An empty cylindrical tank is 140 cm in diameter. If 200 litres of water was poured into the tank. Calculate, correct to the nearest centimeter, the height of the water in the tank. (\(Take \pi = \frac{22}{7})\)
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2023
make x the subject of the relation \(y = \frac{ax^3 - b}{3z}\)
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2023
m:n = \(2\frac{1}{3} : 1\frac{1}{5}\) and n : q = \(1\frac{1}{2} : 1\frac{1}{3}\), find q : m.
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2023
The radius of a sphere is 3 cm. Find, in terms of π, its volume.
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2023
Find the value of a in the equation: cos (a + 14)° = sin (4a + 6)°
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2023
The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.
(Take \(\pi = \frac{22}{7})\)
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2023
A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find correct to two d.p the actual height of the pole.
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2023
Find the roots of the equations: \(3m^2 - 2m - 65 = 0\)
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2023
If \(log_a 3\) = m and \(log_a 5\) = p, find \(log_a 75\)
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2023
Solve \(2^{5x} \div 2^x = \sqrt[5]{2^{10}}\)
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2023
The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.
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2023
Evaluate, correct to three decimal place \(\frac{4.314 × 0.000056}{0.0067}\)
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2023
Express \(413_7\) to base 5
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2023
For what value of x is \(\frac{ x^2 + 2 }{ 10x^2 - 13x - 3}\) is undefined?.
In the diagram above, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.
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2023
One-third of the sum of two numbers is 12, twice their difference is 12. Find the numbers.
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2023
The angle of elevation of the top of a building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.
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2023
Mr Manu is 4 times as old as his son, Adu. 7 years ago the sum of their ages was 76. How old is Adu?
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2023
There are 30 students in a class. 15 study woodwork and 13 study metal work. 6 study neither of the 2 subjects. How many student study woodwork but not metal work?