- The figure below shows a frustrum made from a right pyramid, such that(Solved)
The figure below shows a frustrum made from a right pyramid,such that AB=DC=16cm,BC=AD=10cm,FG=EH=18cm,GH=FE=7.5cm, CH=BG=AF=DE=15cm.If the altitude of the frustrum is 14.6cm,find:
(a) The altitude of the pyramid made from the frustum.
(b) The surface area of the frustum.
(c) The volume of the frustum.
Date posted: August 22, 2019. Answers (1)
- Three people; A , B and C work together to make a certain number of tins. If person C was to work alone he will...(Solved)
Three people; A , B and C work together to make a certain number of tins. If person C was to work alone he will take 4 4/9 hours to complete the job. If all working together they will take 1hr 40min to complete the job. They all started working together however person B left after first 40min,while person C left 20min later. Person A took a further 1hr 46min. Calculate how long it would take if all the tins were made by;
a) Person A alone?
b) Person B alone?
c) Person A and C alone?
Date posted: August 22, 2019. Answers (1)
- a) Draw the graph of the function below on the grid provided(Solved)
a) Draw the graph of the function below on the grid provided
y = 2x2 – 7x – 2 for the values of -1≤X≤6
b) From your graph determine the roots of the function. 2x2 – 7x – 2 = 0
c) By drawing a suitable graph of function y = 2x – 7 on the same axis, solve the simultaneous equations y = 2x2 – 7x – 2 and y = 2x – 7.
Date posted: August 22, 2019. Answers (1)
- Town B is 20km N600W from village A. Town B is 25km 0400 from town C. Village D is
due East of town C and dues...(Solved)
Town B is 20km N600W from village A. Town B is 25km 0400 from town C. Village D is
due East of town C and dues South of village A
(a) Using a scale 1:500,000 draw a diagram showing a relative position of town B,
town C, village A and village D
(b) Determine
(i) Distance between village A and town C
(ii) Distance between town C and village D
(iii)Compass bearing of town C from village A
(iv) Compass bearing of village D from town
(c) Determine the area enclosed by the diagram in (a) above in hectares
Date posted: August 22, 2019. Answers (1)
- Solve for y in the equation.
log10(3?? + 2) - 1 = log10(?? - 4)(Solved)
Solve for y in the equation.
log10(3𝑦 + 2) − 1 = log10(𝑦 − 4)
Date posted: August 22, 2019. Answers (1)
- The angle of elevation of the top of a flagpole from a point A on a level ground is 130.(Solved)
The angle of elevation of the top of a flagpole from a point A on a level ground is 130.The angle of elevation of the top of the flagpole from another point B nearer the pole and 12m from A is 300. Find;
a)
i) The height of the flagpole
ii) The distance from point B to the top of the flagpole.
b) Tan 1050= -2- √3 .Determine the value of Tan 150 in surd form.
Date posted: August 22, 2019. Answers (1)
- The figure below shows a solid prism:-(Solved)
The figure below shows a solid prism:-
Sketch the net of the prism above and show with arrows the path ACDB and F via E
Date posted: August 22, 2019. Answers (1)
- (a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the...(Solved)
(a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the room is X m long; show that the length of the other side is 
b) By leaving a uniform width of ½ m uncovered all round, shs.700 could have been saved. Use this information to form an equation in x and show that it reduces to X2 – 11x + 28 = 0.
c) Solve the equation and hence find the dimensions of the room
Date posted: August 22, 2019. Answers (1)
- Solve the inequality below hence represent the solution in a number line.(Solved)
Solve the inequality below hence represent the solution in a number line.
Date posted: August 22, 2019. Answers (1)
- Find the mass of a wooden beam 4m long, 25cm wide and 18cm high if the density of the wood is 625kg/m3.(Solved)
Find the mass of a wooden beam 4m long, 25cm wide and 18cm high if the density of the wood is 625kg/m3.
Date posted: August 22, 2019. Answers (1)
- Solve for the equation(Solved)
Solve for the equation
Date posted: August 22, 2019. Answers (1)
- King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.(Solved)
King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.If he spends Kshs.1800 on transport, find how much money he saves.
Date posted: August 22, 2019. Answers (1)
- A Line passes through A (1, 1) and B(x, y). The mid-point of AB is (3, 5). If line BC is perpendicular to AB, find...(Solved)
A Line passes through A (1, 1) and B(x, y). The mid-point of AB is (3, 5). If line BC is perpendicular to AB, find the equation of line BC.
Date posted: August 22, 2019. Answers (1)
- A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the...(Solved)
A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the number formed when the digits are interchanged. Find the number.
Date posted: August 22, 2019. Answers (1)
- A bus service number 4 leaves a terminus every 15 minutes. Services 8 and 3 leaves after every 20 and 30 minutes respectively. If all...(Solved)
A bus service number 4 leaves a terminus every 15 minutes. Services 8 and 3 leaves after every 20 and 30 minutes respectively. If all the three services leave together at 6.00 am, what is the earliest time the three buses will leave together again?
Date posted: August 22, 2019. Answers (1)
- The figure below shows a circle centre O. Chord AB subtends 300 at the centre.(Solved)
The figure below shows a circle centre O. Chord AB subtends 300 at the centre. If the area of the minor segment is 5.25cm2, find the radius of the circle.
Date posted: August 22, 2019. Answers (1)
- Solve for X in the equation.(Solved)
Solve for X in the equation.
Date posted: August 22, 2019. Answers (1)
- The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the...(Solved)
The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the triangle.
Date posted: August 22, 2019. Answers (1)
- Mbom paid Kshs.160 for a blouse after getting a discount of 20%.(Solved)
Mbom paid Kshs.160 for a blouse after getting a discount of 20%.The vendor made a profit of 30% on the sale of this blouse. What percentage profit would the vendor have made if no discount was allowed?
Date posted: August 22, 2019. Answers (1)
- Find the equation of the perpendicular line that passes through the mid – point X of C( - 7 , 8) and
D ( 3...(Solved)
Find the equation of the perpendicular line that passes through the mid – point X of C( - 7 , 8) and
D ( 3 , - 8)
Date posted: August 22, 2019. Answers (1)