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- A ship sails from A to D through B and C. B is 500km on a bearing of N50°E from A. C is on a...(Solved)
A ship sails from A to D through B and C. B is 500km on a bearing of N50°E from A. C is on a bearing of 340° from B and
at a distance of 620km. The bearings of D from A and C are N20°W and 560°W respectively.
(a) Using the scale 1cm to rep 100km, show the relative positions of A, B, C and D.
(b) Find the distance of D from:
(i) A
(ii) C
(c) Find the bearing of D from B.
(d) If the ship was sailing at an average of 500km/h. Find how long the journey took. Give the
answer to the nearest hour.
Date posted: May 9, 2019. Answers (1)
- Evaluate the following expression (Solved)
Evaluate the following expression
Date posted: May 9, 2019. Answers (1)
- Given that 5x = 4y, evaluate(Solved)
Given that 5x = 4y, evaluate
Date posted: May 9, 2019. Answers (1)
- A car dealer buys a car for Ksh 1,500,000 and hires it for 24 weeks at a charge of ksh 3000 per
day. Insurance costs Ksh...(Solved)
A car dealer buys a car for Ksh 1,500,000 and hires it for 24 weeks at a charge of ksh 3000 per
day. Insurance costs Ksh 42,000 during the entire period. He sold the car through a dealer at
sh 800,000. If the dealer was paid a commission of 2½% calculate the percentage profit made.
Date posted: May 9, 2019. Answers (1)
- Find a 2 x 2 matrix m such that;(Solved)
Find a 2 x 2 matrix m such that;
Date posted: May 9, 2019. Answers (1)
- The angle of elevation of the top of a flag post from a point A on the level ground is 12°. The angle of elevation...(Solved)
The angle of elevation of the top of a flag post from a point A on the level ground is 12°. The angle of elevation of the top
of the flag post from another point B nearer to the flag post and 98m away from A is 34°. B is in between A and the
bottom of the flag post and the three points are collinear. Find the height of the flag post to the nearest metre.
Date posted: May 9, 2019. Answers (1)
- Pamba bought 4 mobile phones and 2 laptops for ksh, 108,000. Rebecca bought 3 mobile phones and 5 laptops from the same shop for ksh...(Solved)
Pamba bought 4 mobile phones and 2 laptops for ksh, 108,000. Rebecca bought 3 mobile phones and 5 laptops from the same shop for ksh 228,000. How much will Juma pay for one mobile phone and 2 laptops.
Date posted: May 9, 2019. Answers (1)
- The present ages of two children are 3 years and 5 years respectively. After how long will the sum of the squares of
their ages be...(Solved)
The present ages of two children are 3 years and 5 years respectively. After how long will the sum of the squares of
their ages be 130?
Date posted: May 9, 2019. Answers (1)
- Use logarithms to 4 d.p to evaluate:(Solved)
Use logarithms to 4 d.p to evaluate:
Date posted: May 9, 2019. Answers (1)
- Either by striding 48cm or 54cm, Joan takes an exact number of steps to cross the road. Find the least width of the road
in metres.(Solved)
Either by striding 48cm or 54cm, Joan takes an exact number of steps to cross the road. Find the least width of the road
in metres.
Date posted: May 9, 2019. Answers (1)
- The interior angles of an irregular polygon are 70° and 110° and the rest are each 144°. Determine the number of sides
of the polygon.(Solved)
The interior angles of an irregular polygon are 70° and 110° and the rest are each 144°. Determine the number of sides
of the polygon.
Date posted: May 9, 2019. Answers (1)
- The ratio of Omondi and Kamau’s earning was 4:3. Omondi’s earning rose to Sh. 22,800 after an increase of 14%.
Calculate the percentage increase in Kamau’s...(Solved)
The ratio of Omondi and Kamau’s earning was 4:3. Omondi’s earning rose to Sh. 22,800 after an increase of 14%.
Calculate the percentage increase in Kamau’s earnings given that the sum of their earnings was ksh 39600 of each got
an increment.
Date posted: May 9, 2019. Answers (1)
- Find a scalar K such that(Solved)
Find a scalar K such that
Date posted: May 9, 2019. Answers (1)
- Two trucks P and Q approach each other at 52km/h and 61km/h respectively. Truck P is 12.5m long and Q is 13m long.
If they are...(Solved)
Two trucks P and Q approach each other at 52km/h and 61km/h respectively. Truck P is 12.5m long and Q is 13m long.
If they are 5m apart how many seconds elapses before the two completely pass each other. Give your answer to 2d.p.
Date posted: May 9, 2019. Answers (1)
- A line L is perpendicular to 3y - 4x = 7. Determine the acute angle between L and the x-axis.(Solved)
A line L is perpendicular to 3y - 4x = 7. Determine the acute angle between L and the x-axis.
Date posted: May 9, 2019. Answers (1)
- Evaluate without using tables or a calculator.(Solved)
Evaluate without using tables or a calculator.
100-1.5 X 320.2
Date posted: May 9, 2019. Answers (1)
- a) Complete the table below for the values of sin 2x and 2 cos (x - 30o)(Solved)
a) Complete the table below for the values of sin 2x and 2 cos (x - 30o)
b) On the grid provided, use a suitable scale to draw the graphs of y = sin 2x and y = 2 cos (x - 30o)
for 0o ≤ x ≤ 180o
c) Using the graph in part (b) above.
i) Estimate the solution to the equation 2cos (x - 30o) - sin 2x = 0 for 0o ≤ x ≤ 180o
ii) Estimate the value of x for which 4 cos (x - 30o) + 3 = 0
Date posted: May 9, 2019. Answers (1)
- The table below shows marks scored by 40 candidates in an examination.(Solved)
The table below shows marks scored by 40 candidates in an examination.
a) Using an assumed mean of 45.5 estimate :
i) Mean
ii) Standard deviation
b) Calculate the quartile deviation.
Date posted: May 9, 2019. Answers (1)
- The sketch below shows curve y = 2x2 + 4x + 3 and a straight line intersecting the curve at points A and B.(Solved)
The sketch below shows curve y = 2x2 + 4x + 3 and a straight line intersecting the curve at points A and B.
If the x-intercepts is -3.5 and the y-intercept is 7, find :
a) the equation of the straight line.
b) the coordinates of A and B
c) the area of the shaded region
Date posted: May 9, 2019. Answers (1)
- In the figure below, ABCDEF is a wedge. BC = 6cm, DC = 8cm and ED = 15cm.(Solved)
In the figure below, ABCDEF is a wedge. BC = 6cm, DC = 8cm and ED = 15cm.
Find the :
a) length BE
b) angle between BE and the plane EDCF
c) angle between plane ABDE and the plane EDCF
d) volume of the wedge
Date posted: May 9, 2019. Answers (1)