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Good work! This is hidden Box #11!
Level 4: Solve the following 4 problems:
The tale of eleven pipers piping:
The eleven pipers are enjoying their travels and their music. They do, however, need more work on following directions. |
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1. The cost of hiring all eleven pipers can be approximated by the expression  . Find the cost, to the nearest dollar, when x = 7.34. |
| 2. In pied piper fashion, one of the pipers piped his way around two triangular areas, as shown at the right. Find the length of the piper's walk from A to B to C to D to E. Round answer to the nearest meter. |
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3. As two pipers practiced on a field, one of their paths was a circle, while the other's path was a straight line. The equations representing the two paths are:
Piper A: (x - 5)² + (y - 5)² = 25
Piper B: y = -x + 3
What is the x-coordinate of the one location where they could potentially be in the same spot at the same time with a y-value greater than 1?
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| 4. The 11 pipers are scheduled to report for a practice session in the south-east portion of Commodore Field. The entire field is depicted by the graph at the right, and the field does not exceed the grid shown. The pipers are to report to the shaded region. |
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a) Which of the numbered choices represents the equation of the shaded practice area?
1) y  x + 3
2) y > x + 3
3) y  x + 3
4) y < x + 3
b) As the practice is about to commence, we find the pipers at the following locations. How many of the pipers are in the correct location on the field?
Piper #1: at point (4,3)
Piper #2: at point (-6,-4)
Piper #3: at point (1,5)
Piper #4: on line x = 7
Piper #5: at point (0,3)
Piper #6: at point (-2,8)
Piper #7: on line y = -8
Piper #8: on line y = x + 6
Piper #9: on equation (x + 6)² + (y - 4)² = 16
Piper #10: on equation y = -(x - 5)² + 6
Piper #11: still in the locker room
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Read carefully!!
Find the sum of the first two answers. Multiply this result by the sum of the last three answers. Place this answer in the address below (following the capital letter "H"), and type the address into your browser to find the next hidden box.
http://mathbits.com/caching/holiday/H__________.html
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