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Q1) The diagonal of a rectangle is 25 meters long and makes an angle of 36 degree with one side of the rectangle. Find the area and the perimeter of the rectangle.
Q2) A side of a square is 16 inches. The midpoints of its sides are joined to form an inscribed square. Another is drawn in such a way that its vertices would lie also at the midpoints of the sides of the second square. This process is continued infinitely. Find the sum of the areas of these infinite squares.
Q3) A rectangle and a square have the same area. If the length of the side of the square is 6 units and the longest side of the rectangle is 5 more than the measure of the shorter side. Find the dimensions of the rectangle.
Q4) Find the height of a parallelogram having sides 10 and 20 inches, and an included angle of 35 degree. Also, calculate the area of the figure.
Q5) A certain city block is in the form of a parallelogram. Two of its sides measure 32 ft. and 41 ft. If the area of the land in the block is 656 square feet, what is the length of its longer diagonal?
A study conducted at a certain college shows that 63% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her ..
pre- study scores versus post- study scores for a class of 120 college freshman english students were considerated. the
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
If the data for both tests are normally distributed, on which test did the student score better? Show the use of a formula.
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
The form of augmented matrices.
Balls are drawn from a box containing m white and n black balls until a white ball appears. How many balls in average do we anticipate to draw until we find the first white ball?
explain the mathematical relationship between fracturing and earth
The purchasing power of a dollar is decreasing at the rate of 7.3% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $0.42? Round answers to the nearest hundredth.
State the following, giving the domain for each function using set notation - set of natural numbers
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will..
Jose borrowed $12,000 for 140 days at 10 1/2% to add a hot tub and enclosure to his home. Find the interest and the maturity level.
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