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The figure above represents a semicircular garden that is enclosed by 20 feet of fencing and a straight garden wall. What is the area, in square feet, of the garden?
Circle A has radius 4. Circle B has radius 3. Quantity A $$x$$ Quantity B $$y$$B
If a and b are integers satisfying the equation $$a^{2}$$+$$b^{2}$$=145, which of the following could be the value of a+b? Indicate all such values.
If the sum of the degree measures of the interior angles of regular polygon P is 360 degrees more than that of regular polygon Q, then P has how many more sides than Q?
$$x \gt 0$$ $$y \gt 0$$ Quantity A ($$\sqrt{x}$$)($$\sqrt{y}$$) Quantity B $$\sqrt{x+y}$$
In the xy-plane, points (-4, 0) and point (4, 0) lie on a circle C. Quantity A The radius of circle C Quantity B 4
According to the graph shown,for which of the years 2002-2006 was the percent increase from the preceding year in the annual gross income greater than 6 percent? Indicate all such years.
(3.8$$6^{25}$$) - (0.24$$6^{26}$$) =
The letters in a certain name can be arranged in exactly 180 different orders. Which of the following could be that name?
If xy ≠ 0, which of the following is equivalent to $$y^{-1}=3x^{-1}$$?
Sam purchased two pictures from an artist and sold each of them for $540. If Sam sold one of the pictures for 20 percent more than he paid for it and sold the other picture for 10 percent less than he paid for it, what was Sam's total profit on the two pictures?
The acreage of Hopetown, a town in Lewis County, is equal to 20 percent of the acreage of the region that is in Lewis County but not in Hopetown. Quantity A The acreage of Hopetown as a percent of the entire acreage of Lewis County Quantity B 18%
If $$y=(x-2)(x-1)(x+1)$$, which of the following graphs indicates all of the values of $$x$$ for which $$y$$ is positive?
If N is a positive integer, then the number of prime numbers between N+1 and N+6, inclusive, CANNOT be
A 10-foot long board is parallel to level ground, and the fulcrum supporting it is at the board's midpoint, as shown in the figure above. If the board is tipped, with the fulcrum remaining at the board's midpoint, so that the board's left end just touches the ground, which of the following is closest to the number of feet that the right end of the board is above the ground?
$$0 \lt s \lt t$$ Quantity A $$\frac{s}{t}$$+0.4 Quantity B $$\frac{5s+2t}{5t}$$
The advertised size of a television is the length of the diagonal of the rectangular viewing screen. For a television advertised as 42-inch, if the ratio of the lengths of the sides of the viewing screen is 16 to 9. approximately what is the area, in square inches, of the viewing screen?
If one item is to be randomly selected from the items whose manufacturing cost is greater than $140, what is the probability that the item selected will be one whose manufacturing time is greater than 60 minutes?
In a group of 10 people, exactly 4 are vegetarians. A committee of 3 will be formed by randomly selecting 3 people from the group. How many of the possible 3-member committees would include exactly 2 vegetarian members?
Of the 7 guests at a party, 3 are close friends of the host and 4 are acquaintances of the host. At the end of the party,the host will randomly select 2 different guests to win prizes. What is the probability that both of the prizewinners will be among the 3 close friends of the host?