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- A pool of water with surface area of 0.8ha has a uniform depth of 4m. A pipe drains the pool at the rate of 400...(Solved)
A pool of water with surface area of 0.8ha has a uniform depth of 4m. A pipe drains the pool at the rate of 400 litres per second. How many hours does it take to empty the pool?
Date posted: November 11, 2019. Answers (1)
- Simplify the expression:(Solved)
Simplify the expression:
Date posted: November 11, 2019. Answers (1)
- The figure below is a regular hexagon. O is the centre and M is the mid point of AB.
Find angle:
(i) EFD
(ii) MNF(Solved)
The figure below is a regular hexagon. O is the centre and M is the mid point of AB.
Find angle:
(i) EFD
(ii) MNF
Date posted: November 11, 2019. Answers (1)
- A rhombus A B C D with its side 15cm and diagonal AC = 24cm. Find the other diagonal BD(Solved)
A rhombus A B C D with its side 15cm and diagonal AC = 24cm. Find the other diagonal BD
Date posted: November 11, 2019. Answers (1)
- Use the tables of reciprocals to evaluate to 3d.p(Solved)
Use the tables of reciprocals to evaluate to 3d.p
Date posted: November 11, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: November 11, 2019. Answers (1)
- Radon Company has two types of machines A and B for juice production. Type A machine can produce 800 litres per day while type B...(Solved)
Radon Company has two types of machines A and B for juice production. Type A machine can produce 800 litres per day while type B machine can produce 1 600 litres per day. Type A machine needs four operators and type B need seven operators. At least 8 000 litres must be produced daily and the total number of operators should not exceed 41. There should be two or more machine of
each type.
Let 𝑥 be the number of machines of type A and 𝑦 for type B.
a) Form all inequalities in 𝑥 and 𝑦 to represent the above information.
b) In the grid provided below, draw the inequalities and shade the unwanted region.
Date posted: November 11, 2019. Answers (1)
- Income rates for income earned were charged as follows.
A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per...(Solved)
Income rates for income earned were charged as follows.
A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per month.
Other allowances per month are transport ksh.13, 000 and medical allowance ksh.2, 300. He is
entitled to a family relief of ksh.1, 240 per month. Determine
(a) (i) His taxable income per month
(ii) Net tax
(b) In addition, the following deductions were made.
NHIF sh.230
Service charge ksh.100
Loan repayment ksh.4, 000
Cooperative shares of ksh.1, 200
Calculate his net salary per month
Date posted: November 11, 2019. Answers (1)
- The figure below shows a right pyramid standing on a rectangular base ABCD. AB = 8cm, BC = 15cm and each slant edge is 12...(Solved)
The figure below shows a right pyramid standing on a rectangular base ABCD. AB = 8cm, BC = 15cm and each slant edge is 12 cm long M is the midpoint of BC.
Calculate to one decimal place
a) the vertical height of the pyramid
b) the volume of the pyramid
c) the angle between plane VBC and the base
d) the angle between line VA and the plane ABCD
Date posted: November 11, 2019. Answers (1)
- Without using a protractor, construct line XY = 8cm
a) Construct the locus of all points R such that ??????? = 60°
b) Construct the locus of...(Solved)
Without using a protractor, construct line XY = 8cm
a) Construct the locus of all points R such that ∠𝑋𝑅𝑌 = 60°
b) Construct the locus of all points P such that the area of triangle XPY is 16 𝑐𝑚2.
c) Mark all the points where the locus of R intersects the locus of P with the letters A,B,C and D
Date posted: November 11, 2019. Answers (1)
- A pavement is of length (?? - 1)?? and width (?? - 8)??. The area of the pavement is 4.56 ??2.
a)(i) Write a quadratic equation...(Solved)
A pavement is of length (𝑥 − 1)𝑚 and width (𝑥 − 8)𝑚. The area of the pavement is 4.56 𝑚2.
a)(i) Write a quadratic equation for the area of the pavement in the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 where a, b
and c are constants.
(ii) Using the method of completing square, find the actual length and width of the pavement.
b) The pavement is covered with rectangular tiles measuring 0.4 m by 0.3 m. determine the number of tiles used to cover the pavement completely.
Date posted: November 11, 2019. Answers (1)
- Evaluate(Solved)
Evaluate 
Date posted: November 11, 2019. Answers (1)
- The original area of an object after two successive transformations given by in that order becomes 168 square units. Find the original area of...(Solved)
The original area of an object after two successive transformations given by 
in that order becomes 168 square units. Find the original area of the object.
Date posted: November 11, 2019. Answers (1)
- During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was 1/8...(Solved)
During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was 1/8 while that the handball team could lose was 4/7. Find the probability that at least one team won the first match.
Date posted: November 11, 2019. Answers (1)
- Points A and B lie on latitude 15°N and their longitudes differ by 25°. An aircraft takes 8 hours to fly between the points. Calculate...(Solved)
Points A and B lie on latitude 15°N and their longitudes differ by 25°. An aircraft takes 8 hours to fly between the points. Calculate its speed in knots.
Date posted: November 11, 2019. Answers (1)
- Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.(Solved)
Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.
Date posted: November 11, 2019. Answers (1)
- State the amplitude and the phase angle of the curve 4y = cos(5x - 400)(Solved)
State the amplitude and the phase angle of the curve 4y = cos(5x - 400)
Date posted: November 8, 2019. Answers (1)
- In an experiment, water was heated and its temperature changes recorded at intervals of 2 minutes as shown in the table below.
a) On the grid...(Solved)
In an experiment, water was heated and its temperature changes recorded at intervals of 2 minutes as shown in the table below.
a) On the grid provided, plot the points and draw the line of best fit.
b) Use the line of best fit to estimate the time taken for the temperature of the water to be 75℃.
Date posted: November 8, 2019. Answers (1)
- Solve the quadratic equation by completing the square method. 2x2 - 5x = -3(Solved)
Solve the quadratic equation by completing the square method.
2x2 - 5x = -3
Date posted: November 8, 2019. Answers (1)
- In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. A tangent to the
circle at B and meets...(Solved)
In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. A tangent to the
circle at B and meets PQ produced at R.
Given that PN = 14 cm, NB = 4 cm and BR = 7.5 cm, calculate the length of;
a) NR
b) AN
Date posted: November 8, 2019. Answers (1)