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Solve the equation x\(^2\) - 3x - 10 = 0
Convert (\(101.011)_2\) to base 10
Express 0.03785 in standard form correct to 3 significant figures.
A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article
The radius of a sphere is 21cm. If s and v represent the curved surface area and volume respectively, what is s : v? (take π = 3.142)
51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?
The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)
In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.
Find the value of x in the equation: 9\(^x\) = 729
Simplify \(\sqrt{6a^{-2}} \times \sqrt{24a^6}\)
Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour
A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?
If the volume of a cube is (8 x \(10^3\))cm\(^3\), what is the surface area of the cube?
The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.
Find the value of k such that \(t^2\) + kt + \(\frac{25}{4}\) is a perfect square
If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x
If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B}
An arc of a circle subtends an angle of 75° at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take π = 3.142)