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- Obtain the binomial expansion of (1 - 2x)5 and use your expansion to evaluate (0.98)5 correct to 5d.p.(Solved)
Obtain the binomial expansion of (1 - 2x)5 and use your expansion to evaluate (0.98)5 correct to 5d.p.
Date posted: August 27, 2019. Answers (1)
- A bus left Nairobi and travelled towards Busia at an average speed of 90km/hr. After2 2/9 hours, a car left Nairobi and travelled along the...(Solved)
A bus left Nairobi and travelled towards Busia at an average speed of 90km/hr. After 2 2/9 hours, a car left Nairobi and travelled along the same road at an average speed of 170km/hr. If the distance between Nairobi and Busia is 800km, Determine the distance the car travelled to catch up with the bus.
Date posted: August 27, 2019. Answers (1)
- The gradient of the curve whose equation is given by y= ax3 — 20x2 +10x at the point where x=2 is 410. Find the value...(Solved)
The gradient of the curve whose equation is given by y= ax3 — 20x2 +10x at the point where x=2 is 410. Find the value of a.
Date posted: August 27, 2019. Answers (1)
- The exchange rate during a certain day of February was as shown below.(Solved)
The exchange rate during a certain day of February was as shown below.
A tourist landed in Kenya and converted 5500 US dollars to Kshs. While in Kenya he spent Kshs 186,000. He then converted the money back to Japanese Yen before travelling to Japan. Calculate the amount of Japanese Yen he had to the nearest Yen.
Date posted: August 27, 2019. Answers (1)
- Solve the equation given below.(Solved)
Solve the equation given below.
Date posted: August 27, 2019. Answers (1)
- A straight line passing through the point C (1, 3) and D (x, -5) is perpendicular to the line whose
equation is 4y-3x+5=0.Determine the value of...(Solved)
A straight line passing through the point C (1, 3) and D (x, -5) is perpendicular to the line whose
equation is 4y-3x+5=0.Determine the value of x and the equation of the line CD.
Date posted: August 27, 2019. Answers (1)
- A cylindrical column of oil has radius 4.25cm and has height of 20cm.Calculate the mass of the oil if the column has density of 3.524g/cm3(Solved)
A cylindrical column of oil has radius 4.25cm and has height of 20cm.Calculate the mass of the oil if the column has density of 3.524g/cm3
Date posted: August 27, 2019. Answers (1)
- Find the values of a and b.(Solved)
Given that 
Find the values of a and b.
Date posted: August 27, 2019. Answers (1)
- Without using a calculator evaluate(Solved)
Without using a calculator evaluate 
leaving your answer as a mixed fraction.
Date posted: August 27, 2019. Answers (1)
- Simplify the following expression.(Solved)
Simplify the following expression.
Date posted: August 27, 2019. Answers (1)
- Without using mathematical tables or calculator, evaluate;(Solved)
Without using mathematical tables or calculator, evaluate;
Date posted: August 27, 2019. Answers (1)
- In the figure below OAB is a triangle, OA = a, OB = b. Point M lies on AB such thatAM : MB = 1:3...(Solved)
In the figure below OAB is a triangle, OA = a, OB = b. Point M lies on AB such that AM : MB = 1:3 and N lies on OB such that OB : BN = 7: - 5. Line OM and AN intersect at X.
a) Express in terms of a and b;
(i) OM
(ii) AN
b) Given that OX=kOM and AX=hAN where k and h are scalars.
(i) Write down two expressions for OX in terms of a, b, h and k.
(ii) Find the values of h and k.
(iii) Determine the ratio in which X divides AN.
Date posted: August 27, 2019. Answers (1)
- In the figure below O is the centre of the circle. A, B, C and D are points on the circumference of the circle. A,...(Solved)
In the figure below O is the centre of the circle. A, B, C and D are points on the circumference of the circle. A, O, X,C and E are on a straight line. DE is a tangent to the circle at D. Angle BOC = 480 and angle CAD = 360
a) Find the value of;
(i) Angle CBA.
(ii) Angle BDE.
(iii) Angle CED.
b) If AX = 12cm, XC = 4cm, DB = 14cm and DE = 15cm. Calculate;
(i) DX.
(ii) AE.
Date posted: August 27, 2019. Answers (1)
- The boats X, Y and Z are such that Y is 500km on a bearing of 0300 from X. Z is 750km from Y and...(Solved)
The boats X, Y and Z are such that Y is 500km on a bearing of 0300 from X. Z is 750km from Y and on a bearing of 1400 from X. Calculate;
a) The distance of Z from X.
b) The bearing of X from Z.
c) The shortest distance from X to the direct route between Y and Z.
d) Boat S is sighted 900km due east of Y. Calculate the distance of S from Z.
Date posted: August 27, 2019. Answers (1)
- A bucket is in the shape of a frustum with a base radius 14 cm and top radius 21 cm. The height of the bucket...(Solved)
A bucket is in the shape of a frustum with a base radius 14 cm and top radius 21 cm. The height of the bucket is 20 cm as shown below. The bucket contains water to a depth of 10 cm.
a) Calculate the volume of the water in the bucket.
b) All the water is poured into a cylindrical container of radius 14 cm. If the height of the cylinder is 30 cm, calculate the internal surface area of the cylinder which is not in contact with the water.
Date posted: August 27, 2019. Answers (1)
- Draw the net of the solid below.(Solved)
Draw the net of the solid below.
Date posted: August 27, 2019. Answers (1)
- Given P = (n – 3)i + (2n – 4)j + (2n – 5) k and ¦P¦ = 7. Find the possible values of n.(Solved)
Given P = (n – 3)i + (2n – 4)j + (2n – 5) k and │P│ = 7. Find the possible values of n.
Date posted: August 27, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currencies as shown below.(Solved)
A Kenyan bank buys and sells foreign currencies as shown below.
A tourist arrived in Kenya with 106,000 Hongkong dollars and changed the whole amount to Kenya shillings. While in Kenya she spent Kshs. 408,889 and changed the balance to South African rand before leaving for South Africa. Calculate the amount in South African rand she received.
Date posted: August 27, 2019. Answers (1)
- In the figure below, angle ACD = angle ABC. AD = 12cm, AC = 18cm and BC = 21cm. Find the length of BD and...(Solved)
In the figure below, angle ACD = angle ABC. AD = 12cm, AC = 18cm and BC = 21cm. Find the length of BD and DC.
Date posted: August 27, 2019. Answers (1)
- Evaluate without using tables or calculator.(Solved)
Given that tan 
, evaluate without using tables or calculator.
Date posted: August 26, 2019. Answers (1)