- A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage...(Solved)
A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage tap empties the bath tub in 2 minutes. If initially the bath tub is full and the three taps are opened at the same time. Find how long it takes to empty the bath tub.
Date posted: September 16, 2019. Answers (1)
- A curve has the equation . y= 3cos(4x + 600)
State
(a)amplitude
(b)Period
(c)phase angle.
(Solved)
A curve has the equation . y= 3cos(4x + 600)
State
(a)amplitude
(b)Period
(c)phase angle.
Date posted: September 16, 2019. Answers (1)
- The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form ...(Solved)
The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form
ax2 + by2 + cx + dy + e = 0
Date posted: September 16, 2019. Answers (1)
- The table below shows some values if the function y= x2 + x + 1
(a) Fill the blank spaces in the table.
(b) Use mid – ordinate...(Solved)
The table below shows some values if the function y= x2 + x + 1
(a) Fill the blank spaces in the table.
(b) Use mid – ordinate rule with 5 strips to estimate the area bounded by the curve y= x2 + x + 1, y – axis, x-axis and the line x =5
Date posted: September 16, 2019. Answers (1)
- The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%,...(Solved)
The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%, labour cost by 18% and materials by 40%. Find the percentage increase of producing the new commodity.
Date posted: September 16, 2019. Answers (1)
- Write down the inequalities that define the region IR.(Solved)
Write down the inequalities that define the region IR.
Date posted: September 16, 2019. Answers (1)
- Given that 2log2t + logt2 = 3 Calculate the value of t.(Solved)
Given that 2log2t + logt2 = 3 Calculate the value of t.
Date posted: September 16, 2019. Answers (1)
- A triangle ABC is transformed by the matrix
to give a straight line. Find the acute angle x in the matrix.
(Solved)
A triangle ABC is transformed by the matrix
to give a straight line. Find the acute angle x in the matrix.
Date posted: September 16, 2019. Answers (1)
- Use completing squares method to solve for X
3x2 +18x + 15 = 0(Solved)
Use completing squares method to solve for X
3x2 +18x + 15 = 0
Date posted: September 16, 2019. Answers (1)
- Use logarithm tables to evaluate.(Solved)
Use logarithm tables to evaluate.
Date posted: September 16, 2019. Answers (1)
- Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is...(Solved)
Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is raised by 155.If he gets tax relief of sh.720 per month calculate his P.A.Y.E
Date posted: September 16, 2019. Answers (1)
- Claire earns sh.15,900 p.m and gets a tax relief of sh.7,200 p.a.How much should she pay as income tax p.m if taxation rates are as...(Solved)
Claire earns sh.15,900 p.m and gets a tax relief of sh.7,200 p.a.How much should she pay as income tax p.m if taxation rates are as shown below.
Date posted: September 16, 2019. Answers (1)
- Without using a set square or a protractor
(a)Construct a horizontal line AB, 6cm long and triangle ABC such that 0 and line AB =10cm.
(b)Construct a...(Solved)
Without using a set square or a protractor
(a)Construct a horizontal line AB, 6cm long and triangle ABC such that 0 and line AB =10cm.
(b)Construct a perpendicular from a to meet BC produced at N.
Measure CN.
(c)Construct triangle AIBC such that the area of triangle A1BC is three quarters of triangle ABC and A1 is on the same side of BC as A and lies on AB.measure A1B.
Date posted: September 16, 2019. Answers (1)
- A plane flies from airport x(600S,300E) due North to airport Y.(300N,300E) at 180knots.
After 20 minutes stop over for fueling at Y,the plane flew due wet...(Solved)
A plane flies from airport x(600S,300E) due North to airport Y.(300N,300E) at 180knots.
After 20 minutes stop over for fueling at Y,the plane flew due wet to an airport Z(300N,150E) at the same speed.
(a)(i) Calculate the total distance covered by the plane in nautical miles
(ii) Calculate the total time taken to complete the journey from X through Y to Z.
(b) From a certain latitude a plane is first visible over the north pole. The plane is flying at a height of 800km above the North Pole, calculate the latitude angle
(R=6370km)
Date posted: September 16, 2019. Answers (1)
- (a)Fill the table below and use it to draw the graph of
(b) State the amplitude and period of the graph
(c) Use your graph to solve the...(Solved)
(a)Fill the table below and use it to draw the graph of 
(b) State the amplitude and period of the graph
(c) Use your graph to solve the equation cos (θ - 300) =0.25
Date posted: September 16, 2019. Answers (1)
- The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda...(Solved)
The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda the probability that he is late to school is 2/5 and if he uses a matatu the probability of being late is 3/10 . If he use other means of transport the probability of being late is 3/20 .
(a) Draw a tree diagram to represent this information.
(b) Find the probability that he will be late for school.
(c) Find the probability that he will be late for school if he does not use a matatu.
(d) What is the probability that he will not be late to school
Date posted: September 16, 2019. Answers (1)
- R1 denotes reflection along line x=14.R2 denotes reflection along line x =2.T denote translation vector
[-1/2]
A triangle ABC has vertices A (1,4), B (3,4) and...(Solved)
R1 denotes reflection along line x=14.R2 denotes reflection along line x =2.T denote translation vector
[-1/2]
A triangle ABC has vertices A (1,4), B (3,4) and C (3,6)
(a)Show the image A1B1C1 under R1 (2mks)
(b)Find and draw A11B11C11 the image of A1B1C1 under R2. (3mks)
(c)Find and draw A11B11C11 the image of A11B11C11 under T. (3mks)
(d)Describe a single transformation which maps the object onto the final image.
Date posted: September 16, 2019. Answers (1)
- A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum...(Solved)
A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum of 6m.
(a)Find the volume of water that can be held by the full dip in litres
(b)If the dip is drained by a pipe of radius 15cm at the rate of 6m/l, how long will it take to drain a full dip?
Date posted: September 16, 2019. Answers (1)
- An equilateral triangle of sides 9cm is completely enclosed in a circle of radius rcm.Find the least value of r.(Solved)
An equilateral triangle of sides 9cm is completely enclosed in a circle of radius rcm.Find the least value of r.
Date posted: September 16, 2019. Answers (1)
- A variable u is partly constant and partly as the square of t. When t=2,u=0 and when t=1,u=3.Find
(a) the law connecting u and t.
(b) the value of...(Solved)
A variable u is partly constant and partly as the square of t. When t=2,u=0 and when t=1,u=3.Find
(a) the law connecting u and t.
(b) the value of u when t= 1/4
Date posted: September 16, 2019. Answers (1)