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- From the roof of a house, a boy can see an avocado tree which is 20m away from the house. He measures the angle of...(Solved)
From the roof of a house, a boy can see an avocado tree which is 20m away from the house. He measures the angle of elevation of the top of the tree as 210 and the angle of depression of the bottom of tree as 310. Find the height of the avocado tree.
Date posted: April 25, 2019. Answers (1)
- Find the value of x given that;(Solved)
Date posted: April 25, 2019. Answers (1)
- A particle moves in a straight line from a fixed point. Its velocity Vms¯¹ after t seconds is given by V = 9t² - 4t...(Solved)
A particle moves in a straight line from a fixed point. Its velocity Vmsˉ¹ after t seconds is given by V = 9t² - 4t + 1.
Calculate the distance travelled by the particle during the third second.
Date posted: April 25, 2019. Answers (1)
- In triangle ABC below, angle ABC = 900, angle ACB = 600, angle ADE = 900, AB = 4cm and BC = BE.(Solved)
In triangle ABC below, angle ABC = 900, angle ACB = 600, angle ADE = 900, AB = 4cm and BC = BE.
Calculate:
(a) BC.
(b) CE.
(c) DC.
Date posted: April 25, 2019. Answers (1)
- A map has a scale of 1:25000 on this map; a square piece of land is represented by an area of 2cm². Calculate the
actual area,...(Solved)
A map has a scale of 1:25000 on this map; a square piece of land is represented by an area of 2cm². Calculate the
actual area, in hectares of the plot.
Date posted: April 25, 2019. Answers (1)
- In the figure below lines ABC and DC are tangents to the circle at B and D respectively. Angle ACD = 400 and angle
ABE =...(Solved)
In the figure below lines ABC and DC are tangents to the circle at B and D respectively. Angle ACD = 400 and angle
ABE = 600.
Find the size of angle:
(i) CBD.
(ii) CDE.
(iii) BED.
(iv) ABD.
Date posted: April 25, 2019. Answers (1)
- Make n the subject of the formulae in:(Solved)
Make n the subject of the formulae in:
Date posted: April 25, 2019. Answers (1)
- Find the equation of a perpendicular bisector of line PQ, in the form y = mx + C. If the coordinates of P and Q...(Solved)
Find the equation of a perpendicular bisector of line PQ, in the form y = mx + C. If the coordinates of P and Q are
(-2, 6) and (4, -2) respectively.
Date posted: April 25, 2019. Answers (1)
- The currency exchange rates of a given bank in Kenya are as follows.(Solved)
The currency exchange rates of a given bank in Kenya are as follows.
A tourist arrived in Kenya with 5000US dollars which he converted to Kenya shillings upon arrival. He spent
Ksh.214,500 and converted the remaining to sterling pounds. How many pounds did he receive?
Date posted: April 25, 2019. Answers (1)
- Point B is 30m away from point A at a bearing of 1500. Point C is 25m from A at a bearing of 1200. Find...(Solved)
Point B is 30m away from point A at a bearing of 1500. Point C is 25m from A at a bearing of 1200. Find how far C is from B.
Date posted: April 25, 2019. Answers (1)
- The figure below shows a circle centre O diameter 7cm. Angle POQ = 1440.(Solved)
The figure below shows a circle centre O diameter 7cm. Angle POQ = 1440
Date posted: April 25, 2019. Answers (1)
- A point P has the coordinates (1, 2, 3).(Solved)
A point P has the coordinates (1, 2, 3).
(a) the coordinates of point Q.
(b) the modulus of vector PQ.
Date posted: April 25, 2019. Answers (1)
- Use tables of square roots and reciprocals tables to evaluate:(Solved)
Use tables of square roots and reciprocals tables to evaluate:
Date posted: April 25, 2019. Answers (1)
- Solve the equation(Solved)
Solve the equation
Date posted: April 25, 2019. Answers (1)
- Reduce the following expression into a single fraction(Solved)
Reduce the following expression into a single fraction.
Date posted: April 25, 2019. Answers (1)
- Evaluate without using Mathematical tables or the calculator.(Solved)
Evaluate without using Mathematical tables or the calculator.
Date posted: April 25, 2019. Answers (1)
- The cost C, of producing n items varies partly as n and partly as the inverse of n.
To produce two items it cost 50Sh and...(Solved)
The cost C, of producing n items varies partly as n and partly as the inverse of n.
To produce two items it cost 50Sh and to produce six items it costs 70Sh.
Find;
(a) the constants of proportionality and hence write the equation connecting C and n.
(b) the cost of producing 12 items.
(c) the number of items produced at a cost of 106Sh.
Date posted: April 25, 2019. Answers (1)
- The diagram below shows a histogram marks obtained in a certain test.(Solved)
The diagram below shows a histogram marks obtained in a certain test.
(a) Develop a frequency distribution table for the data if the first class 5-9 has a frequency of 8.
(b) Estimate the mean.
(c) Calculate interquatile range.
Date posted: April 25, 2019. Answers (1)
- The diagram below shows a right pyramid VPQRS with V as the vertex and a rectangular base PQRS. PQ = 3cm, QR =4cm. The height...(Solved)
The diagram below shows a right pyramid VPQRS with V as the vertex and a rectangular base PQRS. PQ = 3cm, QR =4cm. The height of the pyramid is 6cm.PM = MQ and OQ = NR.
(a) Calculate.
(i) the length PV.
(ii) the angle between face VPQ and the base.
(b) (i) the slant height VM and VN.
(ii) What is the surface area of the pyramid?
Date posted: April 25, 2019. Answers (1)
- In the figure below AOC is a diameter of the circle centre O. AB = BC and Angle ACD = 350, EBF is a tangent...(Solved)
In the figure below AOC is a diameter of the circle centre O. AB = BC and Angle ACD = 350, EBF is a tangent to the circle at B. G is a point on minor arc CD.
Calculate the size of the following angles giving reasons in each case.
(a) Angle BCD.
(b) Obtuse angle BOD.
(c) Angle BAD.
(d) Angle CGD.
(e) Angle AEB.
Date posted: April 25, 2019. Answers (1)