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Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\)
If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)
The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary.
Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years.
A school boy lying on the ground 30m away from the foot of a water tank towel observes that the angle of elevation of the top of the tank is 60\(^o\). Calculate the height of the tank.
Express the product of 0.0014 and 0.011 in standard form
The equation of the line in the graph is
A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.
Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13
If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x.
Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
Find the gradient of the line passing through the points (-2, 0) and (0, -4)
In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS
A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle?
What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?
The angle of a sector of a circle radius 10.5 cm is 48\(^o\). Calculate the perimeter of the sector.
In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represent meat in a pie chart?
Simplify \(\frac{324 - 4x^2}{2x + 18}\)
If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, eventually without using the logarithm tables, log\(_{10}\)4.5
In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12\(^o\). How many students are offering physics?