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- In the figure below, 0 is the centre of the circle. PQ and PR are tangents to the circle at P and R respectively Angle...(Solved)
In the figure below, 0 is the centre of the circle. PQ and PR are tangents to the circle at P and R respectively Angle PQS = 400 and angle PRS 30° RTU is a straight line.
Find with reasons the angles
i) QRS
ii) RTQ
iii) RPQ
iv) Reflex angle QOR
v) TRO given that TR =TQ
Date posted: August 13, 2019. Answers (1)
- The vertices of triangle PQR are P(O,O), Q(6 0) and R(2,4)
a) Plot these points on the grid provided.
b) Triangle P1Q1R1 is the image of a...(Solved)
The vertices of triangle PQR are P(O,O), Q(6 0) and R(2,4)
a) Plot these points on the grid provided.
b) Triangle P1Q1R1 is the image of a triangle PQR under an enlargement scale factor ½ and centre (2,2). Write down the coordinates of triangle P1Q1R1 and plot on the
same grid.
c) Draw triangle P11Q11R11 the image of triangle P1Q1R1 under a positive quarter turn about the point (1,1)
d) Draw a triangle P111Q111R111 the image of triangle P11Q11R11 under reflection in the line y = l.
e).Describe fully a single transformation which maps triangle P11Q11R11 onto triangle P1Q1R1.
Date posted: August 13, 2019. Answers (1)
- The distance between town Manchester and Barcelona is 560 km.A car and a lorry travel from Manchester to Barcelona. The average speed of the Lorry...(Solved)
The distance between town Manchester and Barcelona is 560 km.A car and a lorry travel from Manchester to Barcelona. The average speed of the Lorry is 20 km/h, less than that of the takes the car. The Lorry takes one and a sixth hrs more than the car to travel from Manchester to Barcelona.
a) If the speed of lorry is x km/h, find x.
b) The lorry left Manchester town at 7:15 am. The car left Manchester town later and overtook the lorry at 11:15 am.
i) Calculate the time the car left town Manchester
ii) Distance yet to he covered by y lorry as the car arrives at Barcelona.
Date posted: August 13, 2019. Answers (1)
- Find the co-ordinates of the point Q which divides the line PR in ratio 3 :2 given the co – ordinates of P and R...(Solved)
Find the co-ordinates of the point Q which divides the line PR in ratio 3 :2 given the co – ordinates of P and R are ( 3,-1) and ( 4,3) respectively.
Date posted: August 13, 2019. Answers (1)
- The positions vectors of point A and B are a and b respectively. C is another point with Positions vector c = 3/2 b –...(Solved)
The positions vectors of point A and B are a and b respectively. C is another point with Positions vector c = 3/2 b – ½ a.
Express in terms of a and b
i) Vector AC,AB. Hence show that A,B and C are collinear
ii) Determine the ratio A B:BC
Date posted: August 13, 2019. Answers (1)
- If P,Q and R are the points (2,-4), (4,0) and (1,6) respectively. Use the vector method to find the co-ordinates of points S given that...(Solved)
If P,Q and R are the points (2,-4), (4,0) and (1,6) respectively. Use the vector method to find the co-ordinates of points S given that PQRS is a Parallelogram
Date posted: August 13, 2019. Answers (1)
- A rectangular tank whose internal dimensions are 2.04 m by 1.68 m by 26.4 m is seven – eighth full of milk
a) If the tank...(Solved)
A rectangular tank whose internal dimensions are 2.04 m by 1.68 m by 26.4 m is seven – eighth full of milk
a) If the tank is made of metal of thickness 3mm. Calculate the external volume of
the tank in m3 when closed.
b)i) Calculate the volume of milk in the tank in cubic metres.The milk is to he packed in small packets. Each packet is in the shape of a right- Pyramid on an equilateral triangular base of side 19.2 cm. The height of each packet is 13.6 cm. Full packets obtained are sold at Kshs. 35 Per packet. Calculate; the number of full packets.
ii) The amount of money obtained from the sale of the packets.
Date posted: August 13, 2019. Answers (1)
- Use ruler and a compass only for all constructions in these questions.(Solved)
Use ruler and a compass only for all constructions in these questions.
a) Construct a triangle ABC such that angle BAC=750,AB=7cm and BC= 8cm.
b) Construct a perpendicular from B to meet AC at M. Measure BM and hence calculate the area of triangle AC.
c) Construct a line DE parallels to AC and mid-way between AC and B to meet BM at D. With DM and MC as sides, construct a rectangle DECM
d) A point P lies inside the rectangle and close to M than E. It is also nearer side AC than AB. Shade the region in which P lies.
