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The angle of elevation of the top of a tower from a point x on the horizontal is 28.5.From another point y, 8 meters near...
(Solved)
The angle of elevation of the top of a tower from a point x on the horizontal is 28.5.From another point y, 8 meters near to the base of the tower, the angle of elevation of the top of the tower is 37.20. Calculate, to one decimal place, the height of the tower.
Date posted:
August 16, 2019
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Answers (1)
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Security light poles have been erected along both sides of a street in Ndhiwa town. The poles are 50m apart a long the...
(Solved)
Security light poles have been erected along both sides of a street in Ndhiwa town. The poles are 50m apart a long the left hand side of the road while they are 80m a part a long the right hand side. At one end of the road the poles are directly opposite each other. How many poles will be erected by the time the poles are directly opposite each other at the end of the road?
Date posted:
August 16, 2019
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Answers (1)
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One interior angle of a certain polygon is 840. If each of the other angles is 1470, how many sides does this polygon have?
(Solved)
One interior angle of a certain polygon is 840. If each of the other angles is 1470, how many sides does this polygon have?
Date posted:
August 16, 2019
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Answers (1)
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Two equal circles with centres O and Q and radius 8cm intersect at point A and B as shown below
Given that the distance between O...
(Solved)
Two equal circles with centres O and Q and radius 8cm intersect at point A and B as shown below
Given that the distance between O and Q is 12cm and that line AB meets OQ at X, find
(a) the length of chord AB
(b) the area of the shaded region
(c) the reflex angle AOB
Date posted:
August 16, 2019
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Answers (1)
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Easy coach bus left Nairobi at 8.00am and traveled towards Eldoret at an average speed of 80km/hr.8.00a.m a car left Eldoret towards Nairobi at an...
(Solved)
Easy coach bus left Nairobi at 8.00am and traveled towards Eldoret at an average speed of 80km/hr.8.00a.m a car left Eldoret towards Nairobi at an average speed of 120km/h.Given that the distance between Nairobi and Eldoret is 400km.Calculate
(a) the time the car arrived in Nairobi
(b) the time the two vehicles met
(c) the distance from Nairobi to the meeting point
(d) the distance of the bus from Eldoret when the car arrived in Nairobi
Date posted:
August 16, 2019
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Answers (1)
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Matrix P is given by(a) Find p-1 (b) Two institutes regions and Alphax purchased beans at sh.B per bag and maize at sh.M perbags. Regions...
(Solved)
Matrix P is given by
(a) Find p-1
(b) Two institutes regions and Alphax purchased beans at sh.B per bag and maize at sh.M per bag. Regions purchased 8 bags of beans and 14 bags of maize for sh. 47,600. Alphax
purchased 10 bags of beans and 16 bags of maize for sh. 57,400.
(i) form a matrix equation to represent the information above
(ii) Use the matrix p p-1 to find the prices of one bag of each item
(c) The price of bean later went up by 5% and that of maize remain constant. Regions bought the same quality of beans but spent the same total amount of money as before on the two items. State the new ratio of beans and maize.
Date posted:
August 16, 2019
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Answers (1)
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A bus travels from Nairobi to Kisumu a distance of 320 km at a speed of x km/hr.If the speed is reduced by 20km/hr the...
(Solved)
A bus travels from Nairobi to Kisumu a distance of 320 km at a speed of x km/hr.If the speed is reduced by 20km/hr the bus would take 48 minutes more.
(a) Form an equation to represent the given information and simplify it
(b) Find the speed of the bus
(c) Determine the time taken by the bus for the whole journey
(d) Another car is moving from Kisumu to Nairobi at a speed of 80km/h.Determine their relative speed.
Date posted:
August 16, 2019
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Answers (1)
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Calculate the area of the shaded segment of the circle given in the figure below.
(Solved)
Calculate the area of the shaded segment of the circle given in the figure below.
Date posted:
August 16, 2019
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Answers (1)
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Below is an equation of a straight line.
(i).Find the gradient of the line
(ii) Equation of a line passing through point (2,3) and parallel to...
(Solved)
Below is an equation of a straight line.
(i).Find the gradient of the line
(ii) Equation of a line passing through point (2,3) and parallel to the given line
Date posted:
August 16, 2019
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Answers (1)
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The 2nd 7th and 22nd terms of an arithmetic progression are the first three consecutive terms of a geometric progression. The 10th term of the...
(Solved)
The 2nd, 7th and 22nd terms of an arithmetic progression are the first three consecutive terms of a geometric progression. The 10th term of the arithmetic progression is 21 Determine:
a) The first term and the common difference of the A.P
b) The sum of the first six terms of the G.P
Date posted:
August 16, 2019
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Answers (1)
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A slaughter house bought a number of sheep at sh 1200 each and a number of oxen at sh 15000 each. They paid a total...
