- The diagram below represents a solid made up of a hemisphere mounted on a cone. The common radius is 6cm and the height of the...(Solved)
The diagram below represents a solid made up of a hemisphere mounted on a cone. The common radius is 6cm and the height of the solid is 15cm.
Calculate the external surface area of the solid
Date posted: November 5, 2019. Answers (1)
- Use Logarithms to evaluate(Solved)
Use Logarithms to evaluate
Date posted: November 5, 2019. Answers (1)
- Given that sin (3x – 50)0 – Cos (x + 20)0 = 0 and x is an acute angle; find the value of x(Solved)
Given that sin (3x – 50)0 – Cos (x + 20)0 = 0 and x is an acute angle; find the value of x
Date posted: November 5, 2019. Answers (1)
- Evaluate ; 36x-1 + 62x - 222 = 0(Solved)
Evaluate ; 36x-1 + 62x - 222 = 0
Date posted: November 5, 2019. Answers (1)
- The sum of interior angles of a triangle is given by (10x -2y)0 while that of a hexagon is given by (30x + 24y)0. Calculate...(Solved)
The sum of interior angles of a triangle is given by (10x -2y)0 while that of a hexagon is given by (30x + 24y)0. Calculate the values of x and y.
Date posted: November 5, 2019. Answers (1)
- The ratio of goats to cows in a farm is 2:5 while the ratio of sheep to cows is 3:4. If there are 15 sheep,...(Solved)
The ratio of goats to cows in a farm is 2:5 while the ratio of sheep to cows is 3:4. If there are 15 sheep, how many animals are there in the farm.
Date posted: November 5, 2019. Answers (1)
- Evaluate without using a calculator(Solved)
Evaluate without using a calculator
Date posted: November 5, 2019. Answers (1)
- Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the...(Solved)
Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation V = 3t2 -15t + 18.
Find
a) The values of t for which P is instantaneously at rest.
b) An expression in terms of t for the distance P from O after t seconds.
c) The total distance traveled by P in the first 4 seconds after passing point O.
d) The distance P from O when the acceleration of P is zero.
Date posted: November 5, 2019. Answers (1)
- The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7....(Solved)
The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7. If we do not host the probability of winning soccer is 0.4. If we win soccer the probability of winning rugby is 0.8, otherwise if we lose the probability of winning rugby is 0.3.
a) Draw a tree diagram to represent this information.
b) Use the tree diagram to find:-
i) The probability that we will lose both games.
ii) The probability that we will win only one game.
iii) The probability that we will host and lose both games.
Date posted: November 5, 2019. Answers (1)
- (a) Complete the table below for the equation y = x3 – 3x2 – 9x + 2.
b) On the grid provided draw the graph of...(Solved)
(a) Complete the table below for the equation y = x3 – 3x2 – 9x + 2.
b) On the grid provided draw the graph of y = x3 – 3x2 – 9x + 2 for -3 < x < 5.
Use the scale: 1cm rep 1 unit on x – axis
1cm rep 5 units on y – axis
c) i) Use your graph to solve the equation
x3 – 3x2 – 9x + 2 = 0
ii) By drawing a suitable straight line on the graph solve the equation.
x3 – 3x2 – 9x + 2 = -2x – 4
Date posted: November 5, 2019. Answers (1)
- The table below shows income tax rates
a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is...(Solved)
The table below shows income tax rates
a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is deducted from his total earnings in form of income tax. Calculate Mr. Juma’s taxable income in Ksh per month.
b) Mr. Juma other deductions include:
5% of basic salary as cooperative shares
2% of basic salary as WCPS
Insurance policy Ksh 2800
Co-operative shares Ksh 1500
Given that his taxable allowances is Ksh 28400, calculate his net pay.
Date posted: November 5, 2019. Answers (1)
- Find the number of terms that will give a sum of 800 in the series.
2 + 6 + 10 + …….(Solved)
Find the number of terms that will give a sum of 800 in the series.
2 + 6 + 10 + …….
Date posted: November 5, 2019. Answers (1)
- The points A, B and C lies on a straight line. The position vectors of A and C are 2i + 3j + 9k and...(Solved)
The points A, B and C lies on a straight line. The position vectors of A and C are 2i + 3j + 9k and 5i – 3j + 4k respectively. B divides AC internally in the ratio 2:1. Find the position vector of B.
Date posted: November 5, 2019. Answers (1)
- The table below represents a relationship between two variables x and y.
a) On the grid provided draw the line of best fit.
b) Use the...(Solved)
The table below represents a relationship between two variables x and y.
a) On the grid provided draw the line of best fit.
b) Use the graph to find the value of y when x = 0
Date posted: November 5, 2019. Answers (1)
- Solve for x in the equation.
(Solved)
Solve for x in the equation.
Date posted: November 5, 2019. Answers (1)
- The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of...(Solved)
The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of the data.
Date posted: November 5, 2019. Answers (1)
- Find the radius and centre of a circle whose equation is x2 + 4x + y2 – 8y + 11 = 0.(Solved)
Find the radius and centre of a circle whose equation is x2 + 4x + y2 – 8y + 11 = 0.
Date posted: November 5, 2019. Answers (1)
- State the amplitude and the phase angle of the curve (Solved)
State the amplitude and the phase angle of the curve 
Date posted: November 5, 2019. Answers (1)
- A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments...(Solved)
A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments of sh. 1250 each. Calculate the rate of interest per annum.
Date posted: November 5, 2019. Answers (1)
- a) Expand (1 -2x)4
b) Use the first four terms of your expansion to find the value of (0.99)4(Solved)
a) Expand (1 -2x)4
b) Use the first four terms of your expansion to find the value of (0.99)4
Date posted: November 5, 2019. Answers (1)