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- In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the...(Solved)
In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the size of the angles below giving reasons:
(a) PTS
(b) RTQ
(c) TSR
(d) TQR
(e) PSQ
Date posted: September 19, 2019. Answers (1)
- Find the number of terms in the series
a+3a+9a+……………….+243a . (Solved)
Find the number of terms in the series
a+3a+9a+……………….+243a .
Date posted: September 19, 2019. Answers (1)
- Evaluate using logarithms. (Solved)
Evaluate using logarithms.
Date posted: September 19, 2019. Answers (1)
- The probability that a healthy animal being brought into contact with an infecting agent and gets the germ is 0.80. The probability that an animal...(Solved)
The probability that a healthy animal being brought into contact with an infecting agent and gets the germ is 0.80. The probability that an animal infected with germs develops the disease is 0.90. The probability that an animal which has developed the disease will survive is 0.75. What is the probability that a healthy animal brought into contact with the infecting agent will die?
Date posted: September 19, 2019. Answers (1)
- Given that 9x2+36x-40+k is a perfect square, find the value of k. (Solved)
Given that 9x2+36x-40+k is a perfect square, find the value of k.
Date posted: September 19, 2019. Answers (1)
- Town X is east of town Y where town Y is (15oN, 3oW). The local time at X is 2.00pm when the local time at...(Solved)
Town X is east of town Y where town Y is (15oN, 3oW). The local time at X is 2.00pm when the local time at Y is 4.00pm. Find the position of town X.
Date posted: September 19, 2019. Answers (1)
- State the nature of the turning points of the curve.
y=x3+6x2-15x+24
(Solved)
State the nature of the turning points of the curve.
y=x3+6x2-15x+24
Date posted: September 19, 2019. Answers (1)
- Expand (x-1/2x)6 upto the fourth term and state its constant term, hence use the first four terms to solve (9.95)6 to (4 s.f) (Solved)
Expand (x-1/2x)6 upto the fourth term and state its constant term, hence use the first four terms to solve (9.95)6 to (4 s.f)
Date posted: September 19, 2019. Answers (1)
- In the circle below, two chords PQ and RS intersect externally at T. Find the length of TS if QT=3cm and RS=5cm and PQ=9cm.
(Solved)
In the circle below, two chords PQ and RS intersect externally at T. Find the length of TS if QT=3cm and RS=5cm and PQ=9cm.
Date posted: September 19, 2019. Answers (1)
- Given that the matrix is a singular matrix, find the value of k. (Solved)
Given that the matrix 
is a singular matrix, find the value of k.
Date posted: September 19, 2019. Answers (1)
- Make y the subject of the formula(Solved)
Make y the subject of the formula
Date posted: September 19, 2019. Answers (1)
- Find the limits within which the area of a parallelogram whose base is 8cm and height is 5cm lies. Hence find the relative error in...(Solved)
Find the limits within which the area of a parallelogram whose base is 8cm and height is 5cm lies. Hence find the relative error in the area.
Date posted: September 19, 2019. Answers (1)
- The diameter of circle has its ends with co-ordinates A (6,10) and B(0,2). Determine the equation of the circle giving your answer in the form...(Solved)
The diameter of circle has its ends with co-ordinates A (6,10) and B(0,2). Determine the equation of the circle giving your answer in the form of x2+y2+ax+by+c=0.
Date posted: September 19, 2019. Answers (1)
- Simplify the expression giving your answer in the form of a+bvc(Solved)
Simplify the expression 
giving your answer in the form of a+b√c
Date posted: September 19, 2019. Answers (1)
- The table below shows the age distribution of visitors who participated in Masinga district career day festival 2010.
a)On the grid provided draw the cumulative frequency...(Solved)
The table below shows the age distribution of visitors who participated in Masinga district career day festival 2010.
a)On the grid provided draw the cumulative frequency curve for the above information
b)Use your graph to estimate
i)The median age.
ii)Quartile deviation.
iii)Percentage of workers whose age is at least 37 years.
Date posted: September 19, 2019. Answers (1)
- At Mweinga farm, a cow takes at least 180 units of vitamin A and not less than 160 units of vitamin B. Vitamin A and...(Solved)
At Mweinga farm, a cow takes at least 180 units of vitamin A and not less than 160 units of vitamin B. Vitamin A and B are available in two types of feeds, x and y. Type x feeds contains 45 units per kg of vitamin A and 20 units per kg of vitamin B while type Y feeds contains 30 units per kg of vitamin A and 40 units of vitamin B. Taking x and y to be the number of Kgs of feed x and y respectively taken by the cow per day.
a)Form all the inequalities that represent the above information.
b)Show the region described by the all inequalities in (a) above graphically.
c)Given that 1kg of x costs sh40 and 1kg of y costs sh50, use your graph in (b) above to determine the least cost of maintaining a cow at the Mweinga farm.
Date posted: September 19, 2019. Answers (1)
- a) Complete the table below.
b) Draw the graphs of y = 2sin (½ x – 30)0and y = ½ Cos 2x for -1800= x =...(Solved)
a) Complete the table below.
b) Draw the graphs of y = 2sin (½ x – 30)0and y = ½ Cos 2x for -1800≤ x ≤ 1800. Use a scale of 2cm for 45o on x-axis and 1cm to 0.5 units on y-axis.
c) Use your graph to solve the equations.
i) 2 sin (½ x – 30) = 0.55
ii) 4 sin (½ x – 30) – Cos 2x = 0
d) State period of the equation y = 2 sin (½ x – 30)o.
Date posted: September 19, 2019. Answers (1)
- A ball is thrown upwards from the top of a cliff h metres above sea level with acceleration of -9.8m/s2 and an initial velocity of...(Solved)
A ball is thrown upwards from the top of a cliff h metres above sea level with acceleration of -9.8m/s2 and an initial velocity of 9.8m/s
i) Write down an expression for the height h of the ball above sea level if the height of the cliff is 100m.
ii) Calculate the greatest height reached by the ball above sea level.
Date posted: September 19, 2019. Answers (1)
- i)Sketch the curve y = x2 – 2x
ii) Use your sketch to find the areas between the x-axis and y = x2 – 2x from...(Solved)
i)Sketch the curve y = x2 – 2x
ii) Use your sketch to find the areas between the x-axis and y = x2 – 2x from x = 0 to x = 3.
Date posted: September 19, 2019. Answers (1)
- The table below shows the rate of taxation in a certain year.
Income in K£ p.a Rate of taxation shs per K£
1 – 3900 2
3901 – 7800 3
7801...(Solved)
The table below shows the rate of taxation in a certain year.
Income in K£ p.a Rate of taxation shs per K£
1 – 3900 2
3901 – 7800 3
7801 - 11700 4
11701 – 15600 5
15601 – 19500 7
Above 19500 9
In that period Mrs. Kalii earns a basic salary of kshs22,000 and is entitled to a house allowance of ksh10,000 per month. If she gets a personal relief of sh.1056 per month.
a)Calculate how much income tax she paid per month.
b)Mrs. Kalii’s other deductions per month were;
-Co-operative society contributions of Ksh.2,000
-Loan repayment kshs.2260
-Provident fund deducted through check off system at 2% of his basic salary.
Calculate his net monthly pay.
Date posted: September 19, 2019. Answers (1)