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- Two towns A and B lie on the same parallel of latitudes 600N. If the longitudes of A and B are 420W and 290E respectively.(Solved)
Two towns A and B lie on the same parallel of latitudes 600N. If the longitudes of A and B are 420W and 290E respectively.
(a) Find the distance between A and B in nautical miles along the parallel of latitude.
(b) Find the local time at A if at B is 1.00pm.
(c) Find the distance between A and B in km.
(d) If C is another town due South of A and 10010km away from A, Find the co-ordinate of C.
Date posted: April 25, 2019. Answers (1)
- In below figure PT = 4cm and TQ = 5cm and TS = 2.5cm find TR by calculation.(Solved)
In below figure PT = 4cm and TQ = 5cm and TS = 2.5cm find TR by calculation.
Date posted: April 25, 2019. Answers (1)
- A car valued at Ksh.500,000 in January 2008. Each year, it value depreciates at 12%p.a. Find after how long would the
value depreciate to Ksh.250,000.(Solved)
A car valued at Ksh.500,000 in January 2008. Each year, it value depreciates at 12%p.a. Find after how long would the
value depreciate to Ksh.250,000.
Date posted: April 25, 2019. Answers (1)
- Given that AB = 6cm construct locus of P such that angle APB = 90.(Solved)
Given that AB = 6cm construct locus of P such that angle APB = 90.
Date posted: April 25, 2019. Answers (1)
- Simplify:(Solved)
Simplify:
Date posted: April 25, 2019. Answers (1)
- The gradient of a curve at any point given by 2X - 1. Given that the curve passes through point (1, 5). Find the
equation of...(Solved)
The gradient of a curve at any point given by 2X - 1. Given that the curve passes through point (1, 5). Find the
equation of the curve.
Date posted: April 25, 2019. Answers (1)
- The population of two town Kana and Jane for three years were as follows:(Solved)
The population of two town Kana and Jane for three years were as follows:
Calculate the difference in population of the two after six years.
Date posted: April 25, 2019. Answers (1)
- A dam containing 4158m³ of water is to be drained. A pump is connected to a pipe of radius 3.5cm and machine operate for 8...(Solved)
A dam containing 4158m³ of water is to be drained. A pump is connected to a pipe of radius 3.5cm and machine operate for 8 hours per day. Water flows through the pipe at the rate of 1.5m per second. Find the number of days it takes to drain the dam.
Date posted: April 25, 2019. Answers (1)
- A two digit number is formed from the first four prime numbers.(Solved)
A two digit number is formed from the first four prime numbers.
(a) Draw the table to show the possible outcomes.
(b) Calculate the probability that a number chosen from the two digits is even number.
Date posted: April 25, 2019. Answers (1)
- Find C that divide AB externally in the ratio 5: 2, given that(Solved)
Find C that divide AB externally in the ratio 5: 2, given that
A (3, -6, 9) and B (-15, 3, 12).
Date posted: April 25, 2019. Answers (1)
- Points P, Q and R are points on the circumference of a circle. If PQ = PR = 13cm and QR = 10cm, what is...(Solved)
Points P, Q and R are points on the circumference of a circle. If PQ = PR = 13cm and QR = 10cm, what is the radius of
the circle.
Date posted: April 25, 2019. Answers (1)
- Make P the subject of the formula.(Solved)
Make P the subject of the formula.
Date posted: April 25, 2019. Answers (1)
- Solve for y in the equation.(Solved)
Solve for y in the equation.
Date posted: April 25, 2019. Answers (1)
- (a) Expand(Solved)
(a) Expand 
(b) Use the expansion in (a) above to. Find the value (2.01)4 to 4d.p.
Date posted: April 25, 2019. Answers (1)
- Simplify:(Solved)
Simplify:
Date posted: April 25, 2019. Answers (1)
- The mass of a mixture A of beans and maize is 72kg. The ratio of beans to maize is 3: 5 respectively. Find the mass...(Solved)
The mass of a mixture A of beans and maize is 72kg. The ratio of beans to maize is 3: 5 respectively. Find the mass of
maize in the mixture.
Date posted: April 25, 2019. Answers (1)
- An Arc of a circle of radius 40cm subtends an angle of 1260 at the centre of the circle.(Solved)
An Arc of a circle of radius 40cm subtends an angle of 1260 at the centre of the circle.
(a) Calculate:
(i) the length of the arc.
(ii) the area of the sector.
(b) The sector is folded to form a cone.
Calculate:
(i) the radius of the base of the cone.
(ii) the height of the cone.
(iii) the capacity of the cone in litres.
Date posted: April 25, 2019. Answers (1)
- In the figure below,(Solved)
(c) Hence show that O, M and N are collinear.
Date posted: April 25, 2019. Answers (1)
- The displacement S metres of a moving particle after t seconds is given by
S = 2t³ - 5t² + 4t + 2(Solved)
The displacement S metres of a moving particle after t seconds is given by
S = 2t³ - 5t² + 4t + 2
Determine
(a) the velocity of the particle when t = 2.
(b) the value(s) of t when the particle is momentarily at rest.
(c) the displacement when the particle is momentarily at rest.
(d) the acceleration of the particle when t = 5.
Date posted: April 25, 2019. Answers (1)
- A truck left town X at 11.45am and travelled towards town Y at an average speed of 60km/hr. A car left town X at
2.15pm on...(Solved)
A truck left town X at 11.45am and travelled towards town Y at an average speed of 60km/hr. A car left town X at
2.15pm on the same day and travelled along the same road at an average speed of 100km/hr. The distance between
the two towns is 500km.
(a) Calculate the time of the day when the car overtook the truck.
(b) The distance from Y when the car overtook the truck.
(c) After overtaking the bus, both vehicles continued towards Y at their original speeds. Find how long the car had to
wait at town Y before the truck arrived.
Date posted: April 25, 2019. Answers (1)