-
A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.
(Solved)
A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.
Date posted:
September 23, 2019
.
Answers (1)
-
The Nyamira Express company runs a fleet of two types of buses operating between
Nairobi and Kisii. Type A bus has a capacity of 52...
(Solved)
The Nyamira Express company runs a fleet of two types of buses operating between
Nairobi and Kisii. Type A bus has a capacity of 52 passengers and 200kg of luggage.
Type B carries 32 passengers and 300kg of luggage. On a certain day, there were 500
passengers with 3500kg of luggage to be transported. The company could only use a
maximum of 15 buses altogether.
a)If the company uses x buses of type A and y buses of type B. Write down all the
inequalities satisfied by the above conditions.
b)Draw the inequalities representing the above information
c)If the cost of running one bus of type A is sh.7200 and that of type B is sh.6000,
find the minimum cost of running the buses.
Date posted:
September 23, 2019
.
Answers (1)
-
The figure below shows a cuboid ABCDEFGH. AB = 6cm, BC = 4cm and CG = 8cm.
Given that N is the midpoint of EH.
Calculate...
(Solved)
The figure below shows a cuboid ABCDEFGH. AB = 6cm, BC = 4cm and CG = 8cm.
Given that N is the midpoint of EH.
Calculate the angle between line BN and the base ABCD.
Date posted:
September 23, 2019
.
Answers (1)
-
Using a ruler and a pair of compasses only, construct triangle PQR such that PQ=5cm,QR=4cm and angle PQR=1200. Measure PR. On the diagram, construct a...
(Solved)
Using a ruler and a pair of compasses only, construct triangle PQR such that PQ=5cm,QR=4cm and angle PQR=1200. Measure PR. On the diagram, construct a circle centre O which passes through the vertices of the triangle PQR. Measure the radius of the circle. Measure the shortest distance from the centre of the circle to the lines PQ and QR.
Date posted:
September 23, 2019
.
Answers (1)
-
Mr. Wangila is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance...
(Solved)
Mr. Wangila is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance of sh. 2800p.m. He claims a family relief of sh. 400p.m. He pays sh. 300 per month and 2% of his salary towards water bills and NHIF respectively.
Calculate his net monthly salary in Ksh using the tax rates shown in the table below.
Date posted:
September 23, 2019
.
Answers (1)
-
If X = 33.5 and y = 33.1 both being correct to one decimal place, calculate the maximum possible percentage error in X-y
(Solved)
If X = 33.5 and y = 33.1 both being correct to one decimal place, calculate the maximum possible percentage error in X-y
Date posted:
September 23, 2019
.
Answers (1)
-
The expression px2+12x+4p+9x where p is a constant is a perfect square. Find the value of p.
(Solved)
The expression px2+12x+4p+9x where p is a constant is a perfect square. Find the value of p.
Date posted:
September 23, 2019
.
Answers (1)
-
A coffee trader buys two grades of coffee at Sh. 80 and Sh. 100 per packet. Find the ratio at which she should mix them...
(Solved)
A coffee trader buys two grades of coffee at Sh. 80 and Sh. 100 per packet. Find the ratio at which she should mix them so that by selling a packet of the mixture at a Sh. 120 a profit of 25% is realized.
Date posted:
September 23, 2019
.
Answers (1)
-
The third and the fifth terms of an arithmetic progression are 10 and -10 respectively.
(a)Determine the first term and the common difference
(b)The sum of the...
(Solved)
The third and the fifth terms of an arithmetic progression are 10 and -10 respectively.
(a)Determine the first term and the common difference
(b)The sum of the first 15 terms.
Date posted:
September 23, 2019
.
Answers (1)
-
The probability of a candidate passing her secondary examination is 4/5. If she passes his examination the probability of her joining the university is 2/3....
(Solved)
The probability of a candidate passing her secondary examination is 4/5. If she passes his examination the probability of her joining the university is 2/3. If she fails her examination, the probability of her joining the university is ¼ . If she joins the university the probability of her getting a job is 6/7 and if she does not join the university the probability of her getting a job is 2/9. find,
(a) The probability that she fails her examination
(b) Find the probability that she got a job after failing her secondary examination
(c) The probability that she joins university
(d) The probability that she did not get a job
Date posted:
September 23, 2019
.