Date posted: August 13, 2019. Answers (1)
- Ruhu, Toru, and Lwamawa contributed a total of Kshs. 8041950.00 for their jointcampaigns ahead of 2012 general elections. The ratios of their contributions were Ruhuto...(Solved)
Ruhu, Toru, and Lwamawa contributed a total of Kshs. 8041950.00 for their joint campaigns ahead of 2012 general elections. The ratios of their contributions were Ruhu to Toru 5:4 and Lwamawa to Toru 2:3.
a) How much did each contribute?
b) Ruhu further contributed Kshs. 875,000.00 towards the campaigns kitty. in response, Toru and Lwamawa increased their contributions in the ratios 10:9 and 11:6 respectively. How much did Toru and Lwamawa further contribute.
c) The three agreed that if they win elections they would share the 15 cabinet positions amongst them in the ratio of their contributions. How many cabinets positions did Lwamawa get?
Date posted: August 13, 2019. Answers (1)
- The position vector S of points A and B are a and b respectively. Determine the modulus of AB if a = 2i + 4j +...(Solved)
The position vector S of points A and B are a and b respectively. Determine the modulus of AB if a = 2i + 4j + 3k and b= 2i+3j
Date posted: August 13, 2019. Answers (1)
- A submarine sails due North from point A for 170km to a point B. 1 changes its course to N 520 W and sails to...(Solved)
A submarine sails due North from point A for 170 km to a point B. 1 changes its course to N 520 W and sails to a point c If C is N 18° W of A., calculate the distance from C to A.
Date posted: August 13, 2019. Answers (1)
- Deduce the value of tan 54° from this result(Solved)
From a mathematical experiment it was found out that
Deduce the value of tan 54° from this result leaving your answer in the form 
where a, b and c are integers.
Date posted: August 13, 2019. Answers (1)
- A committee of three is to be selected from 5 men and 3 women. If the committee is selected at random, find the probability of...(Solved)
A committee of three is to be selected from 5 men and 3 women. If the committee is selected at random, find the probability of arriving of two men and one woman in the committee.
Date posted: August 13, 2019. Answers (1)
- Find the distance in nautical miles between two places on the northern hemisphere with positions N (60°N, 18°E) and M (60°N, 102°W) along the parallel...(Solved)
Find the distance in nautical miles between two places on the northern hemisphere with positions N (60°N, 18°E) and M (60°N, 102°W) along the parallel of latitude.
Date posted: August 13, 2019. Answers (1)
- Graham’s money-box contains only sh. 5 coins and sh. 10 coins. There are 24 coins and their total value is sh. 150. Find how many...(Solved)
Graham’s money-box contains only sh. 5 coins and sh. 10 coins. There are 24 coins and their total value is sh. 150. Find how many of each kind of coins there are in the box.
Date posted: August 13, 2019. Answers (1)
- The fourth term in (a + x)3 is equal to the third term in (1- 2x)5 for the same values of x when expanded in...(Solved)
The fourth term in (a + x)3 is equal to the third term in (1- 2x)5 for the same values of x when expanded in increasing powers of x . Find the value of x .
Date posted: August 13, 2019. Answers (1)
- In the formula V = pr2h, r is increased by 12% and h decreased by 15%.(Solved)
In the formula V = πr2h, r is increased by 12% and h decreased by 15%. Find the percentage
change in the value of V.
Date posted: August 13, 2019. Answers (1)
- If the area of triangle ABC is 770 cm2, find the area of triangle XYZ. (Solved)
Triangle ABC is the image of triangle XYZ when transformed under the matrix
If the area of triangle ABC is 770 cm2, find the area of triangle XYZ.
Date posted: August 13, 2019. Answers (1)
- Calculate the area of the segment cut off from a circle of radius 10cm by a chord which subtends an angle of 2.1c at the...(Solved)
Calculate the area of the segment cut off from a circle of radius 10cm by a chord which subtends an angle of 2.1c at the centre.
Date posted: August 13, 2019. Answers (1)
- Coordinates of points A and B are (2, -3) and (6, 5) respectively.(Solved)
Coordinates of points A and B are (2, -3) and (6, 5) respectively. Given that N is a point on AB such that the ratio AN:NB = 1:3, find the coordinates of point N.
Date posted: August 13, 2019. Answers (1)