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Three police posts are such that Q is on a bearing of 2100 and 12 km from P while R is on a bearing of...
(Solved)
Three police posts are such that Q is on a bearing of 2100 and 12 km from P while R is on a bearing of 1500 and 8 km from P.
(a) Using a suitable scale, draw a diagram to represent the above situation.
(b) From the scale drawing determine:
(i) the bearing of Q from R
(ii) the distance of R from Q
Date posted:
August 19, 2019
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Answers (1)
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ABCD is a rhombus. The measure of angle ABC is 1500.
(Solved)
ABCD is a rhombus. The measure of angle ABC is 1500. The diagonals of the rhombus intersect at E. The shorter diagonal measures 10cm. Calculate the length of the sides of the rhombus to the nearest integer hence calculate the area of the rhombus.
Date posted:
August 19, 2019
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Answers (1)
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Estimate the area bounded by the curve
(Solved)
Estimate the area bounded by the curve 
𝑥=3 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑥−𝑎𝑥𝑖𝑠 using the mid-ordinate rule. Use three strips.
Date posted:
August 19, 2019
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Answers (1)
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Evaluate the question below:
(Solved)
Evaluate the question below:
Date posted:
August 19, 2019
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Answers (1)
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In the figure below, lines AB and XY are parallel.
(Solved)
In the figure below, lines AB and XY are parallel.
If the area of the shaded region is 36 cm2, find the area of triangle CXY.
Date posted:
August 19, 2019
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Answers (1)
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List the integral values of x which satisfy the inequalities below.
2x+21>15-2x=x+6
(Solved)
List the integral values of x which satisfy the inequalities below.
2x+21>15-2x≥x+6
Date posted:
August 19, 2019
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Answers (1)
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Makau and Kilonzo live 20km apart. Makau leaves home at 10:00 am and walks to meet Kilonzo who started walking at 9:30 am to meet...
(Solved)
Makau and Kilonzo live 20km apart. Makau leaves home at 10:00 am and walks to meet Kilonzo who started walking at 9:30 am to meet Makau. The speed of Makau and Kilonzo are in the ratio of 3:4. If they met at 11:30 am find their speeds.
Date posted:
August 19, 2019
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Answers (1)
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John bought two shirts and three pairs of trousers at Ksh. 1750. If had bought three shirts and two pairs of trousers, he would have...
(Solved)
John bought two shirts and three pairs of trousers at Ksh. 1750. If had bought three shirts and two pairs of trousers, he would have saved Ksh.250. Find the cost of a shirt and a trouser.
Date posted:
August 19, 2019
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Answers (1)
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Simplify the expression below
(Solved)
Simplify the expression below
Date posted:
August 19, 2019
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Answers (1)
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Find the sum of the smallest and the largest value of ??.
(Solved)
Given that 
and that 𝑥 is an integer, find the sum of the smallest and the largest value of 𝑥.
Date posted:
August 19, 2019
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Answers (1)
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Without using mathematical tables or calculator evaluate.
(Solved)
Without using mathematical tables or calculator evaluate.
Date posted:
August 19, 2019
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Answers (1)
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A straight line passes through the point (-3,-4) and is perpendicular to the line whose equation is 3x + 2y = 11 and intersects the...
(Solved)
A straight line passes through the point (-3,-4) and is perpendicular to the line whose equation is 3x + 2y = 11 and intersects the x=axis and y-axis at points A and B respectively. Find the length of AB.
Date posted:
August 19, 2019
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Answers (1)
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The gradient of the tangent to the curve y=ax3+bx at point (1,1) is -5. Calculate the value of a and b.
(Solved)
The gradient of the tangent to the curve y=ax3+bx at point (1,1) is -5. Calculate the value of a and b.
Date posted:
August 19, 2019
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Answers (1)
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Without using mathematical tables or calculator evaluate.
(Solved)
Without using mathematical tables or calculator evaluate.
Date posted:
August 19, 2019
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Answers (1)
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Simplify:
(Solved)
Simplify:
Date posted:
August 19, 2019
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Answers (1)
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Without using a calculator or mathematical table evaluate:
(Solved)
Without using a calculator or mathematical table evaluate:
Date posted:
August 19, 2019
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Answers (1)
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Without using mathematical tables or calculators, evaluate:
(Solved)
Without using mathematical tables or calculators, evaluate:
Date posted:
August 19, 2019
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Answers (1)
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A theatre has a seating capacity of 250 people. The charges are Kshs. 100 for an ordinary seat and Kshs. 160 for a special seat.
(Solved)
A theatre has a seating capacity of 250 people. The charges are Kshs. 100 for an ordinary seat and Kshs. 160 for a special seat. It costs Kshs. 16,000 to stage a show and the theatre must make a profit. There are never more than 200 ordinary seats and for a show to take place at least 50 ordinary seats must be occupied. The number of special seats is always less than twice the number of ordinary seats. Taking x to be the number of ordinary seats and y the number of special seats:-
(a) Write down all the inequalities representing the above information.
(b) On the grid provided, draw the graph to show the inequalities.
(c) Determine the number of seats each type that should be booked in order to maximize the profit.
(d) Determine the maximum profits.
Date posted:
August 19, 2019
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Answers (1)
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A curve is represented by the function below.
(Solved)
A curve is represented by the function below
(a) Find 
(b) Determine the values of y at the turning points of the curve 
(c) In the space provide below sketch the curve in (b) above.
Date posted:
August 19, 2019
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Answers (1)
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Onyango and Juma live 200km apart. One day, Onyango left his house at 7.00am
(Solved)
Onyango and Juma live 200km apart. One day, Onyango left his house at 7.00am and travelled toward’s Juma’s house at an average speed of 30km/hr. Juma left his house at 7.30am on the same day and travelled towards Onyango’s at an average speed of 40km/hr.
(a) Determine:-
(i) The time they met.
(ii) The distance from Onyango’s house where the two met.
(iii) How far was Onyango from Juma’s house when they met?
(b) The two took 15 minutes at the meeting point and then travelled to Juma’s house at an average speed of 20km/hr. Find the time he arrived at Juma’s house.
Date posted:
August 19, 2019
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Answers (1)