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two angles are complementary. The sum of the measure of the first and the one-fourth of the second angle is 62.25 degrees find the measures of the angle.
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (there should be a primary and a secondary equation)
A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land.
Similarly, one additional unit will be occupied for each 7 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Discuss the financial implications of gross uncollectibles on the bottom line of the healthcare institution, and explain how these are recorded on the financial statements.
Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
A bankroll contains ten one-dollar bills and five ten-dollar bills. Two of these are stolen and their denomination is unknown. If a bill is chosen at random from those left, what is the probability that it will be a ten-dollar bill?
The Snell law to find the index of refraction
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours.
The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well?
After researching banks to find the best interest rate, you find that Banks for Homeowners offers the best rate of 6% interest that compounds monthly for 30 years.
In an election between two candidates, 480 votes were cast. If the winner recieved 340 more votes than the loser, how many votes did the winner recieve?
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