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- A and B are two points on the latitude 400N. The two points lie on the longitude 200W and 1000E respectively.(Solved)
A and B are two points on the latitude 400N. The two points lie on the longitude 200W and 1000E respectively.
(a) Calculate:-
(i) The distance from A to B along a parallel of latitude.
(ii) The shortest distance from A to B along a great circle.
(b) Two planes P and Q left A for B at 400 knots and 600 knots respectively. If P flew along the great circle and Q along
parallel latitude, which one arrived earlier and by how long. Give your answer to the nearest minute. (Take R =6370 km and 𝜋 =22/7)
Date posted: April 26, 2019. Answers (1)
- The figure below shows a frustum ABCDEFGH of a right pyramid such that AB = 9cm, BC = 12cm, FG = 6cm GH = 8cm
and...(Solved)
The figure below shows a frustum ABCDEFGH of a right pyramid such that AB = 9cm, BC = 12cm, FG = 6cm GH = 8cm
and the height of the frustum is 10cm.
Find the
(a) Height of pyramid
(b) Length of
(i) AC
(ii) AH
(c) Calculate the angle between:
(i) Line AH and the plane ABCD
(ii) The planes ABHE and ABCD
Date posted: April 26, 2019. Answers (1)
- Find the equation of the tangent to the circle at L.(Solved)
Date posted: April 26, 2019. Answers (1)
- In the diagram below, PQ = 10cm, and the radius of the circle centres P and Q are 2cm and 4cm respectively, calculate
the length of...(Solved)
In the diagram below, PQ = 10cm, and the radius of the circle centres P and Q are 2cm and 4cm respectively, calculate
the length of the transverse common tangent SR.
Date posted: April 26, 2019. Answers (1)
- The points P(8,4) and Q(2,2) are the ends of a diameter of a circle. Find the equation of the circle.(Solved)
The points P(8,4) and Q(2,2) are the ends of a diameter of a circle. Find the equation of the circle.
Date posted: April 26, 2019. Answers (1)
- The top of a table is regular pentagon. Each side of the pentagon measures 40.0cm. Find the maximum percentage
error in calculating the perimeter of the...(Solved)
The top of a table is regular pentagon. Each side of the pentagon measures 40.0cm. Find the maximum percentage
error in calculating the perimeter of the top of the table.
Date posted: April 26, 2019. Answers (1)
- A die has two of its faces numbered 3. Calculate the probability of obtaining a 1 or a 3 on a single cast.(Solved)
A die has two of its faces numbered 3. Calculate the probability of obtaining a 1 or a 3 on a single cast.
Date posted: April 26, 2019. Answers (1)
- By completing the square, solve for x in the equation 2x2 – 6 = x(Solved)
By completing the square, solve for x in the equation 2x2 – 6 = x
Date posted: April 26, 2019. Answers (1)
- The resistance to the motion of a car is partly constant and partly varies as the square of the speed. At 40km/h the resistance is...(Solved)
The resistance to the motion of a car is partly constant and partly varies as the square of the speed. At 40km/h the resistance is 530 and at 60km/h it is 730N. What will be the resistance at 70km/h
Date posted: April 26, 2019. Answers (1)
- Expand the following hence find the value of (2.025)6 rounded off to 3 decimal places(Solved)
Expand
Hence find the value of (2.025)6 rounded off to 3 decimal places.
Date posted: April 26, 2019. Answers (1)
- The transformation represented by the matrix;(Solved)
Date posted: April 26, 2019. Answers (1)
- Solve for x in the following equation(Solved)
Solve for x in the following equation
3log3 x + 4 = log324
Date posted: April 26, 2019. Answers (1)
- Rationalize the denominator and simplify(Solved)
Rationalize the denominator and simplify
Date posted: April 26, 2019. Answers (1)
- The table below show tax rates on a certain year.(Solved)
The table below show tax rates on a certain year.
Robi earns a basic salary of KSh. 20,000 per month, she is given allowances amounting to KSh. 5000. She is housed by
her employer therefore pays a nominal rent of Sh. 700 per month and is entitled to a personal relief of Sh. 1200 per month. Calculate;
(i) Her taxable income in Kenya pounds per year.
(ii) Her gross tax per month.
Date posted: April 26, 2019. Answers (1)
- OA = 3i + 4j – 6k and OB = 2i + 3j + k are two position vectors. P divides a line AB in...(Solved)
OA = 3i + 4j – 6k and OB = 2i + 3j + k are two position vectors. P divides a line AB in the ratio 3:-2. Write down the
coordinates of P.
Date posted: April 26, 2019. Answers (1)
- In the figure below XY = 8cm and O is the centre of the circle.(Solved)
In the figure below XY = 8cm and O is the centre of the circle.
Determine the area of the circle if angle AOX = 150.
Date posted: April 26, 2019. Answers (1)
- The cost of maize floor and millet flour is KSh. 40 and KShs. 52 respectively. Calculate the ratio in which they were mixed if a...(Solved)
The cost of maize floor and millet flour is KSh. 40 and KShs. 52 respectively. Calculate the ratio in which they were mixed if a profit of 15% was made by selling the mixture at 52.90 per kilogram.
Date posted: April 26, 2019. Answers (1)
- A bus moving at a speed of 80km/h is being overtaken by a car moving at 100km/h in a clear section of a road. Given
that...(Solved)
A bus moving at a speed of 80km/h is being overtaken by a car moving at 100km/h in a clear section of a road. Given
that the bus is 21m long and the car is 4m long.
(a) How much time (in seconds) will elapse before the car can completely overtake the bus?
(b) How much distance (in metres) will the car travel before it can completely overtake the bus?
(c) Given that as soon as the car completed overtaking the trailer, a bus heading towards the trailer and the car and
moving at a speed of 90km/h became visible to the car driver. It took exactly 18 seconds for the car and the bus to
completely by pass each other from the moment they first saw each other.
(i) How far was the tail of the bus from tail of the car at the instance they first saw each other giventhat the bus is 12 metres long?
(ii) How far a part was the trailer and the bus just immediately after the car and the bus had passed each other?
Date posted: April 26, 2019. Answers (1)
- The displacement h metres of a particle moving along a straight line after t seconds is given by;
(Solved)
The displacement h metres of a particle moving along a straight line after t seconds is given by
(a) Find its initial acceleration
(b) Calculate;
(i) The time when the object was momentarily at rest
(ii) Its displacement by the time it comes to rest
(c) Calculate the maximum speed attained
Date posted: April 26, 2019. Answers (1)
- In the figure below, O is the centre of the circle. PQ is a tangent to the circle at N. Angle NCD is 100 and...(Solved)
In the figure below, O is the centre of the circle. PQ is a tangent to the circle at N. Angle NCD is 100 and angle ANP is 300.
Giving reasons;
(i) Angle DON
(ii) Angle DNQ
(iii) Angle DBA
(iv) Angle ONA
(v) Angle ODN
Date posted: April 26, 2019. Answers (1)