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For what values of y is \(\frac{y + 2}{8y^2 - 10y + 3}\) not defined?
The fourth and eighth terms of an Arithmetic Progression are 16 and 40 respectively. Find the common difference.
Find the range of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, and 25.
Which of the following points lies on the line 3x - 8y = 11?
The probability that Amaka will pass an examination is \(\frac{3}{7}\) and that Bala will pass is \(\frac{4}{9}\). Find the probability that both will pass the examination.
In the diagram \(\overline{TU}\) is a tangent to the circle SPQR at P. If \(\angle\)PTS = 44º, \(\angle\)SQP = 35º, find \(\angle\)PST
A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.
The area of a sector of a circle with radius 7cm is 51.3 cm\(^2\). Calculate, correct to the nearest whole number, the angle of the sector. (Take \(\pi\) = \(\frac{22}{7}\))
A die is tossed once. Find the probability of getting a prime number.
Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x - 7) m, find in m\(^2\), the area of the rectangle.
The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the variance of the distribution.
The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the mean mass.
Find the value of x in the diagram above.
Four of the angles of a hexagon sum up to 420º. If the remaining angles are equal, find the value of each of the angles.
The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.
In the diagram above, \(\overline{PQ}\) || \(\overline{RS}\), \(\angle\)WYZ = 44º and \(\angle\)WXY = 50º. Find \(\angle\)WTX
The gradient of the line joining the points P(2, -8) and Q(1, y) is -4. Find the value of y
Find, correct to the nearest whole number, the value of h in the diagram above.
A cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to that of the cone?
In the diagram above, JKL is a tangent to the circle GHIK at K. Find the value of the angle marked x