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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:
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
Find the minimum number of days between the day .
A one-story building is 190ft by 31ft. if a square patio with sides 20ft occupies the center of the building, how much area remains for offices
what fraction of the time will the stock increase in price?
determin the annual rate for a car loan from a bank.reduce this rate by 1%.this is r
A storage tank in the shape of a cylinder has a diameter of 24 feet, and the height of the tank is 16 feet. How many gallons of water can the tank hold?
Oil from a ruptured tanker spreads in a circular pattern. If the radius of the circle increases at the constant rate of 1.5 feet per second, how fast is the enclosed area increasing at the end of 2 hours?
In Martian number system, 5 and 8 are the roots of the equation 5X2 - 50X + 125 = 0. Assuming that the number system on Mars developed in the same way as the number system on Earth, how many fingers does a Martian have?
A matrix A is said to be skew-symmetric if A^T = -A. Show that any square matrix can be represented as a sum of a symmetric matrix and a skew-symmetric matrix.
The circumference of a sphere was measured to be 74.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area?
the width of a rectangle is 19 centimeters. Find all possible values for the length of the rectangle is the permitter is at least 404 centimeters.
Ravi rented a truck for one day. There was a base fee of $15.99 , and there was an additional charge of .94 cents for each mile driven. Ravi had to pay $282.95 when he returned the truck. For how many miles did he drive the truck?
How can you determine when a number is not a solution to an inequality? How does this differ from analyzing if a number is a solution to an equation? Is it possible for a number to satisfy both an equation and an inequality?
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
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