- Consider points A (500N, 300E) and B (500N, 1500W) (Take ?? = 22/7) and radius of the earth R = 6370 km. Find:
(Solved)
Consider points A (500N, 300E) and B (500N, 1500W) (Take 𝜋 = 22⁄7) and radius of the earth R = 6370 km. Find:
(a) The distance between A and B along a parallel of latitude in:
(i) Kilometres (km)
(ii) Nautical miles (nm)
(b) The shortest distance from A to B in nautical miles.
(c) An aircraft takes 54 hours to fly between the two towns A and B along the great circle. Calculate its speed in knots
correct to 2 significant figures.
Date posted: April 29, 2019. Answers (1)
- If x is a positive integer find all the integral values of x given that:(Solved)
If x is a positive integer find all the integral values of x given that:
Date posted: April 29, 2019. Answers (1)
- The area of a rhombus is 60cm2. Given that one of its diagonal is 15cm long. Calculate the perimeter of the rhombus.(Solved)
The area of a rhombus is 60cm2. Given that one of its diagonal is 15cm long. Calculate the perimeter of the rhombus.
Date posted: April 29, 2019. Answers (1)
- If tan X = 4/3 , find the value of sin2X + cos X without using tables or calculator.(Solved)
If tan X = 4/3 , find the value of sin2X + cos X without using tables or calculator.
Date posted: April 29, 2019. Answers (1)
- Kamau salary increased from Ksh 16,800 to 18,00 in the month of April. State the ratio in which it changed. What was
the percentage change in...(Solved)
Kamau salary increased from Ksh 16,800 to 18,00 in the month of April. State the ratio in which it changed. What was
the percentage change in his salary? Leave you percentage answer to 4. s. figures.
Date posted: April 29, 2019. Answers (1)
- Make a the subject of the formula:(Solved)
Make a the subject of the formula:
Date posted: April 29, 2019. Answers (1)
- Find the equation of a straight line which is equidistant from the points A (2, 3) and B (6, 1). Express your answer in
the form...(Solved)
Find the equation of a straight line which is equidistant from the points A (2, 3) and B (6, 1). Express your answer in
the form x/a + y/b =1 where a and b are constant.
Date posted: April 29, 2019. Answers (1)
- Given that AB and CD are parallel, find the value of K and hence evaluate |CD|(Solved)
Given that AB and CD are parallel, find the value of K and hence evaluate |CD|
Date posted: April 29, 2019. Answers (1)
- Determine the equation of the normal to the curve y = 3x2 – 4x + 1 at the point (2, 5).(Solved)
Determine the equation of the normal to the curve y = 3x2 – 4x + 1 at the point (2, 5).
Date posted: April 29, 2019. Answers (1)
- Solve the equation shown below:(Solved)
Solve the equation:
Date posted: April 29, 2019. Answers (1)
- Solve for y in the equation 8(2y – 1) x 32y = 16(y + 1).(Solved)
Solve for y in the equation
8(2y – 1) x 32y = 16(y + 1).
Date posted: April 29, 2019. Answers (1)
- A tourist arrived in Kenya with US Dollars 3000 which he exchanged into Kenya shillings. He spent Ksh. 75000 on hotel accommodation and Ksh.42500 on...(Solved)
A tourist arrived in Kenya with US Dollars 3000 which he exchanged into Kenya shillings. He spent Ksh. 75000 on hotel accommodation and Ksh.42500 on travel and other expenses. He changed the remaining money into sterling pounds. Calculate how much money in sterling pounds that he remained with using the following rates. (Leave your answer to the nearest 1£)
Date posted: April 29, 2019. Answers (1)
- Using tables evaluate.(Solved)
Using tables evaluate.
Date posted: April 29, 2019. Answers (1)
- Evaluate without using tables or calculator.(Solved)
Evaluate without using tables or calculator.
Date posted: April 29, 2019. Answers (1)
- Paul bought a refrigerator on hire purchase by paying monthly instalments of Ksh. 2000 per month for 40 months and
a deposit of Ksh. 12,000. If...(Solved)
Paul bought a refrigerator on hire purchase by paying monthly instalments of Ksh. 2000 per month for 40 months and a deposit of Ksh. 12,000. If this amounted to an increase of 25% of the original cost of the refrigerator, what was the cash price of the refrigerator?
Date posted: April 29, 2019. Answers (1)
- Points S(-2,2) and T(-3,7) are mapped onto S1(4,-10) and T1(0,10) by an enlargement . Calculate the enlargement scale factor.(Solved)
Points S(-2,2) and T(-3,7) are mapped onto S1(4,-10) and T1(0,10) by an enlargement . Calculate the enlargement scale factor.
Date posted: April 29, 2019. Answers (1)
- The figure below represent a right pyramid with vertex V and a rectangular base PQRS.VP = VQ = VR = VS = 18cm and QR...(Solved)
The figure below represent a right pyramid with vertex V and a rectangular base PQRS.VP = VQ = VR = VS = 18cm and QR = 12cm, M and O are midpoints of QR and PR respectively.
Find:
(a) the length of the projection of VP on the plane PQRS.
(b) size of angle between VP and plane PQRS.
(c) size of angle between plane VQR and PQRS.
Date posted: April 29, 2019. Answers (1)
- (a) Without using a set square or a protractor, construct triangle ABC such that AB = AC = 5.4cm and angle ABC = 30º.(Solved)
(a) Without using a set square or a protractor, construct triangle ABC such that AB = AC = 5.4cm and angle ABC = 30º.
(b) Measure BC.
(c) A point P is always on the same side of BC as A. Draw the locus of P such that angle BAC is always twice angle BPC.
(d) Calculate the area of triangle ABC.
(e) Draw a perpendicular from A to meet BC at D. Measure AD.
Date posted: April 29, 2019. Answers (1)
- In the figure below A and B are centres of the circle intersecting at point P and Q, angle PBQ = 97.2º while PAQ =...(Solved)
In the figure below A and B are centres of the circle intersecting at point P and Q, angle PBQ = 97.2º while PAQ = 52º,
PB = 4cm while AP = 10cm.
Determine:-
(a) the length AB.
(b) the area of sector APQ.
(c) the area of the quadrilateral, APBQ.
(d) area of the shaded region.
Date posted: April 29, 2019. Answers (1)
- The position of two towns are A (30ºS, 20ºW) and B (30ºS, 80ºE) find.(Solved)
The position of two towns are A (30ºS, 20ºW) and B (30ºS, 80ºE) find.
(a) the difference in longitude between the two towns. (1 mark)
(b) (i) the distance between A and B along parallel of latitude in km (take radius of the earth as 6370km and pi=22/7)
(ii)in nm.
(c) Find local time in town B when it is 1.45pm in town A.
Date posted: April 29, 2019. Answers (1)