- The figure below shows triangle OAB in which OA = a and OB = b. M and N are points on OB and AB respectively...(Solved)
The figure below shows triangle OAB in which OA = a and OB = b. M and N are points on OB and AB respectively such
that OM = 1/3OB and AN = 2/5AB. Line AM and ON meet at P such that OP = 5/9 ON.
a) Express the following vectors in terms of a and b
i) AB
ii) ON
iii) AM
b) Express AP and PM in terms of a and b,hence show that the points A, P and M are collinear.
Date posted: May 3, 2019. Answers (1)
- Three hundred and sixty litres of a homogenous paint is made by mixing three paints A, B and C. The ratio by volume
of paints A...(Solved)
Three hundred and sixty litres of a homogenous paint is made by mixing three paints A, B and C. The ratio by volume
of paints A to paint B is 3 : 2 and paint B to paint C is 1 : 2. Paint A costs sh. 180 per litre, paint B sh. 240 per litre and
paint C sh. 127.50 per litre. Determine:
a) The volume of each type of paint in the mixture.
b) The amount of money spent in making one litre of the mixture.
c) The percentage profit made by selling the mixture at sh. 221 per litre.
Date posted: May 3, 2019. Answers (1)
- The length and breadth of a rectangle are given as (6x - 1) and (x - 2) metres respectively. If the length and breadth
are each...(Solved)
The length and breadth of a rectangle are given as (6x - 1) and (x - 2) metres respectively. If the length and breadth
are each increased by 4 metres, the new area is three times that of the original triangle.
a) Form an equation in x and solve it.
b) Find the dimension of the original rectangle.
c) Express the increase in area as a percentage of the original area.
Date posted: May 3, 2019. Answers (1)
- Evaluate the following(Solved)
Evaluate the following
Date posted: May 2, 2019. Answers (1)
- Work out the following.(Solved)
Work out the following.
Date posted: May 2, 2019. Answers (1)
- An American tourist arrives in Kenya with 1000 US$ and converted the whole amount into Kenyan shilling. He spend sh. 40000 and changed the balance...(Solved)
An American tourist arrives in Kenya with 1000 US$ and converted the whole amount into Kenyan shilling. He spend sh. 40000 and changed the balance to Sterling pounds before leaving for United Kingdom. A Kenyan bank buys and sells foreign currencies as shown.
Calculate the amount he received to the nearest sterling pound.
Date posted: May 2, 2019. Answers (1)
- A train 20m long is moving at 52km/h. Another train 30m long is moving in the opposite direction at 48km/h. How long do the train...(Solved)
A train 20m long is moving at 52km/h. Another train 30m long is moving in the opposite direction at 48km/h. How long do the train take to completely pass each other. Give your answer in seconds.
Date posted: May 2, 2019. Answers (1)
- The price of an article is marked as 12,000/= Mr. Omanga sold the article at a discount of 10% and still made a profit of...(Solved)
The price of an article is marked as 12,000/= Mr. Omanga sold the article at a discount of 10% and still made a profit of 8%. Calculate the cost of the article.
Date posted: May 2, 2019. Answers (1)
- Solve the simultaneous inequality below and list the integral values that satisfy it.(Solved)
Solve the simultaneous inequality below and list the integral values that satisfy it.
Date posted: May 2, 2019. Answers (1)
- The total age of a group of parents is 342 yrs. A new parent aged 48 yrs joins the group, their average age rises by...(Solved)
The total age of a group of parents is 342 yrs. A new parent aged 48 yrs joins the group, their average age rises by 1.
Find the original number of parents given that they were more than 30.
Date posted: May 2, 2019. Answers (1)
- Use tables of square, cuberoots and reciprocal to find the value of x if(Solved)
Use tables of square, cuberoots and reciprocal to find the value of x if
Date posted: May 2, 2019. Answers (1)
- Solve the simultaneous equations.(Solved)
Solve the simultaneous equations.
Date posted: May 2, 2019. Answers (1)
- A number n is such that when divided by 3, 7, 11 or 13, the remainder is always one. Find the number n.(Solved)
A number n is such that when divided by 3, 7, 11 or 13, the remainder is always one. Find the number n.
Date posted: May 2, 2019. Answers (1)
- The figure below shows triangle PQR in which PR = 12cm. T is a point on PR such that TR = 4cm. Line ST is...(Solved)
The figure below shows triangle PQR in which PR = 12cm. T is a point on PR such that TR = 4cm. Line ST is parallel to
OR. If the area of PQR is 336cm2. Find the area of the quadrilateral QSTR.
Date posted: May 2, 2019. Answers (1)
- The diagram below represents a circular flower bed surrounded by a path of uniform width. Given that
R = 14m and r = 12.6m, calculate to...(Solved)
The diagram below represents a circular flower bed surrounded by a path of uniform width. Given that
R = 14m and r = 12.6m, calculate to the nearest whole number the area of the path. (Take p = 22/7)
Date posted: May 2, 2019. Answers (1)
- Find the area in hectares of a field book measurement recorded in metres as follows.(Solved)
Find the area in hectares of a field book measurement recorded in metres as follows.
Date posted: May 2, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: May 2, 2019. Answers (1)
- The first, the fifth and the seventh terms of another Arithmetic sequence forms a decreasing geometric progression. If
the first terms of the geometric progression is...(Solved)
The first, the fifth and the seventh terms of another Arithmetic sequence forms a decreasing geometric progression. If
the first terms of the geometric progression is 64.
(i) find the values of the common differenced of AP.
(ii) find the first sum of the first ten terms of the G.P.
Date posted: May 2, 2019. Answers (1)
- The first term of an arithmetic progression is 3 and the sum of its 8 terms is 164.(Solved)
The first term of an arithmetic progression is 3 and the sum of its 8 terms is 164.
(i) Find the common difference of the arithmetic progression.
(ii) Given that the sum of the first terms of AP is 570, find n.
Date posted: May 2, 2019. Answers (1)
- A right pyramid VABCD below has a square base ABCD of side 4m. The slant edges VA, VB, VC and VD are 6m long.(Solved)
A right pyramid VABCD below has a square base ABCD of side 4m. The slant edges VA, VB, VC and VD are 6m long.
Calculate
(i) the height of the pyramid.
(ii) the angle between the plane VAB and the base ABCD.
(iii) C1 and D1 are mid points of VC and VD respectively. Calculate the angle between the planes ABCD and ABC1D1.
Date posted: May 2, 2019. Answers (1)