Geometry

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, as shown in the diagram below. (See attached file for full problem description with diagrams) (1) A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each d... click for more

Surface Area and Volume

You are part of a panel of parents, teachers, and administrators working to revise the geometry curriculum for the local high school. On tonight's agenda, you will be brainstorming creative ways to teach surface area and volume. The teachers are especially interested in methods which will help the students connect geometry to life in the "real world" because student motivation has sometimes been lacking in this course. What suggestions do you make to the panel during your discussion? Why do you think students would benefit from this idea being used in the classroom? Explain your idea in at least two paragraphs.

Series problem

I got a answer but it didn't make sense here is my question again. A farmer is going to grant a sales man a reward for good work. So, the salesman said, "If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies." As he'd been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved. I NEED TO KNOW THE ANSWER TO EACH AND HOW YOU GOT THE ANSWER because I am not getting it.... 1) How much money would ... click for more

Proofs - Triangles

1- if we have a triangle ABC, then prove that the internal and external bisectors of the angle of a triangle are perpendicular (assume for angle A) 2- prove that given triangle ABC with the altitude from B of the same length as the altitude from C, then the triangle must be isosceles.

Means, Median and Mode

1. Each of the three measures of central tendency-the mean, the median, and the mode-are more appropriate for certain populations than others. For each type of measure, give two additional examples of populations where it would be the most appropriate indication of central tendency. 2. Find the mean, median, and mode of the following data set: 5 15 9 22 67 42 2 72 81 53 6 70 41 9 42 23 3. Sometimes, we can take a weighted approach to calculating the mean. Take our example of high temperatures in July. Suppose it was 98°F on 7 days, 96°F on 14 days, 88°F on 1 day, 100°F on 6 days and 102°F on 3 days. Rather than adding up 31 numbers, we can find the mean by doing the follo... click for more