 1.05 = 5%, how can I get this?
In additional, if I want to calculate 10 x 5% in excel, what is the formula? Answered by Penny Nom. |
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A circle inscribed in a triangle |
2008-04-26 |
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From Amar: I have been given a circle inscribed in a triangle and have been told to prove that the ratio of the perimeter of the triangle to the circumference of the circle is the same as the ratio of the area of the triangle to the area of the circle. How would this be done? Answered by Stephen La Rocque and Walter Whiteley. |
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Working together |
2008-04-26 |
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From Joanna: If 8 men took 15 days to paint a building . How many more men are needed to paint the building in 6 days ? Answered by Stephen La Rocque. |
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Minimize the cost |
2008-04-26 |
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From A: A power line is to be constructed from the shore of a lake to an island that is 500 m away. The closest powerline ends 4km along the shore from the point on the shore closest to the island. If it costs 5 times as much to lay the powerline underwater as along the shore, how should the line be installed to minimize the cost? Answered by Stephen La Rocque. |
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sin^2(x) = -2cosx |
2008-04-26 |
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From Katelyn: I have been having some real trouble in trying to solve this equation:
sin^2(x) = -2cosx Answered by Stephen La Rocque. |
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Two overlapping circles |
2008-04-26 |
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From Michelle: Two overlapping circles O and Q have the common chord AB (vertical line between the overlapping circles). If AB is 6 and circle O has a radius of length 4 (horizontal line going through the overlapping circles and touching the side of the circle) and circle Q has a radius of length 6, how long is OQ. Answered by Penny Nom and Walter Whiteley. |
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At what value of t is the maximum acceleration? |
2008-04-25 |
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From Mary: Velocity of a function (which is the first derivative of its position) is defined over the interval 0 to 12 using the following piecewise function: v(t)=-1 from 0 to 4, v(t)=x-5 from (4 to 8 and v(t)=-x+11 from (8 to 12. At what value of t is the maximum acceleration? Answered by Stephen La Rocque. |
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1?2?3?4 = 7 |
2008-04-25 |
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From john: 1 2 3 4 = 7
The numbers have to stay in order of 1234 and when added,subtracted,multiplied or divided they have to equal 7. Answered by Stephen La Rocque. |
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Related rates |
2008-04-25 |
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From Mary: A rectangular box is 10 inches high. It's length increases at a rate of 2 inches per second and it's width decreases at the rate of 4 inches per second. When the length is 8 inches and the width is 6 inches, what is the rate of change of the volume? Answered by Stephen La Rocque. |
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What percent of the 35 graduates took the exam? |
2008-04-25 |
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From Laura: I have 35 graduates. All but 2 took their board exam. What percent of the 35 graduates took the exam? Answered by Stephen La Rocque. |
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-5x < 25+10 |
2008-04-25 |
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From Courtney: What is the answer to -5x<25+10 Answered by Stephen La Rocque. |
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