- The figure shows a water tank which consists of a hemispherical part surmounted on top of a cylindrical part. The two parts have the same...(Solved)
The figure shows a water tank which consists of a hemispherical part surmounted on top of a cylindrical part. The two parts have the same diameter of 2.1 M and the cylindrical part is 1.5 m high as shown. All surfaces of the tank are made of iron sheets. (Take π = 22/7)
(a) Allowing for 15% wastage in overlapping, calculate to 2d.p the area of iron sheets required.
(b) Ironsheet costs sh.400 per square meter while labour and other. Materials amountsto 50% of the cost of ironsheets. Find the cost of constructing the tank.
(c) Calculate the (i) volume of the tank in m3
(ii) capacity of the tank in litres.
Date posted: November 19, 2019. Answers (1)
- Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T.
(a) Determine the co-ordinates of T.
(b) Another...(Solved)
Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T.
(a) Determine the co-ordinates of T.
(b) Another line, L3 is perpendicular to line L2 and passes through point N(5,8).Determine its equation and leave the answer in the form of ax + by=c where a, b, and c are integers.
(c) Determine the equation of a perpendicular bisector of a line segment passing through points T and N.
Date posted: November 19, 2019. Answers (1)
- Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of...(Solved)
Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of S20°E from Q.Using the scale of 1cm rep 5km.
(a) Determine the actual distance between P and R.
(b) State the true bearing of P from R.
(c) Show a point x which is equidistant from the three towns.
(d) Determine the actual distance from x to town R.
Date posted: November 19, 2019. Answers (1)
- On a certain map, an estate is represented by an area of 48cm2. If the actual area of the estate is 1200Ha, find the scale...(Solved)
On a certain map, an estate is represented by an area of 48cm2. If the actual area of the estate is 1200Ha, find the scale of the map in the form 1: n.
Date posted: November 19, 2019. Answers (1)
- The following data was obtained from a Form IV examination results.
Complete the table above(Solved)
The following data was obtained from a Form IV examination results.
Complete the table above
Date posted: November 19, 2019. Answers (1)
- A Kenyan family intended to spent a holiday in France where Ksh 90,000 was exchanged into Francs.
Currency conversation rate is as follows
KES ...(Solved)
A Kenyan family intended to spent a holiday in France where Ksh 90,000 was exchanged into Francs.
Currency conversation rate is as follows
KES Buying (Francs) Selling (Francs)
Ksh 100 53.50 55.75
The family spent 37, 0000 Franc and changed the rest into Kenya shillings. How much did the holiday cost?
Date posted: November 19, 2019. Answers (1)
- Using tables of reciprocals evaluate(Solved)
Using tables of reciprocals evaluate
Date posted: November 19, 2019. Answers (1)
- Given that tan (90-x) = 3/4 without using calculators or tables,
Find: (i) Sin x
(ii) Cos (90 – x)(Solved)
Given that tan (90-x) = 3/4 without using calculators or tables,
Find: (i) Sin x
(ii) Cos (90 – x)
Date posted: November 19, 2019. Answers (1)
- A variable y varies partly as x and partly inversely as x. Given that y=17 when x=4 and y=13 when x=6, Determine;
(a) the law connecting...(Solved)
A variable y varies partly as x and partly inversely as x. Given that y=17 when x=4 and y=13 when x=6, Determine;
(a) the law connecting y and x.
(b) the value of y when x=10
Date posted: November 19, 2019. Answers (1)
- The diagram below shows a region R bounded by 3 lines L1, L2 and L3
Determine the 3 inequalities satisfied by the region marked R.(Solved)
The diagram below shows a region R bounded by 3 lines L1, L2 and L3
Determine the 3 inequalities satisfied by the region marked R.
Date posted: November 19, 2019. Answers (1)
- James left sh 430,500 to be shared by his wife, daughter and son in the ratio of 2:1:3 respectively. His wife decided to divide her...(Solved)
James left sh 430,500 to be shared by his wife, daughter and son in the ratio of 2:1:3 respectively. His wife decided to divide her share equally between her daughter and son. Find how much the daughter finally got.
Date posted: November 19, 2019. Answers (1)
- Last year, Onyango was four times as old as his son, in four years time, the sum of their ages will be 53. Determine their...(Solved)
Last year, Onyango was four times as old as his son, in four years time, the sum of their ages will be 53. Determine their present ages.
Date posted: November 19, 2019. Answers (1)
- Without using mathematical tables or a calculator, evaluate:(Solved)
Without using mathematical tables or a calculator, evaluate:
Date posted: November 19, 2019. Answers (1)
- Three numbers are such that m2n3k = 360. Find m, n, and k.(Solved)
Three numbers are such that m2n3k = 360. Find m, n, and k.
Date posted: November 19, 2019. Answers (1)
- A body starts from rest and after t seconds its velocity in ms-1 was recorded as shown below;
Use the trapezoidal rule to estimate the distance...(Solved)
A body starts from rest and after t seconds its velocity in ms-1 was recorded as shown below;
Use the trapezoidal rule to estimate the distance covered by the body between 1 and 6 seconds.
Date posted: November 19, 2019. Answers (1)
- Agotho has a rectangular plot that was measured to the nearest meter and found to be 80m in length and 60m in width. Determine the...(Solved)
Agotho has a rectangular plot that was measured to the nearest meter and found to be 80m in length and 60m in width. Determine the percentage error in its perimeter.
Date posted: November 19, 2019. Answers (1)
- Solve for x given that the following is a singular matrix(Solved)
Solve for x given that the following is a singular matrix 
Date posted: November 19, 2019. Answers (1)
- Evaluate without using Mathematical tables or a calculator.
2log5 - 1/2 log16 + 2 log40(Solved)
Evaluate without using Mathematical tables or a calculator.
2log5 - 1/2 log16 + 2 log40
Date posted: November 19, 2019. Answers (1)
- The region R in the figure below is defined by the inequalities L1, L2 and L3.
Find the three inequalities.(Solved)
The region R in the figure below is defined by the inequalities L1, L2 and L3.
Find the three inequalities.
Date posted: November 19, 2019. Answers (1)
- A regular polygon has internal angle of 1500 and side of length 10cm.
(a) Find the number of sides of the polygon.
(b) Find the perimeter...(Solved)
A regular polygon has internal angle of 1500 and side of length 10cm.
(a) Find the number of sides of the polygon.
(b) Find the perimeter of the polygon.
Date posted: November 19, 2019. Answers (1)