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The resistance to the motion of a car is partly constant and partly varies as the square of the speed.
(Solved)
The resistance to the motion of a car is partly constant and partly varies as the square of the speed. At
40km/h-1 the resistance and at 60kmh-1 it is 730N. What will be the resistance at 70kmh-1?
Date posted:
September 4, 2019
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Answers (1)
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Solve for x and y in the simultaneous equations given below
(Solved)
Solve for x and y in the simultaneous equations given below
21x-12y=-29
12x+5y=19
Date posted:
September 4, 2019
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Answers (1)
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A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0.
(Solved)
A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0. If 5x+7y-k=0 passes through the point (4,3). Determine the values of A and K
Date posted:
September 4, 2019
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Answers (1)
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Two circles of radii 3.5cm and 4.2cm with centres O1 and O1 respectively intersect at points A and B as shown in the figure below.
(Solved)
Two circles of radii 3.5cm and 4.2cm with centres O1 and O2 respectively intersect at points A and B as shown in the figure below. The distance of the centres is 6cm.

Calculate
(a) angle AO1B to the nearest degree
(b) angle AO2B to the nearest degree
(c) Area of the quadrilateral O1AO2B, correct to 2 decimal places.
(d) The shaded area correct to two significant figures.(Take π =22/7)
Date posted:
September 3, 2019
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Answers (1)
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The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone.
(Solved)
The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone. The frustrum represents a bucket with the open-end diameter of 28cm and the bottom diameter of 21cm. The bucket is 20cm deep. Calculate to 1 decimal place, the capacity of the bucket in litres.

Date posted:
September 3, 2019
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Answers (1)
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The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere.
(Solved)
(a)The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. The height h of the cone is twice the radius r. if the volume of the solid is 36cm3, find the radius of the hemisphere.

(b) The solid is totally immersed in water contained in a cylindrical tin of radius 9cm. through what height does the water level in the tin rise.
(c) The solid is melted and recast into a right pyramid of vertical height 4.2cm. Find the base area of the pyramid.
(d) If the solid is of mass 14.4g. Find its density in kg/m3.
Date posted:
September 3, 2019
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Answers (1)
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Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E.
(Solved)
Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E. D is due west of E on a bearing of 340o from E. A is due North of E on a bearing of 045o from D. C is on a bearing of 250o from B and due North of E.
(a) Make a scale drawing showing the positions of the five towns.(Use a scale of 1cm to represent 1km)
(b) Use your drawing to determine;
(i) the bearing and distance of B from A.
(ii) the bearing and distance of C from D.
(iii) the distance between A and E.
Date posted:
September 3, 2019
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Answers (1)
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A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk.
(Solved)
A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. If he
sold the mixture at Ksh.18 per litre, what was the percentage profit.
Date posted:
September 3, 2019
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Answers (1)
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Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm.
(Solved)
Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm.
Date posted:
September 3, 2019
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Answers (1)
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The table below shows monthly income tax rates.
(Solved)
The table below shows monthly income tax rates.

Mrs. Wanjala earns a monthly salary of Ksh.15,000 and a taxable travel allowance of Ksh. 5,000 per month. She is also provided with a house by the institution for which she pays a nominal rent of Ksh.1000 per month.
(a) Calculate the employees taxable income every month.
(b) Calculate the employees monthly total tax payable
(c) If the employee is entitled to a personal relief of Ksh.900 per month and a non taxable medical
allowance of Ksh.2,000. Calculate her net monthly income.
Date posted:
September 2, 2019
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Answers (1)
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A solid is partly a cone and partly a hemisphere. The radius of the hemisphere is 5cm.
(Solved)
A solid is partly a cone and partly a hemisphere. The radius of the hemisphere is 5cm. the height of the solid is 17cm. Determine:
(a) The volume of the cone.
(b) The volume of the hemispherical part.
(c) The volume of the solid.
(d) The curved surface area of the cone.
(e) The curved surface area of the hemisphere.
(f) The total surface area of the solid.
Date posted:
September 2, 2019
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Answers (1)
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The diagram below shows a histogram representing marks obtained in a certain test.
(Solved)
The diagram below shows a histogram representing marks obtained in a certain test. Develop a frequency distribution table.

Date posted:
September 2, 2019
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Answers (1)
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The figure below is a cut out net of a wedge. Find its volume.
(Solved)
The figure below is a cut out net of a wedge. Find its volume.

Date posted:
September 2, 2019
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Answers (1)
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Two beakers of exactly similar shape can hold 250ml and 200ml of liquid respectively. If the surface area of the larger beaker is 400cm2, calculate...
(Solved)
Two beakers of exactly similar shape can hold 250ml and 200ml of liquid respectively. If the surface area of the larger beaker is 400cm2, calculate the surface area of the smaller one.
Date posted:
September 2, 2019
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Answers (1)
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A straight line passing through the point (-3,4) is perpendicular to the line whose equation is 2y-3x=11 and intersects the x-axis and y-axis at points...
(Solved)
A straight line passing through the point (-3,4) is perpendicular to the line whose equation is 2y-3x=11 and intersects the x-axis and y-axis at points P and Q respectively. Find P.
Date posted:
September 2, 2019
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Answers (1)
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A (50°S,20°E) and B(50°S,60°W) are two points on the earth’s surface. Calculate the distance between A and B in kilometer along the great circle. (take...
(Solved)
A (50°S,20°E) and B(50°S,60°W) are two points on the earth’s surface. Calculate the distance between A and B in kilometer along the great circle. (take radius of the earth to be 6370km).
Date posted:
August 30, 2019
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Answers (1)
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A contractor employs 40 men to do a piece of work in 60 days each man working 9 hours a day. He is then requested...
(Solved)
A contractor employs 40 men to do a piece of work in 60 days each man working 9 hours a day. He is then requested to do the job in 48days. How many more men working l0 hours a day does he need to employ.
Date posted:
August 30, 2019
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Answers (1)
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Make P the subject of the formula given.
(Solved)
Make P the subject of the formula given.

Date posted:
August 30, 2019
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Answers (1)
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The data below shows marks scored by 8 form four students in Ikutha district mathematics contest 44,32,67. 52, 28, 39, 46, 64.Calculate the mean absolute...
(Solved)
The data below shows marks scored by 8 form four students in Ikutha district mathematics contest 44,32,67. 52, 28, 39, 46, 64.Calculate the mean absolute deviation.
Date posted:
August 30, 2019
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Answers (1)
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Write in the simplest form using a rational denominator.
(Solved)
Write in the simplest form using a rational denominator.

Date posted:
August 30, 2019
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Answers (1)