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- In the diagram below ABE is a tangent to a circle at B and DCE is a straight line.
If o, o...(Solved)
In the diagram below ABE is a tangent to a circle at B and DCE is a straight line.
If o, o and O is the centre of the circle.
Find the value of
Date posted: November 20, 2019. Answers (1)
- Elvis exchanged Ksh.600,000 to Sterling pounds. After settling the bills worth £1200, he changed the balance to Euros. He then purchased goods worthy 200 Euros....(Solved)
Elvis exchanged Ksh.600,000 to Sterling pounds. After settling the bills worth £1200, he changed the balance to Euros. He then purchased goods worthy 200 Euros. Using the exchange rates below, calculate his balance in Kenyan shillings.
Buying (Ksh) Selling (Ksh)
1 Sterling pound 114.20 114.50
1 Euro 101.20 101.30
Date posted: November 20, 2019. Answers (1)
- Evaluate(Solved)
Evaluate 
Date posted: November 20, 2019. Answers (1)
- The positions of three towns on the earth’s surface are given as P (600N, 550W), Q (200S, 550W) S (600N, 1250E) respectively (Take R =...(Solved)
The positions of three towns on the earth’s surface are given as P (600N, 550W), Q (200S, 550W) S (600N, 1250E) respectively (Take R = 6370km and π = 22/7)
a) Calculate the distance:
i. PQ in nautical miles.
ii. PS along the parallel of latitude in km.
iii. The shortest distance between P and S.
b) A plane leaves town T (840S, 100E) and flies westwards for 6 ½ hrs at a speed of 268 knots and reaches town R (840S, X0). Find the longitude X, give your answer to the nearest degree.
Date posted: November 20, 2019. Answers (1)
- A transformation whose matrix is maps a quadrilateral ABCD onto another quadrilateral A’B’C’D’ whose area is 540????2. Find the area of the quadrilateral ABCD.(Solved)
A transformation whose matrix is 
maps a quadrilateral ABCD onto another quadrilateral A’B’C’D’ whose area is 540𝑐𝑚2. Find the area of the quadrilateral ABCD.
Date posted: November 20, 2019. Answers (1)
- Two machines M and N produce 60% and 40% respectively of the total number of items manufactured in a factory. It is observed that 5%...(Solved)
Two machines M and N produce 60% and 40% respectively of the total number of items manufactured in a factory. It is observed that 5% of items produced by machine M are defective while 3% of the items produced by machine N are defective. If an item is selected at random from the factory, find the probability that it is defective.
Date posted: November 20, 2019. Answers (1)
- Trains A and B are moving in opposite directions on parallel tracks. Train A is 56 metres long and is moving at a speed of...(Solved)
Trains A and B are moving in opposite directions on parallel tracks. Train A is 56 metres long and is moving at a speed of 63km/h. Train B is 90 metres long and is moving at a speed of 45km/h. The two trains are about to start passing each other. Calculate the time, to the nearest second, that they will take to completely pass each other.
Date posted: November 20, 2019. Answers (1)
- ABCD and MNPQ in the figure below are two shutters of a window. The shutters are identical and square in shape. Both shutters are opened...(Solved)
ABCD and MNPQ in the figure below are two shutters of a window. The shutters are identical and square in shape. Both shutters are opened through an angle of 58°.
If each edge of the shutter is 70cm long, find the shortest distance from C to M.
