Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].
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98 questionsTwo ships on the equator are on longitudes 45oW and 45oE respectively. How far are they apart along the equator, correct to 2 significant figures? (Take the radius of earth = 6400km and π = 22/7)
A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)
The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.
Solve the equation log8x - 4log8x = 2
Factorise: 6x\(^2\) + 7xy - 5y\(^2\)
Which of the following is a root of the equation x\(^2\) +6x = 0?
Find the quadratic equation whose roots are 3 and \(\frac{2}{3}\).
Which of the following is not a factors of 2p\(^2\) - 2?
Which of the following equations can be solved by the points of intersection P and Q of the curve and the line PQ?
What is the equation of the line PQ?
If x is positive, for what range of values of x is 4 + 3x < 10?
For what value of x is the expression \(\frac{x^2 + 15x + 50}{x - 5}\) not defined ?
If 8x- 4 = 6x- 10, find the value of 5x,
Which of the following is a point on the curve y = x\(^2\) - 4x + 7?
Given that 2p - m = 6 and 2p + 4m = 1, find the value of (4p + 3m).
E = (integers \(\leq\) 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P'∩Q?
The sum of the 1st and 2nd terms of an A.P. is 4 and the 10th term is 19. Find the sum of the 5th and 6th terms.
A string is 4.8m. A boy measured it to be 4.95m. Find the percentage error.