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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.
The expected future of Achworth, which presently has 2000 residents, can be approximated by the formula y=2000(e).02t , where t is the number of years in the future.
What is the probability that Cass answers all of the questions correctly? What the probability that he answers 3 questions correctly?
Suppose that (a_n) ^ infinity, n=m is a convergent sequence of real numbers. Then (a_n) ^ infinity, n=m is also a Cauchy sequence
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.
One car is selected at random from the cars with vehicle tags from these cities, What is the probability that this car is from Salem?
In a four-factor analysis used in a multifactor evaluation process, it is desired to have the F1 importance weight four times as much as the F2 importance weight.
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
Calculate the amount earned by a principal.
A function y = f(x) whose graph in the xy-plane, when rotated around the x-axis
Make the appropriate test statistics & the rejection of your test.
A company that manufactures bicycles has a fixed cost of $ 100,000. It costs $ 100 to produce each bicycle. The selling price per bike is $ 300.
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