- Solve for theta given that 2sin theta=tan theta for 00 less than or = theta less than or = 3600. (Solved)
Solve for theta given that 2sin theta=tan theta for 00 less than or = theta less than or = 3600.
Date posted: September 24, 2019. Answers (1)
- Given the expression 9.7 ÷ 3.7, find to four significant figures the percentage error in its quotient. (Solved)
Given the expression 9.7 ÷ 3.7, find to four significant figures the percentage error in its quotient.
Date posted: September 24, 2019. Answers (1)
- Evaluate using logarithms. (Solved)
Evaluate using logarithms.
Date posted: September 24, 2019. Answers (1)
- The data below shows length of leaves in a plant in mm. Complete the table.
Using D, calculate;
(i) The mean
(ii) The variance
(iii) The standard deviation(Solved)
The data below shows length of leaves in a plant in mm. Complete the table.
Using D, calculate;
(i) The mean
(ii) The variance
(iii) The standard deviation
Date posted: September 24, 2019. Answers (1)
- The relation between two variables P and V is believed to be of the form where A and B are constants.
(a)...(Solved)
The relation between two variables P and V is believed to be of the form 
where A and B are constants.
(a) Draw a suitable line graph and use it to determine the value of A and B
(b) Estimate the value of P when the value of V is 5.
Date posted: September 24, 2019. Answers (1)
- The manager of Hilton hotel has enough funds to buy at most 100 crates of soft drinks of type A and type B. He wishes...(Solved)
The manager of Hilton hotel has enough funds to buy at most 100 crates of soft drinks of type A and type B. He wishes to buy more than twice as many crates of type A as type B. He wants to buy a maximum of 80 crates of type A and at least 10 crates of type B. Letting x represent the number of crates of type A and y the number of crates of type B;
(a) Write down all the inequalities which represent the above information.
(b) Represent the inequalities in (a) above on the graph provided.
The profit from the sale of a crate of type A is kshs. 60, while that of type B is kshs. 40. Find the number of crates he should buy to maximize his profit.
(c) Find the profit.
Date posted: September 24, 2019. Answers (1)
- a)Using trapezium rule estimate the area enclosed by the curve y = -x2, the x-axis and the lines x = 5 and x = 2,...(Solved)
a)Using trapezium rule estimate the area enclosed by the curve y = -x2, the x-axis and the lines x = 5 and x = 2, using 7 ordinates.
(b) Find the exact area.
(c) Find the percentage error in using trapezium rule.
(d) Estimate the area using mid-ordinate rule with six strips
Date posted: September 24, 2019. Answers (1)
- It has been established that the probability of Pangani and Moi Girls teams scoring 0,1,2 and 3 goals against each other are shown in the...(Solved)
It has been established that the probability of Pangani and Moi Girls teams scoring 0,1,2 and 3 goals against each other are shown in the table below
(a)Use a probability space to show all the possible outcomes.
(b)Calculate the probability of
(i)Pangani winning
(ii)A draw
(iii)Moi Girls scoring at least three goals.
Date posted: September 24, 2019. Answers (1)
- Mrs. Muta earns K£ 12000 p.a. and is housed by the employer at a nominal rent of shs. 1200 p.m. She is entitled to a...(Solved)
Mrs. Muta earns K£ 12000 p.a. and is housed by the employer at a nominal rent of shs. 1200 p.m. She is entitled to a personal relief of K£ 1320 p.a. and a premium relief of 10% on her insuarance premium of K£ 800 p.a. or a maximum of shs. 200 p.m. The housing benefit is 15% of the salary.
Calculate;
(a)Net tax p.a.
(b)Other deductions include;
W.C.P.S shs. 600 p.m.
NHIF shs. 500 p.m.
Calculate her net pay per month.
Date posted: September 24, 2019. Answers (1)
- A plank AD is lying against a log of circular cross-section of radius 1.4 cm as shown.
Given that AB is 6 cm, find the height...(Solved)
A plank AD is lying against a log of circular cross-section of radius 1.4 cm as shown.
Given that AB is 6 cm, find the height of C above the ground.
Date posted: September 24, 2019. Answers (1)
- If find the possible values of x which satisfy the matrix product.(Solved)
If 
find the possible values of x which satisfy the matrix product.
Date posted: September 24, 2019. Answers (1)
- Two brands of coffee Arabica and Robusta cost shs. 4700 and shs. 4200 per kilogram respectively, are mixed to produce a blend that costs shs....(Solved)
Two brands of coffee Arabica and Robusta cost shs. 4700 and shs. 4200 per kilogram respectively, are mixed to produce a blend that costs shs. 4600 per kilogram. Find the ratio of the mixture.
Date posted: September 24, 2019. Answers (1)
- Under a transformation represented by a matrix a triangle of area 10 cm2 is mapped on to a triangle whose area is 110 cm2....(Solved)
Under a transformation represented by a matrix 
a triangle of area 10 cm2 is mapped on to a triangle whose area is 110 cm2. Find x.
Date posted: September 24, 2019. Answers (1)
- Determine the amplitude, period and phase angle of the curve y = 5Sin(3x – 120)0(Solved)
Determine the amplitude, period and phase angle of the curve y = 5Sin(3x – 120)0
Date posted: September 24, 2019. Answers (1)
- The position vector OA = - 3a i + b j, OB = 6a i + 4b j and OC = 15a i + 7b...(Solved)
The position vector OA = - 3a i + b j, OB = 6a i + 4b j and OC = 15a i + 7b j, where a and b are scalars. Find in column form;
(i) AB
(ii) AC
Hence show that A,B and C are collinear.
Date posted: September 24, 2019. Answers (1)
- Determine the two possible values of a which (Solved)
Determine the two possible values of a which
Date posted: September 24, 2019. Answers (1)
- Given Log m = x and log n = y, find x and y if Log m2 n = 4 and Log mn3 = 7(Solved)
Given Log m = x and log n = y, find x and y if Log m2 n = 4 and Log mn3 = 7
Date posted: September 24, 2019. Answers (1)
- Solve the following equation for 00 = x = 3600
Sin4 x – Cos4x = 0(Solved)
Solve the following equation for 00 ≤ x ≤ 3600
Sin4 x – Cos4x = 0
Date posted: September 24, 2019. Answers (1)
- The figure below shows the graph of Log P against Log Q.
Given that P = aQn , find the value of a and n(Solved)
The figure below shows the graph of Log P against Log Q.
Given that P = aQn , find the value of a and n
Date posted: September 24, 2019. Answers (1)
- Simplify;(Solved)
Simplify; 
Date posted: September 24, 2019. Answers (1)