(Solved)
A slaughter house bought a number of sheep at sh 1200 each and a number of oxen at sh 15000 each. They paid a total amount of sh 135,000.lf they had bought twice as many sheep and three oxen less they would have saved sh 15000.
a) Find the number of each type of animals they bought.
b) The slaughter house sold all the animals at a profit of 30% per sheep and 35% per oxen.Determine the total profit they made.
Date posted:
August 16, 2019
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Answers (1)
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A student at a certain college has a 60% chance of passing an examination at the first attempt.Each time a student fails and repeats the...
(Solved)
A student at a certain college has a 60% chance of passing an examination at the first attempt.Each time a student fails and repeats the examination his chances of passing are increased by 15% Calculate the probability that a student in the college passes an examination at the second or at the third attempt.
Date posted:
August 16, 2019
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Answers (1)
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The line passing through the point C(-1,3t) and D (t,3) is parallel to the line whose equation is 2y – 3x = 9. Write down...
(Solved)
The line passing through the point C(-1,3t) and D (t,3) is parallel to the line whose equation is 2y – 3x = 9. Write down the coordinates of C and D.
Date posted:
August 16, 2019
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Answers (1)
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Find y if log2y – 2 = log292
(Solved)
Find y if log2y – 2 = log292
Date posted:
August 16, 2019
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Answers (1)
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A ship leaves port M and sails on a bearing of 0500 heading towards Island L. Two navy destroyers sail from a noval base N...
(Solved)
A ship leaves port M and sails on a bearing of 0500 heading towards Island L. Two navy destroyers sail from a noval base N to intercept the ship. Destroyer A sails such that it covers the shortest distance possible. Destroyer B sails on a bearing of 200 to L. If the bearing of N from M is 1000 and distance NM=300Km, Using a scale of 1cm to represent 50Km, determine
i) the positions of M,N and L.
ii) the distance traveled by destroyer A.
iii) the distance traveled by destroyer B.
iv) the bearing of N from L.
Date posted:
August 16, 2019
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Answers (1)
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Maru Secondary School consumes 40 bags of maize and 25 bags of beans per term. Kadu Secondary School consumes 35 bags of maize and 18...
(Solved)
Maru Secondary School consumes 40 bags of maize and 25 bags of beans per term. Kadu Secondary School consumes 35 bags of maize and 18 bags of beans per term. The schools purchase the grains from the same grain store. Maru pays sh.380,000 while Kadu pays sh.301,500 for the grains.
a) Write down two equations representing the cost of grains in the two schools.
b) Using matrix method , calculate the cost of each bag of maize and beans.
c) The following term the price of each bag of maize increased by 20% while that of beans decreased by 15%.
i) How much did Maru pay for the grains?
ii) If the school enrollment increased by 10% and the food ration also increased proportionally, how much would the school spend on the grains?
Date posted:
August 16, 2019
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Answers (1)
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Karis owns a farm that is triangular in shape as shown below.
a) Calculate the size of angle BAC.
b) Find the area of the farm in...
(Solved)
Karis owns a farm that is triangular in shape as shown below.
a) Calculate the size of angle BAC.
b) Find the area of the farm in hectares.
c) Karis wishes to irrigate his farm using a sprinkler machine situated in the farm such that it is equidistant from points A,B and C.
i) Calculate the distance of the sprinkler from point C.
ii) The sprinkler rotates in a circular motion so that the maximum point reached by the water jets is the vertices A,B, and C. Calculate the area outside his farm that will be irrigated.
Date posted:
August 16, 2019
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Answers (1)
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John is a sales agent in a company that pays him a basic salary of sh.5000. In addition he is given a commission of 5%...
(Solved)
John is a sales agent in a company that pays him a basic salary of sh.5000. In addition he is given a commission of 5% on sales worth sh.200, 000 and 7.5% on any additional sales above sh. 200,000.
a) In January his total sale was sh. 420,000. How much did he earn in total.
b) In February, his total earnings was sh.28125. Calculate his total sales in February.
c) The following year the company changed its policy to a flat rate commission of 9% on goods sold. In the first month, John sold goods worth sh.450,000. Find the percentage change in earning compared to the old policy.
Date posted:
August 16, 2019
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Answers (1)
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A measuring cylinder of radius 5cm contains water whose level reads 6cm high. A spherical object is immersed in the water and the new level...
(Solved)
A measuring cylinder of radius 5cm contains water whose level reads 6cm high. A spherical object is immersed in the water and the new level reads 10cm. Calculate the radius of the spherical object.
Date posted:
August 16, 2019
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Answers (1)
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In triangle ABC below, AC=BC, AB is parallel to DE, AB=15cm, DE=7.5cm and BE=6cm.
Calculate
a) Length CE
b) Area of quadrilateral ABED.
(Solved)
In triangle ABC below, AC=BC, AB is parallel to DE, AB=15cm, DE=7.5cm and BE=6cm.
Calculate
a) Length CE
b) Area of quadrilateral ABED.
Date posted:
August 16, 2019
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Answers (1)