- A frustrum whose vertical height is 4cm is formed by cutting the top of a cone parallel to the base if the two radii of...(Solved)
A frustrum whose vertical height is 4cm is formed by cutting the top of a cone parallel to the base if the two radii of the frustrum are 6cm and 8cm respectively, determine the height of the original cone.
Date posted: October 1, 2019. Answers (1)
- In the figure below (not drawn to scale) has points P, Q, R and S on the circumference of the circle
centre O, such that PQ...(Solved)
In the figure below (not drawn to scale) has points P, Q, R and S on the circumference of the circle
centre O, such that PQ is parallel to SR and angle SRQ = 125o
Determine the size of angle:-
a) QOS obtuse
b) QPS
c) SQR
Date posted: October 1, 2019. Answers (1)
- During a certain period the exchange rates at a Pesa point were;(Solved)
During a certain period the exchange rates at a Pesa point were;
Buying shs...................... Selling shs
Riyal 19.68....................... 19.78
A tourist arrived with 5480 Riyal which he changed to Kshs. He spend 2/3 of the total in visiting various sites. As he was leaving he changed all he had to Riyal. How much did he leave with? Answer to 1 d.p.
Date posted: October 1, 2019. Answers (1)
- Factorise and hence simplify completely(Solved)
Factorise and hence simplify completely
Date posted: October 1, 2019. Answers (1)
- Complete the table below for y=2 sin x and y= cos ½ x(Solved)
Complete the table below for y=2 sin x and y= cos ½ x
Date posted: September 30, 2019. Answers (1)
- Find the value of x given that is a singular matrix.(Solved)
Find the value of x given that 
is a singular matrix.
Date posted: September 30, 2019. Answers (1)
- A transport company has two types of vehicles for hire: lorries and buses. The vehicles are hired
per day. The cost of hiring two lorries and...(Solved)
A transport company has two types of vehicles for hire: lorries and buses. The vehicles are hired
per day. The cost of hiring two lorries and five buses is sh. 156000 and that of hiring 4 lories and
three buses is sh. 137,000
(i) Form two equations to represent the above information.
(ii) Use matrix method to determine the cost of hiring a lorry and that of hiring a bus.
Date posted: September 30, 2019. Answers (1)
- Find the inverse of the matrix.(Solved)
Find the inverse of the matrix.
Date posted: September 30, 2019. Answers (1)
- A group of people planned to contribute sh.2000 000 to start a business. However before the contributions were made the group disintegrated and 40 members...(Solved)
A group of people planned to contribute sh.2000 000 to start a business. However before the contributions were made the group disintegrated and 40 members pulled out. A a result each of the remaining members were to contribute sh. 2500 more/
(a) Find the original number of members in the group.
(b) After each member contributing half of the expected amount the members opted to get a bank
That would offset ¼ of the remaining amount. How much would each member contribute after
he bank loan.
(c) Twenty new members joined the group just before the business started. As a result the old
Members were to be refunded some money. How much was the refund?
Date posted: September 30, 2019. Answers (1)
- Complete the table below for y=2x2-x-3(Solved)
Complete the table below for y=2x2-x-3
Date posted: September 30, 2019. Answers (1)
- Hellen’s earnings are as follows:
Basic salary sh. 38000 per month
House allowance sh. 14000 per months
Travelling allowance sh.8500 per month and
Medical allowance Ksh.3300 per month.
She is...(Solved)
Hellen’s earnings are as follows:
Basic salary sh. 38000 per month
House allowance sh. 14000 per months
Travelling allowance sh.8500 per month and
Medical allowance Ksh.3300 per month.
She is given a personal relief of Ksh. 12672
The table for payable tax is shown below
Income in K£ p.a Payable tax rate in Kshs per K£
0-6000 2
6001-12000 3
12001-18000 4
18001 -24000 5
24001-30000 6
30001-36000 7
36001-42000 8
42001-48000 9
Over 48000 10
Calculate
(a) (i) Hellen’s taxable income in K£ p.a
(ii) Her P.A.Y.E
(b) Hellen is deducted the following items per month
NHIF Ksh.320
Cooperative shares Ksh.2000
Loan repayment Ksh5000
Determine her net salary per month
Date posted: September 30, 2019. Answers (1)
- Use logarithms only to evaluate(Solved)
Use logarithms only to evaluate
Date posted: September 30, 2019. Answers (1)
- Without using mathematical tables or a calculator evaluate;(Solved)
Without using mathematical tables or a calculator evaluate;
Date posted: September 30, 2019. Answers (1)
- Position vectors A and B are 3i+2j+k and –i+3j+4k respectively. Determine the magnitude of AB.(Solved)
Position vectors A and B are 3i+2j+k and –i+3j+4k respectively. Determine the magnitude of AB.
Date posted: September 30, 2019. Answers (1)
- From a point A the angle of elevation of the top of a tree is 250. From another point B which is 10m from the...(Solved)
From a point A the angle of elevation of the top of a tree is 250. From another point B which is 10m from the base of the tree, the angle of elevation of the top of the tree is 36.5. Giving your answer to 1 decimal place
(a) Determine the height of the tree.
(b) Calculate the distance between A and B.
Date posted: September 30, 2019. Answers (1)
- The first term of a geometric sequence is 16 and the fifth term is 81 find the sum of the first 10 terms giving your...(Solved)
The first term of a geometric sequence is 16 and the fifth term is 81 find the sum of the first 10 terms giving your answer correct to 2 decimal places.
Date posted: September 30, 2019. Answers (1)
- Solve for x.
2 log + log 5 =1+2log 4(Solved)
Solve for x.
2 log + log 5 =1+2log 4
Date posted: September 30, 2019. Answers (1)
- Jane invested sh. P at 7.5% p.a compound interest in a bank. After 8 years she was given sh. 30,000. Calculate to the nearest shilling...(Solved)
Jane invested sh. P at 7.5% p.a compound interest in a bank. After 8 years she was given sh. 30,000. Calculate to the nearest shilling the value of P.
Date posted: September 30, 2019. Answers (1)
- State all the intergral values of x that satisfy the following inequality.
2x-3=3x+5=7x+6(Solved)
State all the intergral values of x that satisfy the following inequality.
2x-3≤3x+5≥7x+6
Date posted: September 30, 2019. Answers (1)
- The cost of water is partly constant and partly varies as the number of units consumed. A family that use 10 units pays sh. 320...(Solved)
The cost of water is partly constant and partly varies as the number of units consumed. A family that use 10 units pays sh. 320 and a family that uses 12 units uses sh. 370 for water. Calculate the amount paid by a family that uses 20 units of water in a month.
Date posted: September 30, 2019. Answers (1)