Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

A and B are two points on the latitude 50⁰N. The two points lie on the longitudes 30⁰E and 150⁰W respectively a)Calculate: i) The distance...

A and B are two points on the latitude 50⁰N. The two points lie on the longitudes 30⁰E and 150⁰W respectively
a)Calculate:
i) The distance in km, from A to B along the parallel of latitude. (take π= 22/7, R = 6370km)
ii) The shortest distance from A to B along the great circle, in nautical miles.
b)An aircraft takes 54 hours to fly between the two points, along the great circle. Calculate its speed in km/h.( take 1nm = 1.853km)

Answers

Kavungya answered the question on October 12, 2019 at 09:15

Answer Attachments

Next: a)Complete the table below for the function y = x³ + 2x² – 3x – 4, to 1 d.p b)Draw the graph of y = x³...

Previous: The velocity, v m/s of a particle after t seconds is given by v = t² – 2t + 4. a)i) Using the mid- coordinate rule...

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

a)Complete the table below for the function y = x³ + 2x² – 3x – 4, to 1 d.p b)Draw the graph of y = x³... (Solved)

a)Complete the table below for the function y = x³ + 2x² – 3x – 4, to 1 d.p

b)Draw the graph of y = x³ + 2x² – 3x – 4, using the values in the completed table.
c) Using your graph:
i) Solve the equation
x³ + 2x² – 3x = 4.
ii) Estimate the coordinates of the turning points of the curve.

Date posted: October 12, 2019 . Answers (1)
A trapezium ABCD is such that the two parallel sides are of length 18cm and 26cm. AB = 9cm and angle ABC = 45⁰. Calculate... (Solved)

A trapezium ABCD is such that the two parallel sides are of length 18cm and 26cm. AB = 9cm and angle ABC = 45⁰. Calculate the area of the trapezium to 1 decimal place.

Date posted: October 12, 2019 . Answers (1)
The end points of a diameter of a circle are P (-3, -9) and Q (7, 15). Determine the equation of the circle in the... (Solved)

The end points of a diameter of a circle are P (-3, -9) and Q (7, 15). Determine the equation of the circle in the form x²+y²+ax+by=c where a, b and c are constants.

Date posted: October 12, 2019 . Answers (1)
Find the equation of the normal to the curve y = 2x³ – 3x² + 6, when x = 2. (Solved)

Find the equation of the normal to the curve y = 2x³ – 3x² + 6, when x = 2.

Date posted: October 12, 2019 . Answers (1)
The sixth term of a geometric progression is 16 and the third term is 2. Determine the common ratio and the first term. (Solved)

The sixth term of a geometric progression is 16 and the third term is 2. Determine the common ratio and the first term.

Date posted: October 12, 2019 . Answers (1)
Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i... (Solved)

Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i – 2j + k respectively. Find the position vector, of R.

Date posted: October 12, 2019 . Answers (1)
A businessman mixes sugar costing sh. 90 per kg with another type which costs sh.120 per kg. Find the ratio in which the two types... (Solved)

A businessman mixes sugar costing sh. 90 per kg with another type which costs sh.120 per kg. Find the ratio in which the two types should be mixed so that if a kilogram of the mixture is sold at ksh. 147 a profit of 50% is realized.

Date posted: October 12, 2019 . Answers (1)
The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins... (Solved)

The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins in the fourth round.

Date posted: October 12, 2019 . Answers (1)
Find the area of the shaded region shown in the figure below. (Solved)

Find the area of the shaded region shown in the figure below.

Date posted: October 12, 2019 . Answers (1)
The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number.... (Solved)

The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number. The height of the cylinder is exactly 14cm.

a)Determine the exact values for the internal and external radii which will give maximum volume of the material.
b)Calculate the maximum possible volume of the material

Date posted: October 12, 2019 . Answers (1)
The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two... (Solved)

The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two years and at 20% p.a thereafter. Find the number of years it will take for its value to reduce to ksh. 147,968.

Date posted: October 12, 2019 . Answers (1)
Make C the subject of the formula. (Solved)

Make C the subject of the formula.

Date posted: October 12, 2019 . Answers (1)
A rectangle whose area is 15cm² is transformed by a matrix .Determine the area of its image under the matrix of transformation. (Solved)

A rectangle whose area is 15cm² is transformed by a matrix .Determine the area of its image under the matrix of transformation.

Date posted: October 12, 2019 . Answers (1)
If find the value of a + b + c. (Solved)

If find the value of a + b + c.

Date posted: October 12, 2019 . Answers (1)
The figure below shows a triangular prism ABCDEF a)Draw the net of the prism b)A fly walks from A to D along the diagonals of rectangular... (Solved)

The figure below shows a triangular prism ABCDEF

a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular faces:
i)On your net show the locus of the fly.
ii)Measure the distance covered by the fly, one way.
iii)The fly takes 15 seconds to reach D one way. Calculate its’ speed in, km/h.

Date posted: October 12, 2019 . Answers (1)
The figure below shows a circle centre O and a cyclic quadrilateral ABCD. Angle ACB =40⁰ and angle DAC =20⁰ AOC is a straight line. Giving... (Solved)

The figure below shows a circle centre O and a cyclic quadrilateral ABCD. Angle ACB =40⁰ and angle DAC =20⁰ AOC is a straight line.

Giving reasons find the size of:
i)ABD
ii)BAC
iii)ACD
iv)CBD
v)Reflex ADC

Date posted: October 12, 2019 . Answers (1)
Four points P, Q, R and S lie on the same plane. Point P is 42km due south west of R. Q is 15km on... (Solved)

Four points P, Q, R and S lie on the same plane. Point P is 42km due south west of R. Q is 15km on a bearing of S60E from R. Point D is equidistant from P and Q.
a)Using a scale of 1cm represents 10km, construct a diagram showing the positions of P, Q, R and S
b)Using your diagram determine:
i)Distance between P and Q
ii)Bearing of S from P
iii)Distance from S to R

Date posted: October 12, 2019 . Answers (1)
A bus left Mombasa at 7.45 am towards Nairobi at an average speed of 60km/h. A saloon car left Mombasa at 9.15 am on the... (Solved)

A bus left Mombasa at 7.45 am towards Nairobi at an average speed of 60km/h. A saloon car left Mombasa at 9.15 am on the same day along the same road at an average of 120km/h. the distance between Mombasa and Nairobi is 360km.
a)Determine the time of day when the salon car overtook the bus.
b)Both vehicles contained towards Nairobi at their original speed. How long had the saloon car waited in Nairobi before the bus arrived.

Date posted: October 12, 2019 . Answers (1)
A tourist in Nakuru had 870 Euros, 629 pounds and some dollars. If on changing his money he had Ksh 0.18 million, how much dollars... (Solved)

A tourist in Nakuru had 870 Euros, 629 pounds and some dollars. If on changing his money he had Ksh 0.18 million, how much dollars did he have before changing his money, if he was charged a tax of 10%, when the exchange rates were:-
1 pound = Ksh 70, 1 dollar = Ksh 120 and 1 Euro = Ksh 106.
Give your answer to the nearest whole number.

Date posted: October 12, 2019 . Answers (1)
Giving reasons, find the value of y in the figure below. (Solved)

Giving reasons, find the value of y in the figure below.

Date posted: October 12, 2019 . Answers (1)