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If N varies directly as M and N = 8 when M = 20 find M when N = 7
In a class of 80 students, every students studies Economics or Geography or both. If 65 students study Economics and 50 study Geography, how many study both subjects?
Evaluate \(log_{10}5 + log_{10}20\)
Evaluate \((20_{three})^2 - (11_{three})^2\) in base three
Which of the following correctly expresses 48 as a product of prime factors?
If the simple interest on N2000 after 9 months is N60, at what rate per annum is the interest charged?
Solve the equation 3 + 5x - 2x\(^2\) = 0
Find the volume (in cm\(^3\)) of the solid shown above
The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]
In the diagram, |PQ| = |PS| Which of the following statements is true?
The arc of a circle 50 cm long, subtends angle of 75° at the center of the circle. Find correct to 3 significant figures, the radius of the circle. Take \(\pi = \frac{22}{7}\)
The length of the parallel sides of a trapezium are 5cm and 7cm. If its area is 120cm\(^2\), find the perpendicular distance between the parallel sides
A tap leaks at the rate of 2cm\(^3\) per seconds. How long will it take the tap to fill a container of 45 liters capacity? (1 liters = 1000cm\(^3\))
The height of a pyramid on square base is 15cm. if the volume is 80cm^3, find the area of the square base.
A bicycle wheel of radius 42cm is rolled over a distance 66 meters. How many revolutions does it make?[Take \(\pi = \frac{22}{7}\)]
In the diagram, PQS is a circle with center O. RST is a tangent at S and ∠SOP = 96o. Find ∠PST
Given that p varies directly as q while q varies inversely as r, which of the following statements is true?
Find the value of x such that the expression \(\frac{1}{x}+\frac{4}{3x}-\frac{5}{6x}+1\) equals zero
Solve the equation \(3y^2\) = 27y
Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)