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- An open cylindrical concrete water tank has an external diameter of 1.2m and an external height of 1.5m. The thickness of the concrete is 8cm. Calculate...(Solved)
An open cylindrical concrete water tank has an external diameter of 1.2m and an external height of 1.5m. The thickness of the concrete is 8cm. Calculate the volume of the concrete making the tank. Give your answer in m3
Date posted: August 26, 2019. Answers (1)
- Find the range of values of x which satisfy the inequalities(Solved)
Find the range of values of x which satisfy the inequalities
Date posted: August 24, 2019. Answers (1)
- The equation of a line L1 is
Find the equation of a line perpendicular to L1 which passes through (1,2).(Solved)
The equation of a line L1 is
Find the equation of a line perpendicular to L1 which passes through (1,2).
Date posted: August 24, 2019. Answers (1)
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The position vectors of P and Q with respect to the origin are
respectively.Point...(Solved)
The position vectors of P and Q with respect to the origin are respectively.Point T lies on PQ such that 3PT = PQ. Determine the coordinates of T.
Date posted: August 24, 2019. Answers (1)
- Find the value of x in the equation(Solved)
Find the value of x in the equation
Date posted: August 24, 2019. Answers (1)
- The triangle ABC below has dimensions as shown.(Solved)
The triangle ABC below has dimensions as shown.
(a) Calculate to 4 significant figures, the area of the triangle
(b) Find to one decimal place the length of the perpendicular from A to BC.
Date posted: August 24, 2019. Answers (1)
- Simplify fully the expression(Solved)
Simplify fully the expression:
Date posted: August 24, 2019. Answers (1)
- A solid metal pyramid has a square abase of side 3 cm and a mass of 54kg. Find the mass of asimilar pyramid whose base...(Solved)
A solid metal pyramid has a square abase of side 3 cm and a mass of 54kg. Find the mass of a similar pyramid whose base is a square of side 6 cm.
Date posted: August 24, 2019. Answers (1)
- The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles...(Solved)
The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles of this polygon.
Date posted: August 24, 2019. Answers (1)
- A farmer has two water tanks, one of capacity 200 litres and the other 360 litres. The farmer uses the same container to fill each...(Solved)
A farmer has two water tanks, one of capacity 200 litres and the other 360 litres. The farmer uses the same container to fill each of the two tanks in an exact number of times. Find the least possible number of times it would take to fill both tanks.
Date posted: August 24, 2019. Answers (1)
- Without using a calculator evaluate.(Solved)
Without using a calculator evaluate.
Date posted: August 24, 2019. Answers (1)
- Solve the equation:(Solved)
Solve the equation:
Date posted: August 24, 2019. Answers (1)
- Simplify:(Solved)
Simplify:
Date posted: August 24, 2019. Answers (1)
- Solve for x in the equation:(Solved)
Solve for x in the equation:
Date posted: August 24, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: August 24, 2019. Answers (1)
- (a) Using the trapezium rule with intervals of 0.5 of a unit, estimate the area of theregion bounded by the curvey = 4x3 + 2x2...(Solved)
(a) Using the trapezium rule with intervals of 0.5 of a unit, estimate the area of the region bounded by the curve
y = 4x3 + 2x2 – 5, the lines y = 0, x = 1 and x = 3
(b) Calculate:
(i) The area of the region in (a) above by integration
(c) Express the error in (a) above as a percentage of the area obtained in (b) above
Date posted: August 24, 2019. Answers (1)
- A Kenyan company received US Dollars 150,000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:(Solved)
A Kenyan company received US Dollars 150,000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:
a) Calculate the amount of money, in Kenya shillings, the company received
b) The company exchanged the Kenya shillings calculated in (a) above, into sterling pounds to buy a car from Britain. Calculate the cost of the car to the nearest sterling pound.
Date posted: August 24, 2019. Answers (1)
- Simplify the expression(Solved)
Simplify the expression
Date posted: August 24, 2019. Answers (1)
- A particle moves a long straight line such that its displacement S meters from a given point is
S = t3 – 6t2 + 2t +...(Solved)
A particle moves a long straight line such that its displacement S meters from a given point is
S = t3 – 6t2 + 2t + 3 where t is the time in seconds. Find;
a)The displacement of the particle at t= 3
b) The velocity of the particle where t = 4.
c) The value of t when the particle is momentarily at rest.
d) The acceleration of the particle when t= 4.
Date posted: August 23, 2019. Answers (1)
- In the figure below (not drawn to scale) AB = 8cm, AC = 6cm, AD = 7cm, CD = 2.82cm and angle CAB = 50º.(Solved)
In the figure below (not drawn to scale) AB = 8cm, AC = 6cm, AD = 7cm, CD = 2.82cm and angle CAB = 50º.
Calculate to 2 decimal places;
a) The length BC
b) The size of angle ABC
c) The size of angle CAD
d)The area of triangle ACD
Date posted: August 23, 2019. Answers (1)