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How many diagonals does a convex polygon with n sides have? (Recall that a polygon is convex if every line segment connecting two points in the interior or boundary of the polygon lies entirely within this set and that a diagonal of a polygon is a line segment connecting two vertices that are not adjacent.)
Describe your analysis as per the statistical analysis section of a journal's methodology and perform your analysis and then write-up in the style of a journal's results section
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.
The probability of two independent events occurring together equals the product of each of the individual event probabilities.
An analysis of temperature records for Sydney, Australia, indicates that the average daily temperature (in° C) during the year is given approximately by
lee is explainig the lesson on minimum perimeters to greg. he says to construct a rectangle with the lowest possible
use newtons second law of motion to establish a DE satisfied by the velocity v(t) with is a first order initial value problem
Find the equation of the line through the point (-1, 3), having a slope equal to 3/7. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5.
in the country of Gilpin, an individual pays 20% tax on gross annual income not exceeding $200,000. For every dollar on the next $300,000 the tax is 25%. Any income in excess of this is taxed at 30 cents in the dollar. Write an expression showing ..
If an object is dropped from a height of 50 feet, the function d = -16t^2 + 50 gives the height of the object after t seconds. what does the input value of the function represent? what does the output value of this function represent?
In the year 1 A.D., there were an estimated 200 million people on Earth. In 2010 A.D., there are an estimated 6.8 billion people on Earth. What is the average rate of growth per year over that span? Give the number only. (Round to the nearest whol..
A chemist needs 190 milliliters of a 64% solution but has only 52% and 71% solutions available. How many milliliters of each should be mixed to obtain the desired solution?
Calculate Clayton's profit margin and debt ratio.
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