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- A business lady bought 180 mangoes at Shs.60 for every five mangoes. She sold some of them at Shs.30 for every three and 33 1/3...(Solved)
A business lady bought 180 mangoes at Shs.60 for every five mangoes. She sold some of them at Shs.30 for every three and 33 1/3 % the rest at Sh.30 for every four. If she made a 33 1/3 % loss, calculate the number of mangoes sold at Shs.30 for every four
Date posted: September 20, 2019. Answers (1)
- Evaluate using logarithms(Solved)
Evaluate using logarithms
![fig8320920191533.png](/questions/uploads/fig8320920191533.png)
Date posted: September 20, 2019. Answers (1)
- The figure below shows rectangular plot ABCD with AB =60m and BC=45m.
PN is a vertical pole of length 30m to which four taut wire PB1,...(Solved)
The figure below shows rectangular plot ABCD with AB =60m and BC=45m.
PN is a vertical pole of length 30m to which four taut wire PB1, PC1,PD and PA are attached
![fig8020920191522.png](/questions/uploads/fig8020920191522.png)
Calculate
a)length of the projection of PC on the plane ABCD
b)the angle PC made with the base ABCD
c)The angle between the planes PBC and ABCD
d)If point A is to be the North of point C. calculate the bearing of B from A
Date posted: September 20, 2019. Answers (1)
- Complete the table below.(Solved)
Complete the table below.
![fig7820920191516.png](/questions/uploads/fig7820920191516.png)
Date posted: September 20, 2019. Answers (1)
- Using a ruler and a compass only
a) Construct a parallelogram ABCD such that AB = 10cm BC=7cm and < ABC
105o
b) Construct the loci of P...(Solved)
Using a ruler and a compass only
a) Construct a parallelogram ABCD such that AB = 10cm BC=7cm and < ABC
105o
b) Construct the loci of P and Q within the parallelogram such that AP < 4cm and BQ < 6cm
c) Calculate the area within the parallelogram and outside the region bounded by the two loci
Date posted: September 20, 2019. Answers (1)
- The table below gives the income tax rates.a)Calculate income tax of Wanga’s taxable income of kshs.50,400 per monthallowing a family relief of kshs. 520 per...(Solved)
The table below gives the income tax rates.
![fig7420920191455.png](/questions/uploads/fig7420920191455.png)
a)Calculate income tax of Wanga’s taxable income of kshs.50,400 per month allowing a family relief of kshs. 520 per month.
b)Calculate the total tax as a percentage of taxable income
Date posted: September 20, 2019. Answers (1)
- Find the integral values of x which satisfy 6 = 2x + 1 and 5x – 29 < - 4 .(Solved)
Find the integral values of x which satisfy 6 ≤ 2x + 1 and 5x – 29 < - 4 .
Date posted: September 20, 2019. Answers (1)
- Five men working 8 hours daily complete a piece of work in 3 days. How long will it take 12 men working 5 hours a...(Solved)
Five men working 8 hours daily complete a piece of work in 3 days. How long will it take 12 men working 5 hours a day to complete the same work.
Date posted: September 20, 2019. Answers (1)
- Write the expression of (2 – 1/5 x)6 up to the term in x4. Hence use the expansion to find the value of (1.96)6 correct...(Solved)
Write the expression of (2 – 1/5 x)6 up to the term in x4. Hence use the expansion to find the value of (1.96)6 correct to 3 decimal places.
Date posted: September 20, 2019. Answers (1)
- The position vectors of points A and B are a = 2i + j – 8k and b = 3i +2j – 2k respectively....(Solved)
The position vectors of points A and B are a = 2i + j – 8k and b = 3i +2j – 2k respectively. Find the magnitude of AB.
Date posted: September 20, 2019. Answers (1)
- A quantity P varies partly as t and partly as the square of t.When t = 20, p = 45 , and when t =...(Solved)
A quantity P varies partly as t and partly as the square of t.When t = 20, p = 45 , and when t = 24 , p = 60.
a)Express p in terms of t.
b)Find p when t = 32.
Date posted: September 20, 2019. Answers (1)
- In the figure below ABC is a tangent to the circle at point B.Given that BE =6.9cm, FE=7.8cm,GE=4.1cm,DC=11.2cm and ED = xcm.Determine the length BC,give...(Solved)
In the figure below ABC is a tangent to the circle at point B.Given that BE =6.9cm, FE=7.8cm,GE=4.1cm,DC=11.2cm and ED = xcm.Determine the length BC,give your answer in four significant figures.
![fig6620920191322.png](/questions/uploads/fig6620920191322.png)
Date posted: September 20, 2019. Answers (1)
- Find the radius and the co-ordinates of the centre of the circle whose equation is
½ x2+ ½ y2 =3x – 5y – 9.(Solved)
Find the radius and the co-ordinates of the centre of the circle whose equation is
½ x2+ ½ y2 =3x – 5y – 9.
Date posted: September 20, 2019. Answers (1)
- Given that the matrix has no inverse, find x.(Solved)
Given that the matrix
has no inverse, find x.
Date posted: September 20, 2019. Answers (1)
- The dimensions of a cuboid are 4.5cm by 3.5cm by 2cm.Find the percentage error in its volume giving your answer to 2 significant figure.(Solved)
The dimensions of a cuboid are 4.5cm by 3.5cm by 2cm.Find the percentage error in its volume giving your answer to 2 significant figure.
Date posted: September 20, 2019. Answers (1)
- Given that Find the values of a and b.(Solved)
Given that
Find the values of a and b.
Date posted: September 20, 2019. Answers (1)
- Determine the amplitude, period and the phase angle of the wave represented by the equation.(Solved)
Determine the amplitude, period and the phase angle of the wave represented by the equation.
![fig5820920191303.png](/questions/uploads/fig5820920191303.png)
Date posted: September 20, 2019. Answers (1)
- Express the recurring decimal below as a fraction; 4.372 leaving your answer in the form of a/b where a and ...(Solved)
Express the recurring decimal below as a fraction; 4.372 leaving your answer in the form of a/b where a and b are integers.
Date posted: September 20, 2019. Answers (1)
- Make a the subject of the formula.(Solved)
Make a the subject of the formula.
![fig5520920191257.png](/questions/uploads/fig5520920191257.png)
Date posted: September 20, 2019. Answers (1)
- Use logarithms only to evaluate,
Correct to four significant figures.(Solved)
Use logarithms only to evaluate,
![fig5320920191252.png](/questions/uploads/fig5320920191252.png)
Correct to four significant figures.
Date posted: September 20, 2019. Answers (1)