Length x width
Edwinnyongesa8 answered the question on April 30, 2019 at 07:41
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The product of the first three terms of a geometric progression is 64. If the first term is a and the common ratio is r,
(Solved)
The product of the first three terms of a geometric progression is 64. If the first term is a and the common ratio is r,
a) Express r in terms of a
b) Given that the sum of the three terms is 14;
i) Calculate the values of a and r and hence write down two possible sequences each up to the 4th term
ii) Find the product of the 50th terms of the two sequences
Date posted:
April 29, 2019
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Answers (1)
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The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2.
(Solved)
The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2.
(i) Calculate the perimeter of the floor
(ii) A rectangular carpet is placed on the hall leaving an area of 64cm2. If the length of the carpet is twice its width,determine the width of the carpet
Date posted:
April 29, 2019
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Answers (1)
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Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.
(Solved)
Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.
(a) Given that R = 480 when S = 150 and T = 5, write an equation connecting R, S and T
(b) (i) Find the value of R when S = 360 and T = 1.5
(ii) Find the percentage change in R if S increases by 5% and T decreases by 20%
Date posted:
April 29, 2019
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Answers (1)
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The table below shows income tax rates for a certain year.
(Solved)
The table below shows income tax rates for a certain year.
A tax relief of Kshs. 1162 per month was allowed. In a certain month of the year, an employee’s taxable income in the
fifth band was Kshs. 2108.
a) Calculate:
i) Employees total taxable income in that month
ii) The tax payable by the employee in that month
b) The employees income includes a house allowance of Kshs. 15,000 per month. The employees contributed 5% basic
salary to a cooperative society. Calculate the employees net pay for that month.
Date posted:
April 29, 2019
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Answers (1)
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Line AB is the diameter such that the coordinates of A and B are (-1, 1) and (5,1) respectively. Find the equation of the
circle.
(Solved)
Line AB is the diameter such that the coordinates of A and B are (-1, 1) and (5,1) respectively. Find the equation of the
circle.
Date posted:
April 29, 2019
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Answers (1)
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If the local time of town A (520N, 00) is 12.00noon. Find the local time of town B(10S,370E)
(Solved)
If the local time of town A (520N, 00) is 12.00noon. Find the local time of town B(10S,370E)
Date posted:
April 29, 2019
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Answers (1)
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Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½...
(Solved)
Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½ k
respectively, find the position vector of B in terms of i , j and k.
Date posted:
April 29, 2019
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Answers (1)
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(a) Draw a regular pentagon of side 4cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon
(Solved)
(a) Draw a regular pentagon of side 4cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon
Date posted:
April 29, 2019
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Answers (1)
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a)Expand (1-x)5 up to the term in x3.
(Solved)
a)Expand (1-x)5 up to the term in x3.
(b) Use the expansion in (a) to approximate the value of (0.98)5 correct to 3 decimal places
Date posted:
April 29, 2019
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Answers (1)
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In the figure below, AT is a tangent to the circle at A. Angle ATB = 480, BC = 5cm and CT = 4cm. Calculate...
(Solved)
In the figure below, AT is a tangent to the circle at A. Angle ATB = 480, BC = 5cm and CT = 4cm. Calculate the length
AT.
Date posted:
April 29, 2019
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Answers (1)
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Find the relative error in the difference between 26.0cm and 14.2cm
(Solved)
Find the relative error in the difference between 26.0cm and 14.2cm
Date posted:
April 29, 2019
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Answers (1)
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Simplify the expression below
(Solved)
Simplify the expression given below
Date posted:
April 29, 2019
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Answers (1)
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The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.
(Solved)
The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.
Date posted:
April 29, 2019
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Answers (1)
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Two dice are tossed together.
(Solved)
Two dice are tossed together.
a) Draw a probability space to show all the possible outcomes
b) Find the probability that the sum of the two upper faces will be 9
Date posted:
April 29, 2019
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Answers (1)
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In the figure below, 0 is the centre of the circle. Find
(Solved)
In the figure below, 0 is the centre of the circle. Find 
Date posted:
April 29, 2019
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Answers (1)
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Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line
(Solved)
Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line
Date posted:
April 29, 2019
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Answers (1)
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Make P the subject of the formula
(Solved)
Make P the subject of the formula
Date posted:
April 29, 2019
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Answers (1)
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Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the...
(Solved)
Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the tank is 3 hours.
a) If tap R is closed, how long would it take taps P and Q to fill the tank?
b) Calculate how long it would take to fill the tank when the three taps P, Q and R are left running.
Date posted:
April 29, 2019
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Answers (1)
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Use logarithms to evaluate, correct to 4 decimal places.
(Solved)
Use logarithms to evaluate, correct to 4 decimal places.
Date posted:
April 29, 2019
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Answers (1)
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The frequency table shows masses, to the nearest kilogramme of fish caught by a fisherman in a day.
(Solved)
The frequency table shows masses, to the nearest kilogramme of fish caught by a fisherman in a day.
(a) Draw a histogram to represent the above information
(b)(i) State the class in which the median mass lies
(ii) Draw a vertical line in the histogram, showing where the median mass lies
(iii) Calculate the median mass in kilogrammes of the fish caught
Date posted:
April 29, 2019
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Answers (1)