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- In the figure below, RP and RQ are tangents to the circle centre O, radius r cm. OQ produced meets PR produced at T. QT...(Solved)
In the figure below, RP and RQ are tangents to the circle centre O, radius r cm. OQ produced meets PR produced at T. QT = 12cm and QR = 5cm Calculate the radius of the circle.
Date posted: August 27, 2019. Answers (1)
- The density of a sphere of diameter p cm is 2.68 g/cm3 and that of another sphere is diameter Q cm is 14.23 g/cm3. Determine...(Solved)
The density of a sphere of diameter p cm is 2.68 g/cm3 and that of another sphere is diameter Q cm is 14.23 g/cm3. Determine the volume of sphere Q that would have the same mass as 80cm3.
Date posted: August 27, 2019. Answers (1)
- Find the exact area of the region bounded by the curve y = 9x - x3 and the x axis.(Solved)
Find the exact area of the region bounded by the curve y = 9x - x3 and the x axis.
Date posted: August 27, 2019. Answers (1)
- Given that y is inversely proportional to xn and ß is the constant of proportionality and that x = 2, when y = 12, and...(Solved)
Given that y is inversely proportional to xn and β is the constant of proportionality and that x = 2, when y = 12, and x = 4, when y = 3, find the values of n and β.
Date posted: August 27, 2019. Answers (1)
- a)Find the position vector OC of the centre of a circle C, whose equation is 2x2 + 2y2 + 4x - 6y - 26 =...(Solved)
a)Find the position vector OC of the centre of a circle C, whose equation is 2x2 + 2y2 + 4x - 6y - 26 = 0.
b. If the circle passes through P (3, 2), use vector method to find the diameter of the circle.
Date posted: August 27, 2019. Answers (1)
- Find the scalars S and T such that Sa + Tb = c (Solved)
The position vectors a =
Find the scalars S and T such that Sa + Tb = c
Date posted: August 27, 2019. Answers (1)
- Find the percentage error in the quotient in 9.16cm ÷2.0cm(Solved)
Find the percentage error in the quotient in 9.16cm ÷2.0cm
Date posted: August 27, 2019. Answers (1)
- Make c the subject of the formula in(Solved)
Make c the subject of the formula in
Date posted: August 27, 2019. Answers (1)
- Using the tables of squares, square roots and reciprocal,solve the equation below(Solved)
Using the tables of squares, square roots and reciprocal,solve the equation below
Date posted: August 27, 2019. Answers (1)
- Without using tables or a calculator evaluate(Solved)
Without using tables or a calculator evaluate
Date posted: August 27, 2019. Answers (1)
- Determine the possible values of x.(Solved)
The matrix 
maps a triangle ABC onto a straight line.Determine the possible values of x.
Date posted: August 27, 2019. Answers (1)
- Simplify the following giving your answer in the simplest form possible.(Solved)
Simplify the following giving your answer in the simplest form possible.
Date posted: August 27, 2019. Answers (1)
- Find the value of the term independent of x in the expansion of(Solved)
Find the value of the term independent of x in the expansion of
Date posted: August 27, 2019. Answers (1)
- Evaluate without using tables or a calculator(Solved)
Evaluate without using tables or a calculator
Date posted: August 27, 2019. Answers (1)
- By using completing square method, solve for x in 4x2 – 3x – 6 = 0(Solved)
By using completing square method, solve for x in 4x2 – 3x – 6 = 0
Date posted: August 27, 2019. Answers (1)
- A plane leaves an airport x (41.50N, 36.40W) at 9.00a.m. and flies due North to airport y on latitude 53.20N.
(a) Calculate the distance covered by...(Solved)
A plane leaves an airport x (41.50N, 36.40W) at 9.00a.m. and flies due North to airport y on latitude 53.20N.
(a) Calculate the distance covered by the plane in kilometers.
(b) After stopping for 30 minutes to refuel at Y, the plane then flies due east to airport Z, 2500km from Y. Find:-
(i) The position of Z.
(ii) The time the plane lands at Z, if its speed is 500km/h.
(Take the value of π as 22/7 and radius of the earth as 6370km)
Date posted: August 27, 2019. Answers (1)
- On arrival to Kenya a Canadian tourist exchanged his Canadian dollars for Ksh 199 690.Given that the currency exchange rate was 1 Canadian dollar =...(Solved)
On arrival to Kenya a Canadian tourist exchanged his Canadian dollars for Ksh 199 690.Given that the currency exchange rate was 1 Canadian dollar = Ksh 52.55 and that the bank charged him 5% commission, find the number of dollars he exchanged.
Date posted: August 27, 2019. Answers (1)
- (a) Using the trapezoidal rule, estimate the area under the curve y = ½ x2– 2 between the lines x = 0 and x =...(Solved)
(a) Using the trapezoidal rule, estimate the area under the curve y = ½ x2– 2 between the lines x = 0 and x = 6 using 6 strips.
(b) Use the integration to evaluate the exact area under the curve.
(c) Hence calculate the percentage error in calculating the area using trapezoidal rule.
Date posted: August 27, 2019. Answers (1)
- Without using a calculator or mathematical tables evaluate,(Solved)
Without using a calculator or mathematical tables evaluate,
Date posted: August 27, 2019. Answers (1)
- Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18,...(Solved)
Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18, q = 24 and r = 4.Find p when q = 30 and r = 10.
(b) Express q in terms of p and r.
(c) If p is increased by 20% and r is decreased by 10% find:
(i) A simplified expression for the change in q in terms of p and r.
(ii) The percentage change in q.
Date posted: August 27, 2019. Answers (1)