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- Three ships P, Q and R are at sea such that ship Q is 400km on a bearing of 030o from ship P. Ship R...(Solved)
Three ships P, Q and R are at sea such that ship Q is 400km on a bearing of 030o from ship P. Ship R is 750km from
ship Q and on a bearing of S60oE from ship Q. Ship Q is 1000km and to the north of an enemy ship S.
a) Taking a scale of 1cm to represent 100km, locate the position of ships P, Q, R and S.
b) Find the compass bearing of :
i) ship P from ship S
ii) ship S from ship R
c) Use the scale drawing to determine
i) the distance of S from P
ii) the distance of R from S
d) Find the bearing of :
i) Q from R
ii) P from R
Date posted: May 9, 2019. Answers (1)
- Line segment AB is given below: Mark point D on line AB produced, such that AD : DB = 7 : -2(Solved)
Line segment AB is given below: Mark point D on line AB produced, such that AD : DB = 7 : -2
Date posted: May 9, 2019. Answers (1)
- A Kenyan bank buys and sells Nigerian neira and Canadian dollar at the following rates.(Solved)
A Kenyan bank buys and sells Nigerian neira and Canadian dollar at the following rates.
Mrs. Emenike, a Nigerian arrived in Kenya with 46,000 neira. She exchanged the whole amount to Kenya shillings and
spent a total of Kenya shillings 720,000. She later changed the remainder to Canadian dollars on her way to Canada.
How much did she receive to 2d.p.
Date posted: May 9, 2019. Answers (1)
- In the figure below, AB is parallel to DE. AB = 10cm, AD = 2cm, BE = 1cm, DC = 3cm.(Solved)
In the figure below, AB is parallel to DE. AB = 10cm, AD = 2cm, BE = 1cm, DC = 3cm.
a) Calculate the lengths of DE and EC.
b) Hence calculate the ratio of the area of DCE : ADEB
Date posted: May 9, 2019. Answers (1)
- Use reciprocal tables to find the reciprocals of 0.4346 and 0.9182.Hence, evaluate
(Solved)
Use reciprocal tables to find the reciprocals of 0.4346 and 0.9182.Hence, evaluate
Date posted: May 9, 2019. Answers (1)
- Two churches have a total of 500 members, the difference between members of the two churches is 200. How many
members are there in each church...(Solved)
Two churches have a total of 500 members, the difference between members of the two churches is 200. How many
members are there in each church ?
Date posted: May 9, 2019. Answers (1)
- The angle of elevation of the top of a tree from a boy’s eye positioned at point A is 20o. The boy moves 100 metres
closer...(Solved)
The angle of elevation of the top of a tree from a boy’s eye positioned at point A is 20o. The boy moves 100 metres
closer to the tree and the angle of elevation becomes 32o. Find the height of the tree. (Disregard the height of the boy)
Date posted: May 9, 2019. Answers (1)
- Write down the three inequalities which define the region R.(Solved)
Write down the three inequalities which define the region R.
Date posted: May 9, 2019. Answers (1)
- The figure below represents a net with a path marked on it, drawn accurately.(Solved)
The figure below represents a net with a path marked on it, drawn accurately.
a) What solid does the net represent?
b) Draw the solid and clearly show the path.
Date posted: May 9, 2019. Answers (1)
- Solve for x and y in the equation.(Solved)
Solve for x and y in the equation.
Date posted: May 9, 2019. Answers (1)
- A line P has its x and y intercept as -2 and -3 respectively.(Solved)
A line P has its x and y intercept as -2 and -3 respectively.
a) Find the gradient of line P.
b) Line Q passes through (5, -2) and is parallel to line P. Write the equation of line Q in the form y = mx + c
Date posted: May 9, 2019. Answers (1)
- The figure below represents a swimming pool. Calculate the volume of the swimming pool in litres.(Solved)
The figure below represents a swimming pool. Calculate the volume of the swimming pool in litres.
Date posted: May 9, 2019. Answers (1)
- Two types of coffee cost sh.250 per kg and sh.200 per kg are mixed so that their masses are in the ratio 3: 5
respectively. Otieno...(Solved)
Two types of coffee cost sh.250 per kg and sh.200 per kg are mixed so that their masses are in the ratio 3: 5
respectively. Otieno sold the mixture at sh.262.50. Calculate his percentage profit.
Date posted: May 9, 2019. Answers (1)
- Two towns A and B are 220km apart. A bus left town A at 11.00a.m and travelled towards town B at 60km/h. At the
same time,...(Solved)
Two towns A and B are 220km apart. A bus left town A at 11.00a.m and travelled towards town B at 60km/h. At the
same time, a matatu left town B for town A and travelled at 80km/h. The matatu stopped for 45 minutes on the way
before meeting the bus. Calculate the distance covered by the bus before meeting the matatu.
Date posted: May 9, 2019. Answers (1)
- Simplify the expression given below(Solved)
Simplify the expression given below
Date posted: May 9, 2019. Answers (1)
- Evaluate the expression below(Solved)
Evaluate the expression below
Date posted: May 9, 2019. Answers (1)
- The figure below represents a solid when is partly a cuboid and partly a right pyramid with rectangular base and
measurements as shown below.(Solved)
The figure below represents a solid when is partly a cuboid and partly a right pyramid with rectangular base and
measurements as shown below.
a) Determine the length AF.
b) Find the vertical height of the pyramid part.
c) Find the angle:
i) HV makes with the base ABCD
ii) HEV makes with the base HGFE.
iii) AF makes with base ABCD
Date posted: May 9, 2019. Answers (1)
- The distance (s) moved by a particle after t (seconds) is given as S=6t² - t³+ 9t metres. Determine(Solved)
The distance (s) moved by a particle after t (seconds) is given as S=6t² - t³+ 9t metres. Determine
i) Displacement after 2 seconds.
ii) The time when the particle is momentarily at rest.
iii) The velocity when t = 5 seconds
Date posted: May 9, 2019. Answers (1)
- The gradient of a curve is given as 6x² + 8x + 5. If the curve passes through (1, 28), determine the equation of the
curve.(Solved)
The gradient of a curve is given as 6x² + 8x + 5. If the curve passes through (1, 28), determine the equation of the
curve.
Date posted: May 9, 2019. Answers (1)
- A triangle ABC has vertices A(2, 1), B(5, 1) and C(4, -2). A1 (4, 1) B1(10, 1) and C1(8, -2) is the image of triangle...(Solved)
A triangle ABC has vertices A(2, 1), B(5, 1) and C(4, -2). A1 (4, 1) B1(10, 1) and C1(8, -2) is the image of triangle ABC
under a given transformation.
a) Determine a single matrix of transformation that maps ABC onto A1B1C1 hence describe fully the matrix of
transformation.
b) A²B²C² is the image of ABC under positive 90° about the origin. Determine the co-ordinates of vertices A²B²C² on the
grid provided.
c) A³B³C³ is the image of A1B1C1 under a transformation given by
. Determine the co-ordinates of the vertices
A³B³C³.
Date posted: May 9, 2019. Answers (1)