In the figure above, PQ is a diameter of cirde O, PR=SQ, and △RST is equilateral. If the length of PQ is 2, what is the length of RT?
In the figure above, the area of the shaded region is
The surface distance between 2 points on the surface of a cube is the length of the shortest path on the surface of the cube that joins the 2 points. If a cube has edges of length 4 centimeters what is the surface distance, in centimeters, between the lower left vertex on its front face and the upper right vertex on its back face?
The shaded region in the figure above represents a rectangular frame with length 18 inches and width 15 inches. The frame encloses a rectangular picture that has the same area as the frame itself. If the length and width of the picture have the same ratio as the length and width of the frame, what is the length of the picture, in inches?
The figure above shows some of the dimensions of a triangular plaza with an L-shaped walk along two of its edges. If the width of the walk is 4 feet and the total area of the plaza and walk together is 10,800 square feet,what is the value of x?
If each side of △ACD above has length 3 and if AB has length 1, what is the area of region BCDE?
The figure above shows the dimensions of a rectangular board that is to be cut into for identical pieces by making cuts at points A, B, and C, as indicated. If x= 45, what is the length AB?
(1 foot=12 inches)
If d=~$\frac{a+b}{1+\frac{ab}{c^2}}$~,a=~$\frac{c}{2}$~ and b=~$\frac{3c}{4}$~,what is the value of d in terms of c?
If kSn is defined to be the product of (n+k)(n-k+1) for all positive integers k and n,which of the following expressions repressents (k+1)Sn+1?
If 2x+5y=8 and 3x=2y,what is the value of 2x+y?
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