...packet?!?!? FRUIT STAND PROBLEM:

A man selling fruit has only three weights, but with them he can weigh any whole number of kilogram from 1 kilogram up to 13 kilograms inclusive on his balance. What weights does he have?

HOW MANY SIDES PROBLEM?

How many sides does a polygon have if its smallest interior angle is 120 degrees and each successive angle is 5 degrees greater than its predecessor?

AT THE RITZ PROBLEM:

The math club of Ritzy High designed a pennant for the school yacht (Yes, the math team has a yacht). The pennant was in the shape of an isosceles triangle. Two points, P and Q are located so that AC=AP=PQ=QB. Find the measure of angle B.

THE ROSE GARDEN PROBLEM:

Tightwad has decided to change his rectangular rose bed into the shape of a right triangle.

*He wants the new bed to have the same area as the old

*He wants the smallest possible perimeter so he won't need a lot of fencing.

*His rectangular rose bed now measures 24 meters by 35 meter.

What dimensions should tightwad use for his triangular rose bed?

EQUAL RIGHTS PROBLEM:

A garden in the shape of a right triangle has sides measuring 60 feet, 80 feet, and 100 feet. A fence runs from the right angle to the hypotenuse and separated the garden into two parts of equal perimeter. Find the length of the fence.

AS THE CROW FLIES PROBLEM:

A cathedral tower 200 feet high is 250 feet from a church that is 150 feet high. At the same instant, two crows, one from each tower, fly off at the same speed heading toward some grain that is on a level straight road located between the towers. The crows reach the grain at the same instant. How far is the grain from the foot of the cathedral tower?

LOONEY TUNES PROBLEM:

One circle is constructed on each side of a right triangle.

* The center of each circles is the midpoint of the side and the side forms a diameter of the circl.

* The area of the triangle is 24 square units.

* Find the total area of the regions of the two smaller circles that lie outside the largest circle.

ALL WET PROBLEM:

A rectangular lawn has an area of 126 square meters. Surrounding the lawn is a flower border 4 meters wide having an area of 264 square meters. A circular sprinkler is installed in the middle of the lawn. What is the spraying radius of the sprinkler if it covers the entire yard (including the flower border)?

A RIVER TOO WIDE PROBLEM:

How wide is the river?

* A bridge across the river is built in the shape of a circular arc.

* The middle of the bridge is ten meters above the water

* Twenty-seven meters from shore, the bridge is nine meters above the water.

thank you soo much!!

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