Find the length of the chord that cuts off arc

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Reference no: EM13292493

Question 1:

Show directly without the use of Ptolemy's theorem, that in an isosceles trapezoid, the square on a diagonal is equal to the sum of the product of the two parallel sides plus the square on one of the other sides.

1 Find the length of the chord that cuts off arc of length 5 1/2 in a circle of diameter 33.

2) Prove Proposition 32 of the Maasei Hoshev:

1637_Find the length of the chord.png

3) One of the problems from the MaaseiHoshev: A barrel has various holes: The first hole empties the full barrel in 3 days; the second hole empties the full barrel in 5 days; another hole empties the full barrel in 20 hours; and another hole empties the full barrel in 12 hours. All the holes are opened together. How much time will it take to empty the barrel?

Question 2:

It turns out that in the Balinese calendar, to specify a day, it is sufficient to specify the position of the day in just the five, six, and seven day weeks. Thus, we specify a day by the notation 2029_Find the length of the chord1.png

Find the minimum number of days between the day 2285_Find the length of the chord2.png.

Reference no: EM13292493

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