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- Two friends Jane and Tom live 40km apart. One day Jane left her house at 9.00am and cycled towards Tom’s house at an average speed...(Solved)
Two friends Jane and Tom live 40km apart. One day Jane left her house at 9.00am and cycled towards Tom’s house at an average speed of 15km/hr. Tom left at 10.30am on the same day and cycled towards Jane’s house at an average speed of 25km/hr.
a) Determine;
i) The distance from Jane’s house, where the two friends met.
ii) The time they met.
iii) How far Jane was from Tom’s house when they met?
b) The two friends took 10 minutes at the meeting point and they cycled to Tom’s house at an average speed of 12km/hr. Find the time they arrived at Tom’s house.
Date posted: August 13, 2019. Answers (1)
- The figure below shows a glass in form of a frustrum of a cone whose top and bottom diameter of 7cm and 3.5cm respectively. Its depth...(Solved)
The figure below shows a glass in form of a frustrum of a cone whose top and bottom diameter of 7cm and 3.5cm respectively. Its depth is 10cm.
Calculate;
a) Its total surface area.
b) Its capacity.
Date posted: August 13, 2019. Answers (1)
- Determine the obtuse angle made by line 3x – 2y = 6 and x-axis.(Solved)
Determine the obtuse angle made by line 3x – 2y = 6 and x-axis.
Date posted: August 13, 2019. Answers (1)
- In the figure below (not drawn to scale) has points P, Q, R and S on the circumference of the circlecentre O, such that PQ...(Solved)
In the figure below (not drawn to scale) has points P, Q, R and S on the circumference of the circle centre O, such that PQ is parallel to SR and angle SRQ = 125o.
Determine the size of angle:-
a) QOS obtuse
b) QPS
c) SQR
Date posted: August 13, 2019. Answers (1)
- A train moving 20 m/s takes 15 seconds to completely cross a bridge which is 30 metres long. What is the length of train in metres?(Solved)
A train moving 20 m/s takes 15 seconds to completely cross a bridge which is 30 metres long. What is the length of train in metres?
Date posted: August 13, 2019. Answers (1)
- Simplify the expression below(Solved)
Simplify the expression below
Date posted: August 13, 2019. Answers (1)
- Write down the inequalities that satisfy the unshaded region R shown in the figure below.(Solved)
Write down the inequalities that satisfy the unshaded region R shown in the figure below.
Date posted: August 13, 2019. Answers (1)
- The midpoint of a vector PQ whose P (1, -4) and Q (x, y) is (-2, 5).
a) Find the values of x and y.
b) Calculate...(Solved)
The midpoint of a vector PQ whose P (1, -4) and Q (x, y) is (-2, 5).
a) Find the values of x and y.
b) Calculate the length of PQ to 4 s.f
Date posted: August 13, 2019. Answers (1)
- Solve for x in the logarithm equation.
log (3x – 4) – log (3 – x) = 1(Solved)
Solve for x in the logarithm equation.
log (3x – 4) – log (3 – x) = 1
Date posted: August 13, 2019. Answers (1)
- A positive two digit number is such that the product of the digits is 24. When the digits are reversed, the number formed is greater...(Solved)
A positive two digit number is such that the product of the digits is 24. When the digits are reversed, the number formed is greater than original number by 18. Find the number.
Date posted: August 13, 2019. Answers (1)
- Using tables of reciprocals, find the value of M if;(Solved)
Using tables of reciprocals, find the value of M if;
Date posted: August 13, 2019. Answers (1)
- Simplify the expression below(Solved)
Simplify the expression below
Date posted: August 13, 2019. Answers (1)
- The surface area of two cylindrical water tanks are 50m2 and 162m2 respectively. Given that the volume of water in the second tank is 36450m3,...(Solved)
The surface area of two cylindrical water tanks are 50m2 and 162m2 respectively. Given that the volume of water in the second tank is 36450m3, find the volume of water in the first tank if it’s half full.
Date posted: August 13, 2019. Answers (1)
- A line passing through points P (4, a) and Q (3, 2) is perpendicular to the line 3y + x + 3 = 0. Find...(Solved)
A line passing through points P (4, a) and Q (3, 2) is perpendicular to the line 3y + x + 3 = 0. Find the value of a and write down equation of line PQ.
Date posted: August 13, 2019. Answers (1)
- Use a calculator or otherwise to evaluate,(Solved)
Use a calculator or otherwise to evaluate,
Date posted: August 13, 2019. Answers (1)
- A matatu left town A at 7.00 a.m and travelled towards a town B at an average speed of 60km/h.
A second matatu left town B...(Solved)
A matatu left town A at 7.00 a.m and travelled towards a town B at an average speed of 60km/h.
A second matatu left town B at 8.00 a.m and travelled towards town A at an average 60 km/h. If the distance between the two towns is 400 km, find:
a) The time at which the two matatus met.
b) The distance of the meeting point from town A.
Date posted: August 13, 2019. Answers (1)
- The figure below shows a circle centre O. PQRS is a cyclic quadrilateral and QOS is a straight line.
Giving reasons for your answers, find the...(Solved)
The figure below shows a circle centre O. PQRS is a cyclic quadrilateral and QOS is a straight line.
Giving reasons for your answers, find the value of:
a) b) c) d) e) Reflex
Date posted: August 13, 2019. Answers (1)
- A motorist is to follow the route ABCD. B is 250 km from A on a bearing of N750E from A. C is on a...(Solved)
A motorist is to follow the route ABCD. B is 250 km from A on a bearing of N750E from A. C is on a bearing of S750E from A and 275 km from B. D is 300 m on a bearing of S800E from B. Using a scale of 1 cm to represent 50 km;
a) Show the relative position of ABCD.
b) Determine:
i) The distance of A from C
ii) The bearing of B from C
iii) The distance of A from D
iv) The compass bearing of C from D
Date posted: August 13, 2019. Answers (1)
- The figure below shows the net of a regular rectangular based pyramid. The rectangle measures 18 cm by 15 cm. N and K are mid-points...(Solved)
The figure below shows the net of a regular rectangular based pyramid. The rectangle measures 18 cm by 15 cm. N and K are mid-points of AD and BC respectively. AB=18 cm and BC= 15 cm while VK=16 cm. V is the vertex and O is the centre of the rectangle ABCD.
a).Sketch the pyramid and label all the vertices
b) From the diagram in (a) above, calculate to 2 decimal places.
i) Length CV
ii) Length VO
iii) The angle between the plane VCB and the base ABCD.
iv) The angle between the plane BVC and AVD
Date posted: August 13, 2019. Answers (1)
- a) Use the trapezium rule with 5 strips to estimate the area enclosed by the curve, the x-axisand the lines x=-2 and x=3 of the...(Solved)
a) Use the trapezium rule with 5 strips to estimate the area enclosed by the curve, the x-axis and the lines x=-2 and x=3 of the curve y=x2+x+9.
b) Find the exact area bounded by the curve, the x-axis and the line x=-2 and x=3.
c) Find the percentage error in your workings.
Date posted: August 13, 2019. Answers (1)