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Question: Ten points in the plane, no three collinear, are given.
(a) How many different line segments are formed by joining pairs of these points?
(b) How many different triangles are formed by the line segments in (a)?
(c) If A is one of the ten points, how many of the triangles in (b) have A as a vertex?
a tree on a hillside casts a shadow 209 ft down a hill. If the angle of incline of the hillside is 22 to the horizontal and the angle of elevation of the sun is 54, find the height of the tree.
Find all points on the curve at which the tangent line is horizontal. Find d2y/dx2 at all points where the tangent line is horizontal.
a laboratory designed a radio telescope with 280 feet and maximum depth of 42 feet. The graph depicts a cross section of this telescope. Fine the equation of the parabola.
Research and discuss the root causes of the recent mortgage crisis. In your discussion, include opinions on:
Write the polynomial equation for the area of the lawn. Use the variable to represent the width of the lawn. Do not use any other variables. Answer: ?
He starts rowing with an angle between North and the direction in which he rows. Find an expression for the time T he will take to get from A to B, in terms of theta.
An ancient Chinese proverb states, "The best time to plant a tree is twenty years ago; the second time is today". How does this relate to becoming an effective teacher of mathematics? (characteristics, habits of thought, skills, and dispositions..
a risk averse person with a von-neumann-morgenstern utility index of u 1ny has a 20 chance that a disaster will reduce
On Mary's 16th birthday, her parents invest on her behalf an amount of $5,000 into an account that pays interest at 3.8% compounded semi-annually.
Identification of the Slope and y-intercept, and x-intercept of the given equation
Mai has 6 1/4 pounds of clay. Each clay figure she makes takes 5/6 pounds of clay. How many clay figures can she make? If she has any clay left over, explain how you can find how many pounds of clay she has left over.
Phyliss opened an IRA on January 31, 1993, with a contribution of $2000. She plans to make a contribution of $2000 thereafter on January 31 of each year.
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