Tuesday, February 15, 2011

Geometry Online Question #3

You have until Monday, February 28, 2011 by 7:00 PM (new time!) to answer the following THREE-PART question. Make sure that you use COMPLETE sentences. For example, "No", "Yes", or "I don't know" would not be acceptable for full credit.


You have three options to submit your answers:

1. E-Mail me at whatsmynumber@gmail.com.  Include your first and last name, class period, and your answers.


2. Send me a message through my Facebook page at www.facebook.com/mathauthority.  Include your first and last name, class period, and your answers.


3. Post on my blog by doing the following...

• Click on the link above and then post your comment.

• Be sure to include your first and last name, class period, and your answer to the questions in the comment box.

• Once you finish, click the drop down arrow below the comment box and choose "Anonymous".

• If you have any problems commenting, please e-mail me at whatsmynumber@gmail.com.

Here is the three-part question... This counts as ONE homework grade and ONE quiz grade!

a. Amy drew a right triangle with legs whose lengths are the square root of 5 and the square root of 5 and whose hypotenuse is five times the square root of 2. Is this a 45-45-90 triangle? If it is not, explain how you can change the sides so that it is a 45-45-90 triangle.

b.  The date December 31, 2043 can be written in the format 12/31/43. This is an example of a true mathematical statement because 12 + 31 = 43. Suppose I wanted to write dates in the 21st century for Valentine’s Day (which is always celebrated on February 14) that will also give me true mathematical statements when writing in this format. There are only two of them this century. What are these two dates? Give your answers in standard format (like 12/31/43 = December 31, 2043).


c. Suppose that you just struck it rich by earning a million dollars. You are given the option of receiving $900,000 right now (because of taxes) or earning an equal amount from the million dollars over the next 25 years (no taxes). Which option would you choose? Explain your answer in at least THREE complete sentences.


Good luck!