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- The triangle ABC below is such that AB = b and AC=c. M is on AB such that 3AM = AB and N is on...(Solved)
The triangle ABC below is such that AB = b and AC=c. M is on AB such that 3AM = AB and N is on AC such that AC: NC= 4 : 1
a) Write the following in terms of b and c
i) BC
ii)MN
iii)BN
b) Given further that BC produced intersects MN produced at L and ML = hMN while BL = kBC where h and k are
constants write ML in two ways hence find the values of h and k.
c) Show the M, N and L are collinear.
Date posted: May 9, 2019. Answers (1)
- a) Sketch the curve y = -2x² - 4x + 6 (Solved)
a) Sketch the curve y = -2x² - 4x + 6
b) Use trapezium rule taking intervals of 0.5 units to find the area under the curve.
y = -2x² - 4x + 6 within the range -2 ≤ x ≤ 4.
c) Obtain the exact area in (b) above hence calculate the percentage error introduced by using the Trapezium rule.
Date posted: May 9, 2019. Answers (1)
- A solid cylinder has a radius of 21cm and a height of 18cm. A conical hole of radius r is drilled in the cylinder on...(Solved)
A solid cylinder has a radius of 21cm and a height of 18cm. A conical hole of radius r is drilled in the cylinder on one
of the end faces. The conical hole is 12cm deep. If the material removed from the hole is 22/3 % of the volume of the
cylinder, find : (Use pi = 22/7)
a) the surface area of the hole.
b) the radius of a spherical balls made out of the material.
c) the surface area of the spherical ball.
Date posted: May 9, 2019. Answers (1)
- A bus left Nairobi at 7.00 am and travelled towards Eldoret at an average speed of 80km/hr. At 7.45am a car left
Eldoret towards Nairobi at...(Solved)
A bus left Nairobi at 7.00 am and travelled towards Eldoret at an average speed of 80km/hr. At 7.45am a car left
Eldoret towards Nairobi at an average speed of 120km/hr. The distance between Nairobi and Eldoret is 300km.
Calculate
a) the time the bus arrived at Eldoret.
b) the time of the day the two met
c) the distance from Nairobi where the two met.
d) the distance of the bus from Eldoret when the car arrived at Nairobi.
Date posted: May 9, 2019. Answers (1)
- A boat at point X is 200m to the south of point Y. The boat sails from X to another point Z. Point Z is...(Solved)
A boat at point X is 200m to the south of point Y. The boat sails from X to another point Z. Point Z is 200m on a
bearing of 310° from X. Point X, Y and Z are on the same horizontal plane.
a) Calculate the bearing and distance of Z from Y.
b) W is the point on the path of the boat nearest to point Y. Calculate the distance WY.
c) A vertical tower stands at point Y. The angle of depression of point x from the top of the tower is 6°. Calculate the
angle of elevation of the top of the tower from point W.
Date posted: May 8, 2019. Answers (1)
- Below is a quadrilateral inscribed in a circle of centre O and radius 6cm. Angle CDE = 60°(Solved)
Below is a quadrilateral inscribed in a circle of centre O and radius 6cm. Angle CDE = 60°
a) Giving reasons find.
i) Angle ABC
ii) Angle CAO
iii) Angle ACD given angle CAD = 20°
b) Find the area of the major segment subtended by the major arc ABC (Use pi =3.142)
Date posted: May 8, 2019. Answers (1)
- The table below shows the distribution of marks scored by 100 candidates in an examination.(Solved)
The table below shows the distribution of marks scored by 100 candidates in an examination.
a) Find k.
b) Using an assumed mean of 44.5 calculate.
i) The mean
ii) The standard deviation.
c) Calculate the median
Date posted: May 8, 2019. Answers (1)
- The football team in school decided to raise shs 3600 for a party. Each student was to contribute the same amount.
However before the contributions were...(Solved)
The football team in school decided to raise shs 3600 for a party. Each student was to contribute the same amount.
However before the contributions were made five members of the football team decided to transfer to other schools.
