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The volume V of a cylinder varies jointly as the square of the radius R and the height H. If the radius is increased by...
(Solved)
The volume V of a cylinder varies jointly as the square of the radius R and the height H. If the radius is increased by 10% and the height decreased by 20% find the percentage change in the volume.
Date posted:
September 24, 2019
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Answers (1)
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The masses of two objects to the nearest 100g are 51kg, and 43kg find the percentage error in the difference of their masses.
(Solved)
The masses of two objects to the nearest 100g are 51kg, and 43kg find the percentage error in the difference of their masses.
Date posted:
September 24, 2019
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Answers (1)
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A and B are points on latitude 700N.Their longitudes are 620W and 1180E respectively. Find the shortest distance between A and B in nautical miles.
(Solved)
A and B are points on latitude 700N.Their longitudes are 620W and 1180E respectively. Find the shortest distance between A and B in nautical miles.
Date posted:
September 24, 2019
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Answers (1)
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Peter invested a certain amount of money in a financial institution at compound interest compounded quarterly. At the end of the third year it had...
(Solved)
Peter invested a certain amount of money in a financial institution at compound interest compounded quarterly. At the end of the third year it had amounted to sh 18980 and by the end of the fifth year it had amounted to sh 20530. Find the rate of interest
Date posted:
September 24, 2019
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Answers (1)
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A mixture is made by mixing 4kg of long grain rice costing sh 60 per kg with 9kg of short grain rice costing sh 50...
(Solved)
A mixture is made by mixing 4kg of long grain rice costing sh 60 per kg with 9kg of short grain rice costing sh 50 per kg. How many kilograms of long grain rice should be added to the mixture so that the resulting mixture can be sold at sh 66 per kg and a profit of 20% is made.
Date posted:
September 24, 2019
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Answers (1)
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A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion...
(Solved)
A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion its velocity V meters per second after t seconds is given by V=9t2 – 2t3.
Calculate the:
(a)time taken for the particle to reach point B.
(b)time taken for the particle to attain maximum velocity.
(c)maximum velocity attained.
(d)the distance covered during the first 3 seconds.
Date posted:
September 23, 2019
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Answers (1)
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The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of...
(Solved)
The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of the base is 30cm.M is the midpoint of WX such that VM=29cm.
Calculate:
(a)The vertical height of vertex V from the plane ABCD.
(b)The angle between plane of VWX and VyZ.
(c)The projection of the line yV to the plane wxyz.
(d)The angle between the planes WXCD and ABCD.
Date posted:
September 23, 2019
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Answers (1)
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Wekesa and Ndinda working together can cultivate a piece of land in 6 days. Wekesa alone can complete the work in 15 days. After the...
(Solved)
Wekesa and Ndinda working together can cultivate a piece of land in 6 days. Wekesa alone can complete the work in 15 days. After the two had worked for 4 days Wekesa withdrew the services. Find the time taken by Ndinda to complete the remaining work.
Date posted:
September 23, 2019
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Answers (1)
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Find the compound interest on Ksh. 21,000 in 3 years at a Rate of 20% P.a. Compounded semi annually.
(Solved)
Find the compound interest on Ksh. 21,000 in 3 years at a Rate of 20% P.a. Compounded semi annually.
Date posted:
September 23, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)