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- x and Y are complementary angles and Tanx=3v3 . Find the value of hence rationalize the surd.(Solved)
x and Y are complementary angles and Tanx=3√3 . Find the value of 
hence rationalize the surd.
Date posted: September 25, 2019. Answers (1)
- A point R divides vector PQ in the ratio 5: -2. Find the coordinates of R given that P (3, -6) and Q (-9,...(Solved)
A point R divides vector PQ in the ratio 5: -2. Find the coordinates of R given that P (3, -6) and Q (-9, 2).
Date posted: September 25, 2019. Answers (1)
- A shopkeeper mixes sugar costing Sh.40 per kg with another type which costs Sh.60 per kg. Find the ratio in which the two types...(Solved)
A shopkeeper mixes sugar costing Sh.40 per kg with another type which costs Sh.60 per kg. Find the ratio in which the two types should be mixed so that if a kilogram of the mixture is sold at Sh.55, a profit of 10% is realised.
Date posted: September 25, 2019. Answers (1)
- Find the inverse of the matrix hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5(Solved)
Find the inverse of the matrix 
hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5
Date posted: September 25, 2019. Answers (1)
- Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4(Solved)
Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4
Date posted: September 25, 2019. Answers (1)
- (a)Without using a calculator, expand (10 - 2x)5.
(b)Use your expansion in (a) above to find the value of (9.8)5.(Solved)
(a)Without using a calculator, expand (10 - 2x)5.
(b)Use your expansion in (a) above to find the value of (9.8)5.
Date posted: September 25, 2019. Answers (1)
- y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10...(Solved)
y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10 is 16. Find the law connecting x and y.
Date posted: September 25, 2019. Answers (1)
- Solve the equation.(Solved)
Solve the equation.
sin(2x-300)=1/2 for 00 ≤ x ≤ 3600
Date posted: September 25, 2019. Answers (1)
- Make M the subject in(Solved)
Make M the subject in 
Date posted: September 25, 2019. Answers (1)
- A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.(Solved)
A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.
Date posted: September 25, 2019. Answers (1)
- Evaluate using logarithms.(Solved)
Evaluate using logarithms.
Date posted: September 25, 2019. Answers (1)
- In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ?, ¾ and ? respectively
(a)Draw a tree diagram to represent...(Solved)
In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ⅔, ¾ and ⅚ respectively
(a)Draw a tree diagram to represent this information
(b)Use the tree diagram to find the probability that:
(i)All the three students will fail
(ii)At least two students will pass.
(iii)Only one student will pass
Date posted: September 24, 2019. Answers (1)
- The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 ...(Solved)
The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 2
326 - 975 3
976 - 1300 5
1301 - 1625 6
Over 1625 7.5
(a)Mr. Sigei is a public servant who lives in a government house and pays a nominal rent of Ksh. 1220 per month. He earns a basic salary of Ksh. 24,800 and taxable allowances of Ksh. 13,380 per month. He is entitled to a monthly tax relief of Ksh. 1120. Calculate his monthly
i)Taxable income in K£.
ii)Gross tax.
iii)Tax due
(b)Apart from income tax, the following monthly deductions are made from his salary.
i) HELB loan repayment Ksh. 2400
ii) NHIF Ksh 320
iii) 2% basic salary as union dues.
Calculate Mr. Sigei’s monthly net salary.
Date posted: September 24, 2019. Answers (1)
- The table below shows the distribution of marks of 40 candidates in a test
(i) Find the value of x
(ii) State the modal class
(iii) Calculate the...(Solved)
The table below shows the distribution of marks of 40 candidates in a test
(i) Find the value of x
(ii) State the modal class
(iii) Calculate the median
(iv) Calculate the mean.
Date posted: September 24, 2019. Answers (1)
- Without using logarithm table or calculators, find the value of p in the equation.
logn3+log4n = 10log2 - log(2/8)(Solved)
Without using logarithm table or calculators, find the value of p in the equation.
logn3+log4n = 10log2 - log(2/8)
Date posted: September 24, 2019. Answers (1)
- A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum...(Solved)
A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum of its value in 3 years ago and 3 years’ time.
Date posted: September 24, 2019. Answers (1)
- Rationalize the denominator leaving your answer in the form a+bvc where a, b and c are constants
(Solved)
Rationalize the denominator leaving your answer in the form a+b√c where a, b and c are constants
Date posted: September 24, 2019. Answers (1)
- Solve for q in the equation Sin (3? + 1200) = v3/2 in the range 0= ? = 1800(Solved)
Solve for q in the equation Sin (3θ + 1200) = √3/2 in the range 0≤ θ ≤ 1800
Date posted: September 24, 2019. Answers (1)
- Expand (0.07)5 using binomial theorem giving your answer to four significant figures(Solved)
Expand (0.07)5 using binomial theorem giving your answer to four significant figures
Date posted: September 24, 2019. Answers (1)
- Without using mathematical tables or a calculator evaluate
Leaving the answer as a decimal(Solved)
Without using mathematical tables or a calculator evaluate
Leaving the answer as a decimal
Date posted: September 24, 2019. Answers (1)