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The angle of elevation of a balloon from an observer A is 30 degrees and from observer B, 45 degrees. If the distance between A and B is 800 + 800√3 meters, how high is the balloon?
Prove the the center of gravity of a lamina in the shape of a parallelogram is at the point of intersection of the diagonals and that it is the same point as the center of gravity of four particles two of mass m at one pair of opposite vertices an..
Four positive numbers, each less than 90, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding.
U.C.L.A. states that at least 40% of the students live on campus. From a sample of 250 students, 90 live on campus. Does this sample provide evidence that fewer than 40% live on campus? Conduct the test with a=0.01.
Determine the best decision, using the following decision criteria.
Find two positive angles and two negative angles between -720° and 1080° that are coterminal with the given angle of 95°.
Prove De Morgan's laws for sets by using set theory arguments
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
The perimeter of rectangle z is equal to its area. Rectangle y has the same perimeter as rectangle z. The length of rectangle y is five inches and the width is three inches. Explain how you can find the length.
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
Calculate the Correlation coefficient, Coefficient of determination and SSE, and the Standard Error of Estimate.
Application of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2
In a survey of 250 dancers, 167 knew the ballroom dances, 140 knew the Latin dances, and 106 knew the swing dances. Of these, 65 knew the ballroom and swing dances
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