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Two fire towers are 30 kilometers apart, where tower A is due west of tower B. A fire is spotted from the towers, and the bearings from A and B are N 76 degrees E and N 56 degrees W, respectively. Find the distance d of the fire from the line segment AB.
What is the probability that a single, randomly selected piece of material will be defective? (Give the answer to two decimal places.)
Calculate the operating cost and probability values
A student thinks of a polynomial p(x) of arbitrary degree, and non-negative integer coefficients. How can you determine the student's polynomial by asking for two values of her polynomial
Show that every subfield of complex numbers contains rational numbers. Show that the prime field of real numbers is rational numbers. Show that the prime field of complex numbers is rational numbers
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t - 1.86t2. (Round all numbers to two decimal places.)
How many ways can we order a deck of 52 cards so that all the heats are together, all the clubs are together, all the diamonds are together and all the spades are together?
Lisa has a basketball court that is 30 feet long and has a perimeter of 106 feet. How wide is the court?
Find the critical points of the following functions and determine whether they are local maximums, minimums or otherwise using the second derivative test.
Probability questions
Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
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