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Town B is 20km N600W from village A. Town B is 25km 0400 from town C. Village D is
due East of town C and dues...
(Solved)
Town B is 20km N600W from village A. Town B is 25km 0400 from town C. Village D is
due East of town C and dues South of village A
(a) Using a scale 1:500,000 draw a diagram showing a relative position of town B,
town C, village A and village D
(b) Determine
(i) Distance between village A and town C
(ii) Distance between town C and village D
(iii)Compass bearing of town C from village A
(iv) Compass bearing of village D from town
(c) Determine the area enclosed by the diagram in (a) above in hectares
Date posted:
August 22, 2019
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Answers (1)
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The angle of elevation of the top of a flagpole from a point A on a level ground is 130.
(Solved)
The angle of elevation of the top of a flagpole from a point A on a level ground is 130.The angle of elevation of the top of the flagpole from another point B nearer the pole and 12m from A is 300. Find;
a)
i) The height of the flagpole
ii) The distance from point B to the top of the flagpole.
b) Tan 1050= -2- √3 .Determine the value of Tan 150 in surd form.
Date posted:
August 22, 2019
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Answers (1)
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(a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the...
(Solved)
(a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the room is X m long; show that the length of the other side is
b) By leaving a uniform width of ½ m uncovered all round, shs.700 could have been saved. Use this information to form an equation in x and show that it reduces to X2 – 11x + 28 = 0.
c) Solve the equation and hence find the dimensions of the room
Date posted:
August 22, 2019
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Answers (1)
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King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.
(Solved)
King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.If he spends Kshs.1800 on transport, find how much money he saves.
Date posted:
August 22, 2019
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Answers (1)
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A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the...
(Solved)
A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the number formed when the digits are interchanged. Find the number.
Date posted:
August 22, 2019
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Answers (1)
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The figure below shows a circle centre O. Chord AB subtends 300 at the centre.
(Solved)
The figure below shows a circle centre O. Chord AB subtends 300 at the centre. If the area of the minor segment is 5.25cm2, find the radius of the circle.

Date posted:
August 22, 2019
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Answers (1)
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The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the...
(Solved)
The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the triangle.
Date posted:
August 22, 2019
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Answers (1)
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Translation Q is represented by the column vector
(Solved)
Translation Q is represented by the column vector
and another translation R by
the column vector
A point S is mapped onto a point T by Q and a point T is mapped into a point U by R.If point U is (8 , - 4) ,determine the co-ordinates of point S.
Date posted:
August 22, 2019
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Answers (1)
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Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3
(Solved)
Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3
Date posted:
August 22, 2019
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Answers (1)
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The diagram, which is not drawn to scale, shows an isosceles triangle ABC in which AB = AC. The
co-ordinates of A and B are...
(Solved)
The diagram, which is not drawn to scale, shows an isosceles triangle ABC in which AB = AC. The
co-ordinates of A and B are (5, 6) and 0,-4) respectively.

Given that the equation of line BC is y = ¾ x – 4 and that the perpendicular from A to BC meet BC at D, find;
i) The equation of AD
ii) The co-ordinate of D
iii) The co-ordinate of C
iv) The area of the triangle ABC
Date posted:
August 20, 2019
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Answers (1)
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A Nissan matatu left nakuru at 9.10am at an average speed of 56km/h towards eldoret.
(Solved)
A Nissan matatu left nakuru at 9.10am at an average speed of 56km/h towards eldoret. A bus left Eldoret towards Nakuru at 10:10am travelling at an average speed of 70km/h. Given that the distance between Eldoret and Nakuru is 148km.
a) The time at which the matatu will meet the bus.
b) The distance from Eldoret to the meeting point
c) Another saloon car left Eldoret at 10.30am on the same day travelling towards Nakuru. If the car traveled at an average speed of 90km/hr. How long did it take the car to catch up with the bus?
Date posted:
August 20, 2019
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Answers (1)
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A spire stands directly across the street from a building. The angle of depression of the top of the building from the top of the...
(Solved)
A spire stands directly across the street from a building. The angle of depression of the top of the building from the top of the spire is 25.8o and the angle of elevation of the top of the spire from the foot of the building is 43.5o. Given that the distance between the spire and the building is 40m, calculate to 2dp.
a) The height of the spire
b) The difference in height between the spire and the building
c) The height of the building
d) The angle of elevation of the top of the building from the foot of the spire
Date posted:
August 20, 2019
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Answers (1)
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a)Using a ruler and a pair of compasses only construct a rhombus A B C D such that AB = 6cm and o.
(Solved)
a)Using a ruler and a pair of compasses only construct a rhombus A B C D such that AB = 6cm and o.
b) Drop a perpendicular from C to AB extended to meet AB at N. measure BN and CN.
c) Bisect
d) Determine the area o f triangle ABM.
Date posted:
August 20, 2019
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Answers (1)
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Given that tan alpha = 0.75, without using tables or a calculator find cos (180- alpha)
(Solved)
Given that tan alpha = 0.75, without using tables or a calculator find cos (180—alpha)
Date posted:
August 20, 2019
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Answers (1)
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Using a pair of compasses and a ruler only construct a triangle ABC such that AB= 4cm,BC = 6cm and angle ABC = 135°.
(Solved)
Using a pair of compasses and a ruler only construct a triangle ABC such that AB= 4cm,BC = 6cm and angle ABC = 135°.
Date posted:
August 20, 2019
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Answers (1)
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A shirt whose marked price is sh.800 is sold to a customer after allowing him a discount of 13%.
(Solved)
A shirt whose marked price is sh.800 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 20%. Find how much the trader paid for the shirt.
Date posted:
August 20, 2019
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Answers (1)
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Find the perimeter of the figure below. Give your answer correct to four significant figures.
(Solved)
Find the perimeter of the figure below. Give your answer correct to four significant figures.

Date posted:
August 20, 2019
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Answers (1)
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The motion of a particle P moving a long a straight line is described by the equation s = 8t + 10t2 – t3. Where...
(Solved)
The motion of a particle P moving a long a straight line is described by the equation s = 8t + 10t2 – t3. Where s is the distance in metres and t is time in seconds.
Calculate:
(i) The distance when t = 2.5 sec.
(ii) The maximum velocity of the motion
(iii) The acceleration of motion after 3 seconds
(iv) The time at which the velocity is zero
Date posted:
August 20, 2019
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Answers (1)
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The distance between two towns A and B is 460 km. A minibus left town A at 7:15 am and traveled towards B at an...
(Solved)
The distance between two towns A and B is 460 km. A minibus left town A at 7:15 am and traveled towards B at an average speed of 65 km/h.A car left B at 9:45 am on the same day and traveled towards A at an average speed of 100 km/h.
(a) How far from B did they meet?
(b) At what time did the two vehicles meet?
(c) A motorist started from his home at 8:15 am on the same day and traveled to B at an average speed of 120 km/h. He arrived at the same time as the minibus. Calculate the distance from B to his home.
Date posted:
August 20, 2019
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Answers (1)
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An open rectangular box measures externally 32cm long, 27cm wide and 15cm deep. If the box is made of wood 1cm thick, what volume of...
(Solved)
An open rectangular box measures externally 32cm long, 27cm wide and 15cm deep. If the box is made of wood 1cm thick, what volume of wood is used?
Date posted:
August 20, 2019
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Answers (1)