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In the diagram above, POQ is a diameter of the circle PQRS. If ∠PSR = 145°, find x°
In triangle XYZ, ∠XYZ = 15o, ∠XZY = 45o and lXYl = 7 cm. Find lYZl.
PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1,q), (3,2), (3,4), (5,2q) respectively, find the value of q
In the diagram above, QR is the diameter of the semicircle QR. Find the area of the figure to the nearest whole number. [\(\pi = \frac{22}{7}\)]
Convert 2232\(_4\) to base six
Simplify \((25)^{\frac{-1}{2}} \times (27)^{\frac{1}{3}} + (121)^{\frac{-1}{2}} \times (625)^{\frac{-1}{4}}\)
Evaluate \(\frac{2}{6-5\sqrt{3}}\)
If (K2)\(_6\) * 3\(_6\) = 3\(_5\)(K4)\(_5\), what is the value of k?
Calculate the logarithm to base 9 of 3\(^{-4}\) x 9\(^2\) x (81)\(^{-1}\)
If m:n = 13:11, find m\(^2\) - n\(^2\) : (m + n)\(^2\)
Evaluate \(\int_{-4}^0(1 - 2x)dx\)
Differentiate (cos θ - sin θ)\(^2\)
Find the value of x for which the function 3x\(^3\) - 9x\(^2\) is minimum