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- A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the...(Solved)
A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the metal is lost. Calculate:
a)In terms of π the volume of metal used to make the cylinder.
b)The radius of the cylinder
Date posted: October 29, 2019. Answers (1)
- Evaluate without using calculator:(Solved)
Evaluate without using calculator:
Date posted: October 29, 2019. Answers (1)
- Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A,...(Solved)
Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A, B and C are collinear.
Date posted: October 29, 2019. Answers (1)
- A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of...(Solved)
A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of 50km/h. Find the average speed of 50km/h.
Find the average speed for the whole journey.
Date posted: October 29, 2019. Answers (1)
- Mutua wants to erect a fence around his house using posts. Whenever he uses 5, 8 or 10 posts along one side, he is always...(Solved)
Mutua wants to erect a fence around his house using posts. Whenever he uses 5, 8 or 10 posts along one side, he is always left with 2 posts. Find the number of posts Mutua has for one side of the fence.
Date posted: October 29, 2019. Answers (1)
- Work out and give your answer in a simplified form.(Solved)
Work out and give your answer in a simplified form.
Date posted: October 29, 2019. Answers (1)
- Use the taxation rates table below to answer the questions that follow.
A civil servant is entitled to a monthly personal relief of Ksh. 3000 and...(Solved)
Use the taxation rates table below to answer the questions that follow.
A civil servant is entitled to a monthly personal relief of Ksh. 3000 and her tax (PAYE) is ksh. 9000 per month. She is deducted NHIF ksh. 350 per month. WCPS ksh. 800 and co-op shares ksh. 1200 per month. Calculate:
a)The civil servant’s total deduction per month.
b)Total tax per month.
c)The civil servant’s annual gross salary
d)The civil servant’s basic salary if her monthly house allowance and medical allowances are ksh.10000 and ksh. 2000 respectively.
Date posted: October 16, 2019. Answers (1)
- An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a...(Solved)
An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a radio and TV cost sh. 4000 and sh. 12000 respectively and he has sh. 240000 to spend. The number of TV sets should be at most twice the number of radios. He must buy more than 5 TV sets.
a)Form all inequalities to represent above information.
b)If the dealer makes a profit of sh.600 and sh.1000 per radio and TV set respectively, find the maximum possible profit.
Date posted: October 16, 2019. Answers (1)
- Complete the table below for y = sin 2x and y = (2x + 300) giving values to 2dp.(Solved)
Complete the table below for y = sin 2x and y = (2x + 300) giving values to 2dp.
Date posted: October 16, 2019. Answers (1)
- A married couple intends to have 3 children. They consult an expert who tells them that the probability of a male birth is 0.6.
a)Draw a...(Solved)
A married couple intends to have 3 children. They consult an expert who tells them that the probability of a male birth is 0.6.
a)Draw a tree diagram to represent this occurrence.
b)Find the probability that:
i) All the three children will be female.
ii) At least a male is born.
iii)At least 2 will be females.
Date posted: October 16, 2019. Answers (1)
- In the figure below ABCDE, AB = 2.5cm, AE = 10cm, ED = 5.2cm and DC = 6.9cm.
Construct the locus of points equidistant from CD...(Solved)
In the figure below ABCDE, AB = 2.5cm, AE = 10cm, ED = 5.2cm and DC = 6.9cm.
Construct the locus of points equidistant from CD and CB.
Date posted: October 16, 2019. Answers (1)
- Five people can build four huts in 28 days. Find the number of people working at the same rate that will build 10 similar huts...(Solved)
Five people can build four huts in 28 days. Find the number of people working at the same rate that will build 10 similar huts in 16 days.
Date posted: October 16, 2019. Answers (1)
- Find the inverse of hence solve the simultaneous equations.
2x + 5y = 34
x + 2y = 21(Solved)
Find the inverse of 
hence solve the simultaneous equations.
2x + 5y = 34
x + 2y = 21
Date posted: October 16, 2019. Answers (1)
- The first four terms of a GP are 81, m, n, 3. Find the values of m and n. (Solved)
The first four terms of a GP are 81, m, n, 3. Find the values of m and n.
Date posted: October 16, 2019. Answers (1)
- Find the standard deviation of the given data.(Solved)
Find the standard deviation of the given data.
Date posted: October 16, 2019. Answers (1)
- Evaluate(Solved)
Evaluate 
Date posted: October 16, 2019. Answers (1)
- If a = 3 i + 2j + 5k and b = i – j – k find |2a - 3b|(Solved)
If a = 3 i + 2j + 5k and b = i – j – k find |2a - 3b|
Date posted: October 16, 2019. Answers (1)
- Change the subject of f= to L(Solved)
Change the subject of f=
to L
Date posted: October 16, 2019. Answers (1)
- Find the equation of a normal to the curve y = 2x2 – 4x + 2 at point (3, 1)(Solved)
Find the equation of a normal to the curve y = 2x2 – 4x + 2 at point (3, 1)
Date posted: October 16, 2019. Answers (1)
- In the figure below ADE and AB are tangent to the circle at D and B respectively.
Angle DAB = 400 and angle CDE =...(Solved)
In the figure below ADE and AB are tangent to the circle at D and B respectively.
Angle DAB = 400 and angle CDE = 650
Giving a reason for your answers, find the size of:
a)ADB
b)ABC
Date posted: October 16, 2019. Answers (1)