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Find x if (x\(_4\))\(^2\) = 100100\(_2\)
The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x
The value of (0.03)\(^3\) - (0.02)\(^3\) is
Make T the subject of the equation \(\frac{av}{1 - v}\) = \(\sqrt[3]{\frac{2v + T}{a + 2T}}\)
If (x + 2) and (x - 1) are factors of the expression \(Lx^{3} + 2kx^{2} + 24\), find the values of L and k.
If 0.0000152 x 0.00042 = A x 10\(^{B}\), where 1 \(\leq\) A < 10, find A and B
Given that cos z = L , whrere z is an acute angle, find an expression for \(\frac{\cot z - \csc z}{\sec z + \tan z}\)
In a figure, PQR = 60o, PRS = 90o, RPS = 45o, QR = 8cm. Determine PS
If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled?
If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8, then (M, D) is
TP and TQ are tangents to a circle centre 0, and r is a point on the circumference of the circle as shown in the figure. If angle PTQ = 45º, what is the magnitude of the angle PRO?
In the figure, QRST is a rectangle; PT// QM, angle P = 60o. Find angle MUR