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Factorise the expression: 2s2t2 – 5st – 12.
(Solved)
Factorise the expression: 2s2t2 – 5st – 12.
Date posted:
August 20, 2019
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Answers (1)
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A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds.
(Solved)
A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds. Using π as 3.142. Calculate:-
(i) The capacity of the water lost from the tank every hour.
(ii) The time it takes to till a cylindrical tank of radius 30cm and height 30cm into which the leaking water drains; in hours to 4 significant figures.
Date posted:
August 20, 2019
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Answers (1)
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A tank holding 1m3 of water is filled in 10 minutes by a circular pipe of diameter 2cm. Find the speed of water in the pipe.
(Solved)
A tank holding 1m3 of water is filled in 10 minutes by a circular pipe of diameter 2cm.Find the speed of water in the pipe.
Date posted:
August 20, 2019
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Answers (1)
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Simplify the expression:
(Solved)
Simplify the expression:
Date posted:
August 20, 2019
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Answers (1)
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Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0
(Solved)
Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0.
Date posted:
August 20, 2019
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Answers (1)
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The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900.
(Solved)
The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900. (Not drawn to scale).
Determine the area of the plot, in hectares, correct to two decimal places.
Date posted:
August 20, 2019
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Answers (1)
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A minibus covered a distance of 200km at an average speed of 100km/hr.
(Solved)
A minibus covered a distance of 200km at an average speed of 100km/hr. It traveled at a speed of 80km/hr for 3/5 of its journey. At what speed did it travel the remaining part of the journey.
Date posted:
August 20, 2019
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Answers (1)
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A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube...
(Solved)
A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube and 262cm3 is required to fill it at a level of 1cm3 below the top of the tube. Find the radius of the tube and the length of the cylindrical part.
Date posted:
August 20, 2019
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Answers (1)
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In the triangle, AB = 8.5cm, AC = 10cm and ABC = BDC = 900
(Solved)
In the triangle, AB = 8.5cm, AC = 10cm and ABC = BDC = 900.
Calculate:
(i) The length of BC.
(ii) The length of BD.
Date posted:
August 20, 2019
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Answers (1)
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Evaluate:
(Solved)
Evaluate:
Date posted:
August 20, 2019
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Answers (1)
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The figure below shows a frustrum PQRSTUVW of a right pyramid. PQ = 20cm, QR = 15cm,UV = 10cm, UT = 7.5cm and PU =...
(Solved)
The figure below shows a frustum PQRSTUVW of a right pyramid. PQ = 20cm, QR = 15cm,UV = 10cm, UT = 7.5cm and PU = QV = RW = ST = 12cm.
Leave all your answer to 4 s.f.
(a) Find the altitude of the pyramid from which the frustum was cut.
(b) Find the angle between
(i) PW and base PQRS
(ii) PQVU and the base PQRS
Date posted:
August 20, 2019
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Answers (1)
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Solve the pair of simultaneous equations using elimination method.
4x+9y=5
3x+3y=2
(Solved)
Solve the pair of simultaneous equations using elimination method.
4x+9y=5
3x+3y=2
Date posted:
August 20, 2019
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Answers (1)
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Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression leaving your answer in prime factor form.
(Solved)
Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression
leaving your answer in prime factor form.
Date posted:
August 20, 2019
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Answers (1)
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Given 2.421=2a/b. determine the values of a and b.
(Solved)
Given 2.421=2a/b. determine the values of a and b.
Date posted:
August 20, 2019
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Answers (1)
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Find the length of AC in the figure below.
(Solved)
Find the length of AC in the figure below.
Date posted:
August 20, 2019
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Answers (1)
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A circle of radius 4.9cm fits exactly inside a square. Find the area of the space between the circle and the square.
(Solved)
A circle of radius 4.9cm fits exactly inside a square. Find the area of the space between the circle and the square.
Date posted:
August 20, 2019
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Answers (1)
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Express y in terms of x given that:-
10x2 - 9xy + 2y2 = 0
(Solved)
Express y in terms of x given that:-
10x2 - 9xy + 2y2 = 0
Date posted:
August 20, 2019
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Answers (1)
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The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of...
(Solved)
The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of 60km/h. After 1½ hours, a car left town A and traveled along the same road at an average speed of 100km/h.
(a) Determine:
(i) The distance of the bus from town A when the car took off.
(ii) The distance the car traveled to catch up with the bus.
(b) The distance from P to Q is 160km. If an express train was 16km/h slower it would take 20 minutes longer on the journey. Find the average speed of the express train.
Date posted:
August 20, 2019
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Answers (1)
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Use mathematical tables to evaluate
(Solved)
Use mathematical tables to evaluate
Date posted:
August 20, 2019
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Answers (1)
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A transformation represented by the matrix
(Solved)
A transformation represented by the matrix 
maps the points A(0, 0), B(2, 0), C(2, 3) and D(0, 3) of the quad ABCD onto A¹B¹C¹D¹ respectively.
(a) Draw the quadrilateral ABCD and its image A¹B¹C¹D¹.
(b) Hence or otherwise determine the area of A¹B¹C¹D¹.
(c) Another transformation 
maps A¹B¹C¹D¹ onto A¹¹B¹¹C¹¹D¹¹. Draw the image A¹¹B¹¹C¹¹D¹¹.
(d) Determine the single matrix which maps A¹¹B¹¹C¹¹D¹¹ back to ABCD.
Date posted:
August 20, 2019
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Answers (1)