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- A 890kg culvert is made of a hollow cylindrical material with outer radius of 76cm and an inner radius of 62cm. It crosses a road...(Solved)
A 890kg culvert is made of a hollow cylindrical material with outer radius of 76cm and an inner radius of 62cm. It crosses a road of width 3m. Determine the density of the material used in its construction in Kg/m3 correct to one decimal place.
Date posted: November 18, 2019. Answers (1)
- Using logarithm table evaluate(Solved)
Using logarithm table evaluate 
Date posted: November 18, 2019. Answers (1)
- When a certain number is divided by 48, 72 or 100 the remainder is 3 in each case. Find the number.(Solved)
When a certain number is divided by 48, 72 or 100 the remainder is 3 in each case. Find the number.
Date posted: November 18, 2019. Answers (1)
- Evaluate without using tables or a calculator the value of(Solved)
Evaluate without using tables or a calculator the value of
Date posted: November 18, 2019. Answers (1)
- There are 2 bags A and B. Bag A has 4 white balls and 6 red balls. Bag B has 2 white balls and 3...(Solved)
There are 2 bags A and B. Bag A has 4 white balls and 6 red balls. Bag B has 2 white balls and 3 red balls. Each bag has an equal chance of being picked. If a bag is selected randomly and 2 balls picked with replacement in bag A and without replacement in bag B. Find the probability that:
(a) They are both white
(b) They are of different colours
(c) At least one ball is red.
(d) None of the balls is white.
Date posted: November 18, 2019. Answers (1)
- The table below shows a monthly income tax rate for the year 2005
Peters monthly earning in 2005 were as follows:
Basic salary Ksh35,600, house allowance Kshs12,000,...(Solved)
The table below shows a monthly income tax rate for the year 2005
Peters monthly earning in 2005 were as follows:
Basic salary Ksh35,600, house allowance Kshs12,000, Medical allowance Kshs2,800, transport
allowance Kshs3,400, Peter was entitled to monthly tax relief of Kshs1,056.
Calculate:
(a) His monthly taxable income
(b) The monthly tax paid by Peter.
(c) In addition to tax the following deductions were made to Peters monthly income
- Service charge of Ksh100
- Health insurance fund 320
2% of his basic salary as widow and child pension . Calculate Peters net pay that month.
Date posted: November 18, 2019. Answers (1)
- Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each...(Solved)
Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each of the first two years and 10% per annum thereafter. What will be the value of the motorbike at the end of five years.
Date posted: November 18, 2019. Answers (1)
- Evaluate(Solved)
Evaluate 
Date posted: November 18, 2019. Answers (1)
- Find the value of x given that log(12 - 2x) - 1=log x - log 15.(Solved)
Find the value of x given that log(12 − 2x) − 1=log x − log 15.
Date posted: November 18, 2019. Answers (1)
- In the figure below, ABC is a tangent to the circle at B. 0, AD=8cm and DE=10cm.
Calculate the length of AB.(Solved)
In the figure below, ABC is a tangent to the circle at B. 0, AD=8cm and DE=10cm.
Calculate the length of AB.
Date posted: November 18, 2019. Answers (1)
- (a) Expand and simplify (3 -x)5 up to the fourth term
(b) Use the expansion above to estimate the value of (2.98)5 correct to 3d.p(Solved)
(a) Expand and simplify (3 −x)5 up to the fourth term
(b) Use the expansion above to estimate the value of (2.98)5 correct to 3d.p
Date posted: November 18, 2019. Answers (1)
- Given that vectors OA= -8i + 2j and OB=6i + 4j and that T divides AB in the ratio 5:3, find TB in terms of...(Solved)
Given that vectors OA= −8i + 2j and OB=6i + 4j and that T divides AB in the ratio 5:3, find TB in terms of i and j.
Date posted: November 18, 2019. Answers (1)
- Solve 2 Cos2x - 2 Sin x=1 for the interval 0= x = 3600.(Solved)
Solve 2 Cos2x − 2 Sin x=1 for the interval 0≤ x ≤ 3600.
Date posted: November 18, 2019. Answers (1)
- Three quantities A, m and n are such that A varies directly as m and inversely as the square root of n.
When m=6 and n=16...(Solved)
Three quantities A, m and n are such that A varies directly as m and inversely as the square root of n.
When m=6 and n=16 A=14. Express A in term of m and n.
Date posted: November 18, 2019. Answers (1)
- The image of a point P under the transformation represented by the matrix
is P1(6,3) find the co-ordinates of P.(Solved)
The image of a point P under the transformation represented by the matrix 
is P1(6,3) find the co−ordinates of P.
Date posted: November 18, 2019. Answers (1)
- Find the radius and the co-ordinates of the centre of the circle whose equation is
4x2 + 4y2 -12x + 16y=11.(Solved)
Find the radius and the co−ordinates of the centre of the circle whose equation is
4x2 + 4y2 −12x + 16y=11.
Date posted: November 18, 2019. Answers (1)
- Cherop's farm is in the shape of a trapezium ABCD shown below. A borehole is to be drilled in the farm such that it is...(Solved)
Cherop's farm is in the shape of a trapezium ABCD shown below. A borehole is to be drilled in the farm such that it is closer to AB than to side AD and closer to corner C than to corner D. Shade the region of all points where the borehole can be drilled.
Date posted: November 18, 2019. Answers (1)
- Without using a calculator or mathematical tables simplify(Solved)
Without using a calculator or mathematical tables simplify
Date posted: November 18, 2019. Answers (1)
- Given that the column vectors
(a) Express a as column vector and hence calculate its magnitude.
(b) Given that the midpoints of PQ is (-3,1) and Q(7,5),...(Solved)
Given that the column vectors
(a) Express a as column vector and hence calculate its magnitude.
(b) Given that the midpoints of PQ is (−3,1) and Q(7,5), obtain the co−ordinates of P.
(c) A translation T(2 1) maps triangle ABC onto triangle A′B′C′. Given the co–ordinates A(2,3), B(2,5) and C(4,4). Find the co-ordinates of A′B′C′.
Date posted: November 18, 2019. Answers (1)
- The figure below shows a circle of radius 8cm centre O. B is a point on the circumference such that 0
(a) Find the size of
(i)...(Solved)
The figure below shows a circle of radius 8cm centre O. B is a point on the circumference such that 0
(a) Find the size of
(i) (ii)(b) Calculate the length of OF
(c) Find the area of the major segment EDC.
Date posted: November 18, 2019. Answers (1)