Date posted: November 20, 2019. Answers (1)
- In the figure below, ABC is a tangent to the circle BDEF at B. BC = 17cm, DC = 10cm and BG = 15cm. chord...(Solved)
In the figure below, ABC is a tangent to the circle BDEF at B. BC = 17cm, DC = 10cm and BG = 15cm. chord FD intersects chord BE at G and FG: GD = 1: 5
Find the length of;
a) GD
b) GE
Date posted: November 20, 2019. Answers (1)
- Using matrices solve the following pair of simultaneous equations
6y - 2x + 20 = 0
3x - 7y - 26 = 0(Solved)
Using matrices solve the following pair of simultaneous equations
6y − 2x + 20 = 0
3x − 7y − 26 = 0
Date posted: November 20, 2019. Answers (1)
- Two taps, A and B, when opened at the same time can fill a tank in 3 hours 36 minutes. Tap A working alone takes...(Solved)
Two taps, A and B, when opened at the same time can fill a tank in 3 hours 36 minutes. Tap A working alone takes 3 hours longer than Tap B to fill the tank. How many hours does it take Tap A alone to fill the tank?
Date posted: November 20, 2019. Answers (1)
- Point M is the midpoint of a straight line XY. If the position vectors of Y and M are 3i + 4j - 2k and...(Solved)
Point M is the midpoint of a straight line XY. If the position vectors of Y and M are 3i + 4j − 2k and 3j − 0.5k respectively. Find the position vector of X, hence the magnitude of XY.
Date posted: November 20, 2019. Answers (1)
- Without using mathematical tables or calculators, simplify(Solved)
Without using mathematical tables or calculators, simplify
Date posted: November 20, 2019. Answers (1)
- Expand (1 + p)5 in ascending powers of ??. Hence use the expansion to estimate 1.045 giving your answer correct to 4 decimal places.(Solved)
Expand (1 + p)5 in ascending powers of 𝑝. Hence use the expansion to estimate 1.045 giving your answer correct to 4 decimal places.
Date posted: November 20, 2019. Answers (1)
- Given that A = make ?? the subject of the formula.(Solved)
Given that A = 
make 𝑐 the subject of the formula.
Date posted: November 20, 2019. Answers (1)
- Each side of a regular heptagon measures 11.2cm. What is the percentage error in calculating the heptagon’s perimeter?(Solved)
Each side of a regular heptagon measures 11.2cm. What is the percentage error in calculating the heptagon’s perimeter?
Date posted: November 19, 2019. Answers (1)
- Using completing the square method, solve
10x2 - 11x - 6 = 0(Solved)
Using completing the square method, solve
10x2 − 11x − 6 = 0
Date posted: November 19, 2019. Answers (1)
- The figure shows a water tank which consists of a hemispherical part surmounted on top of a cylindrical part. The two parts have the same...(Solved)
The figure shows a water tank which consists of a hemispherical part surmounted on top of a cylindrical part. The two parts have the same diameter of 2.1 M and the cylindrical part is 1.5 m high as shown. All surfaces of the tank are made of iron sheets. (Take π = 22/7)
(a) Allowing for 15% wastage in overlapping, calculate to 2d.p the area of iron sheets required.
(b) Ironsheet costs sh.400 per square meter while labour and other. Materials amountsto 50% of the cost of ironsheets. Find the cost of constructing the tank.
(c) Calculate the (i) volume of the tank in m3
(ii) capacity of the tank in litres.
Date posted: November 19, 2019. Answers (1)
- Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T.
(a) Determine the co-ordinates of T.
(b) Another...(Solved)
Lines L1 is given by equation y = -2x +4 and L2 is 3x- y=1 intersect at T.
(a) Determine the co-ordinates of T.
(b) Another line, L3 is perpendicular to line L2 and passes through point N(5,8).Determine its equation and leave the answer in the form of ax + by=c where a, b, and c are integers.
(c) Determine the equation of a perpendicular bisector of a line segment passing through points T and N.
Date posted: November 19, 2019. Answers (1)
- Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of...(Solved)
Three towns PQR are such that Q is 20km in the bearing of 045° from P while R is 27.5 km in the bearing of S20°E from Q.Using the scale of 1cm rep 5km.
(a) Determine the actual distance between P and R.
(b) State the true bearing of P from R.
(c) Show a point x which is equidistant from the three towns.
(d) Determine the actual distance from x to town R.
Date posted: November 19, 2019. Answers (1)