This meant that the remaining contributors had to pay more to meet the same target.
a) If the increase in contribution per student was shs 24. Taking the original number of footballers to be n
i) Give an expression for the initial amount that each should have contributed.
ii) Give an expression for the contribution after the transfer.
iii) Form an equation hence find the number of members in the football team originally
b) Calculate the percentage increase in the contribution per student caused by the transfer.
Date posted: May 8, 2019. Answers (1)
- The figure below shows a sketch of a plot of land showing the baseline XY =300m and offsets drawn against it. If all
measurements are in...(Solved)
The figure below shows a sketch of a plot of land showing the baseline XY =300m and offsets drawn against it. If all
measurements are in metres. Transfer the information on the sketch to field book (all measurements are in metres.
Date posted: May 8, 2019. Answers (1)
- Given the vectors a = 6i + 8j,b = 3i - 9j and c = 4i + j
Find the value of h and k such...(Solved)
Given the vectors a = 6i + 8j,b = 3i - 9j and c = 4i + j
Find the value of h and k such that ha + kb = c.
Date posted: May 8, 2019. Answers (1)
- A flower garden is in the form of the trapezium shown below. Find the area of the garden in m²(Solved)
A flower garden is in the form of the trapezium shown below. Find the area of the garden in m²
Date posted: May 8, 2019. Answers (1)
- The diagram below shows an open cuboid. Find the distance between points C and X on the surface of the net if t he
cuboids is...(Solved)
The diagram below shows an open cuboid. Find the distance between points C and X on the surface of the net if t he
cuboids is opened up into a net by cutting along BC, HF, GE and AD given the GX is 6cm.
Date posted: May 8, 2019. Answers (1)
- Find the equation of a line passing through (2, -3) and is perpendicular to the line 4y - 6x + 5 = 0(Solved)
Find the equation of a line passing through (2, -3) and is perpendicular to the line 4y - 6x + 5 = 0
Date posted: May 8, 2019. Answers (1)
- Working together two taps A and B can fill a tank in 6 hours. By itself tap A can fill the tank in 8 hrs.(Solved)
Working together two taps A and B can fill a tank in 6 hours. By itself tap A can fill the tank in 8 hrs.
a) How long can tap B take to fill the tank by itself.
b) Tap A and B are opened at the same time and after running for 2 hours, an outlet tap which can drain the full tank
by itself in 12 hours is opened. How much longer will it take the tank to be filled.
Date posted: May 8, 2019. Answers (1)
- Use reciprocal and square root tables to evaluate to 4 significant figures, the expression.(Solved)
Use reciprocal and square root tables to evaluate to 4 significant figures, the expression.
Date posted: May 8, 2019. Answers (1)
- A translation T maps P(5, 3) onto P1(2, -5). Find the length of P1R1if point R1 is the image of
R(-2, -3) under the same translation...(Solved)
A translation T maps P(5, 3) onto P1(2, -5). Find the length of P1R1if point R1 is the image of
R(-2, -3) under the same translation T.
Date posted: May 8, 2019. Answers (1)
- Half of the interior angles of an irregular hexagon are in the ratio 2 : 3 : 4, while the other half are in the...(Solved)
Half of the interior angles of an irregular hexagon are in the ratio 2 : 3 : 4, while the other half are in the ratio 4 : 3 : 5 .
List the interior angles of the hexagon.
Date posted: May 8, 2019. Answers (1)
- Solve the simultaneous equations:(Solved)
Solve the simultaneous equations:
Date posted: May 8, 2019. Answers (1)
- A trader imported a camera for which she paid import duty at 40% of the purchase price. She later sold it to a
customer giving 8%...(Solved)
A trader imported a camera for which she paid import duty at 40% of the purchase price. She later sold it to a
customer giving 8% discount. If the customer paid shs 18,032 for the camera, find the purchase price.
Date posted: May 8, 2019. Answers (1)
- Solve for b in the equation(Solved)
Solve for b in the equation
Date posted: May 8, 2019. Answers (1)