- A particle travels in a straight line through a fixed point O such that its displacement S metres, from O is given by S =...(Solved)
A particle travels in a straight line through a fixed point O such that its displacement S metres, from O is given by S = 3t3 – 27t2 + 72t + 4 where t is the time in seconds after passing O.
Calculate;
a) The displacement of the particle at t = 3.
b) The value of t for which the particle is momentarily at rest.
c) The acceleration when t = 4.
d) At what time is its minimum velocity?
Date posted: August 16, 2019. Answers (1)
- A garden measures 10m long and 8m wide. A path of uniform width is made all round the garden. The total area of the garden...(Solved)
A garden measures 10m long and 8m wide. A path of uniform width is made all round the garden. The total area of the garden and the path is 168m2.
a) Find the width of the path.
b) The path is to be covered with square concrete slabs. Each corner of the path is covered with a slab whose side is equal to the width of the path.The rest of the path is covered with slabs of side 50cm. The cost of making each corner slab is Shs.600 while the cost of making each smaller slab is shs.50.
Calculate;
i) The number of the smaller slabs used.
ii) The total cost of the slabs used to cover the whole path.
Date posted: August 16, 2019. Answers (1)
- In the figure below K, L, M and N are points on the circumference of a circle centre O. The points K,O, M and P...(Solved)
In the figure below K, L, M and N are points on the circumference of a circle centre O. The points K, O, M and P are on a straight line. PN is a tangent to the circle at N. Angle KOL = 1300 and Angle MKN = 400.
Find the values of the following angles stating the reasons in each case.
a)MLN
b)OLN
c)LNP
d)MPN
e)LMP
Date posted: August 16, 2019. Answers (1)
- A businessman buys beans directly from farmers in 90kg bags at Kshs.2,000 per bag and spends Kshs.100 per bag on transport and other overhead costs....(Solved)
A businessman buys beans directly from farmers in 90kg bags at Kshs.2,000 per bag and spends Kshs.100 per bag on transport and other overhead costs. He sells the beans in tins at Kshs.60 making a profit of Kshs.500 per bag.
a) How many tins are there in a bag?
b) In a given season, he sold 1,000 bags. How much did he get?
c) The farmer has two options of selling his beans.
i) To the food processing company at Kshs.2,000 per bag and sells 50 bags.
ii) To retailers at Kshs.60 per tin and sells 30 bags.
Which option would earn her more profit and by how much.
Date posted: August 16, 2019. Answers (1)
- Four towns R, T, K and G are such that T is 84km directly to the North of R, and K is on a bearing...(Solved)
Four towns R, T, K and G are such that T is 84km directly to the North of R, and K is on a bearing of 2950 from R at a distance of 60km. G is on a bearing of 3400 from K and a distance of 30km.
a) Using a scale of 1cm represents 10km, make an accurate scale drawing to show the relative positions of the towns.
b) Using the diagram above find;
i) The distance and bearing of T from G.
ii) The distance and bearing of K from T.
Date posted: August 16, 2019. Answers (1)
- The angles of elevation of the top of a tree form a point x on horizontal ground is 24.50. Rhoda moves 5 metres from x...(Solved)
The angles of elevation of the top of a tree form a point x on horizontal ground is 24.50. Rhoda moves 5 metres from x towards the base of the tree and observes that the angle of elevation of the tree is now 33.20. Calculate the height of the tree to one decimal place.
Date posted: August 16, 2019. Answers (1)
- Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between points A and B.(Solved)
Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between points A and B.
Date posted: August 16, 2019. Answers (1)
- Find the integral values of x which satisfy the inequalities.(Solved)
Find the integral values of x which satisfy the inequalities.
Date posted: August 16, 2019. Answers (1)
- In the figure shown below ABCD is a square of side 4cm. BXD and BYD are arcs of circle centres A and C respectively.Calculate the...(Solved)
In the figure shown below ABCD is a square of side 4cm. BXD and BYD are arcs of circle centres A and C respectively.
Calculate the area of the shaded part.
Date posted: August 16, 2019. Answers (1)
- The table below shows the ages of 55 people.
Find;
a) Modal class.
b) The median age.(Solved)
The table below shows the ages of 55 people.
Find;
a) Modal class.
b) The median age.
Date posted: August 16, 2019. Answers (1)
- Use tables of reciprocal to work out.(Solved)
Use tables of reciprocal to work out.
Date posted: August 16, 2019. Answers (1)
- In the figure below AB = 8.4cm, DC = 4.7cm angle BDC = 480 and angle DCA = 600.Calculate the length of AC.(Solved)
In the figure below AB = 8.4cm, DC = 4.7cm angle BDC = 480 and angle DCA = 600.
Calculate the length of AC.
Date posted: August 16, 2019. Answers (1)
- Nairobi and Mtito Andei are 240km apart. A bus left Nairobi at 9:00am and travelled towards Mtito Andei at 80km/hr. 45 minutes later, a car...(Solved)
Nairobi and Mtito Andei are 240km apart. A bus left Nairobi at 9:00am and travelled towards Mtito Andei at 80km/hr. 45 minutes later, a car left Mtito Andei for Nairobi at a speed of 100Km/hr.Calculate the distance covered by the bus before meeting the car.
Date posted: August 16, 2019. Answers (1)
- Simplify the expression.(Solved)
Simplify the expression.
Date posted: August 16, 2019. Answers (1)
- Without using logarithm tables or calculator evaluate;(Solved)
Without using logarithm tables or calculator evaluate;
Date posted: August 16, 2019. Answers (1)
- 6 men working 5 hours a day can do a job in 32 days. How long will the same job takes 4 men working 8...(Solved)
6 men working 5 hours a day can do a job in 32 days. How long will the same job takes 4 men working 8 hours a day?
Date posted: August 16, 2019. Answers (1)
- P (5, -4) and Q (-1, -2) are points on a straight line. Find the equation of the perpendicular bisector of PQ giving your answer...(Solved)
P (5, -4) and Q (-1, -2) are points on a straight line. Find the equation of the perpendicular bisector of PQ giving your answer in the form y = mx + c.
Date posted: August 16, 2019. Answers (1)
- Without using mathematical tables or calculator evaluate;
(Solved)
Without using mathematical tables or calculator evaluate;
Date posted: August 16, 2019. Answers (1)
- The figure below shows two circles that intersect at point W and X.Point A is the centre of smaller circle and lies on the circumference...(Solved)
The figure below shows two circles that intersect at point W and X.Point A is the centre of smaller circle and lies on the circumference of the larger circle BXZ and BWY are straight lines. Angle WBX = 550 and angle WYZ = 800.
Find the following angles giving reasons.
(a) The obtuse angle WAX
(b) Angle WYZ
(c) Angle XWZ
(d) Angle WXA
(e) Angle AXB
Date posted: August 16, 2019. Answers (1)
- Town A is at (300S, 200E) and town B is at (300S, 300W). A plane leaves A at 8:00 a.m traveling at a speed of...(Solved)
Town A is at (300S, 200E) and town B is at (300S, 300W).A plane leaves A at 8:00 a.m traveling at a speed of 850 km/h to town B (take pi = 3.142)
(a) What time was town B when the plane was leaving town A.
(b) How long does the plane take to reach town B (take radius of the earth to be 6400km).
(c) After reaching, the plane continues due west for one further hour until it reaches town C.Give the position of C.
Date posted: August 16, 2019. Answers (1)