Answers (1)
-
A tank has two inlet taps P and Q and the outer taps R. When empty, the tank can be filled by the tap P...
(Solved)
A tank has two inlet taps P and Q and the outer taps R. When empty, the tank can be filled by the tap P alone in 4 ½ hours or by tap Q alone in 3 hours when full, the tank can emptied in 2 hours by tap R. The tank is initially empty. Find the time taken to fill the tank
(a)(i) If tap R is closed and taps P and Q are opened at the same time
(ii) If all the three taps are opened at the same time
(b) The tank is initially empty and the three taps are opened as follows
P at 8:00am
Q at 8.45am
R at 9.00am
(i) Find the fraction of the tank that would be filled by 9.00am
(ii) Find the time the tank would be fully filled up
Date posted:
September 23, 2019
.
Answers (1)
-
The masses in kilogram of 20 bags of maize were
90 94 96 99 95 102 105 95 96 102 99 105
90 94 99 98 100 96 102 105
Using an assumed mean of 96Kg, calculate the mean mass per bag of the maize
(Solved)
The masses in kilogram of 20 bags of maize were
90 94 96 99 95 102 105 95 96 102 99 105
90 94 99 98 100 96 102 105
Using an assumed mean of 96Kg, calculate the mean mass per bag of the maize
Date posted:
September 23, 2019
.
Answers (1)
-
A quantity V is partly constant and partly varies inversely as the square of W. If W=2 when V=14 and W=3 when V=9, write an...
(Solved)
A quantity V is partly constant and partly varies inversely as the square of W. If W=2 when V=14 and W=3 when V=9, write an equation connecting V and W hence find V when W=6
Date posted:
September 23, 2019
.
Answers (1)
-
The position vector of A and B are a=4i+4j-k6 and b=10i+4j+12k D is a point on AB such that AD:DB is 2:1. Find the co...
(Solved)
The position vector of A and B are a=4i+4j-k6 and b=10i+4j+12k D is a point on AB such that AD:DB is 2:1. Find the co ordinates of D
Date posted:
September 23, 2019
.
Answers (1)
-
By correcting each number to one significant figure, approximate the value of 578x0.005. Hence calculate the percentage error arising from the approximate
(Solved)
By correcting each number to one significant figure, approximate the value of 578x0.005. Hence calculate the percentage error arising from the approximate
Date posted:
September 23, 2019
.
Answers (1)
-
If (5x + 6y): (2x + 10y) = 22: 10 find x: y.
(Solved)
If (5x + 6y): (2x + 10y) = 22: 10 find x: y.
Date posted:
September 21, 2019
.
Answers (1)
-
The figure below A=62° B = 41° BC=8.4cm and CN is the bisector of ACB
Calculate the length of CN to l decimal place.
(Solved)
The figure below A=62° B = 41° BC=8.4cm and CN is the bisector of ACB
Calculate the length of CN to l decimal place.
Date posted:
September 21, 2019
.
Answers (1)
-
Use mathematical tables to evaluate.
(Solved)
Use mathematical tables to evaluate.
Date posted:
September 21, 2019
.
Answers (1)
-
Two bags A and B contain red and blue balls.Bag A contains 2 blue balls and 3 red balls while bag B contains 3 blue...
(Solved)
Two bags A and B contain red and blue balls.Bag A contains 2 blue balls and 3 red balls while bag B contains 3 blue balls and 2 red balls.A bag is selected at random and two balls picked without replacement.
a)use a tree diagram to illustrate the above information
b)use the tree diagram above to find the probability of picking
i)Balls of the same colour
ii)A red ball followed by a blue ball
iii)At least a blue ball
iv)One red ball
Date posted:
September 21, 2019
.
Answers (1)
-
The 2nd and the 5th terms of an arithmetic progression are 8 and 17 respectively, the 2nd, 10th and the 42nd terms of the...
(Solved)
The 2nd and the 5th terms of an arithmetic progression are 8 and 17 respectively, the 2nd, 10th and the 42nd terms of the A.P form the first three terms of a geometric progression. Find.
a)The 1st term and the common difference of the A.P.
b)The first three terms of G.P and the 10th term of the G.P.
c)The sum of the first 10 terms of the G.P.
Date posted:
September 21, 2019
.
Answers (1)