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- A (50oN, 40oW) and B(50oN, 80oE) lie on the surface of the earth. (take R=6370km, p = 22/7)
(a) Calculate the distance along the small circle...(Solved)
A (50oN, 40oW) and B(50oN, 80oE) lie on the surface of the earth. (take R=6370km, π = 22/7)
(a) Calculate the distance along the small circle between A and B, giving your answer in
i) Nautical miles
ii) Kilometers
(b) Find the distance between A and B along a great circle (over North pole) in
i) Nautical miles
ii) Kilometres
c) Find the time at A if the local time at B is 12:00 noon
Date posted: November 2, 2019. Answers (1)
- Use a ruler and compasses only for all the constructions in this question.
(a) Construct a triangle ABC such that angle BAC = 30o, AB=4cm and...(Solved)
Use a ruler and compasses only for all the constructions in this question.
(a) Construct a triangle ABC such that angle BAC = 30o, AB=4cm and AC = 6cm
b) Construct a circle passing through points A, B and C
c) On the opposite side of point C, locate point on the circumference such that
ACD= BCD. Measure length CD
Date posted: November 2, 2019. Answers (1)
- The sketch below represents the curve y=x2+5 and a straight line PQ which meets the x-axis andy-axis at the points (-4, 0) and (0, 8)...(Solved)
The sketch below represents the curve y=x2+5 and a straight line PQ which meets the x-axis and
y-axis at the points (-4, 0) and (0, 8) respectively. The line intersects the curve at point P and Q as
shown.
a) Find the equation of the line in the form y = mx + c
b) Determine the co-ordinates of P and Q
c) Calculate the area of the shaded region
Date posted: November 2, 2019. Answers (1)
- A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when
y=2 and x=25,
(a)...(Solved)
A quantity A varies jointly as the cube of y and inversely as the square root of x. If A = 7 when
y=2 and x=25,
(a) Write an equation convecting A, x and y
(b) Find the value of y to three significant figures, when A=12 and x=36
(c) Find the percentage change in A when y is decreased by 11% and x is increased by 21%.
Date posted: November 2, 2019. Answers (1)
- The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first
term is 6 and that...(Solved)
The first three terms of a G.P. are the first, fourth and tenth terms of an A.P. Given that the first
term is 6 and that all the terms of the G.P. are different, find the common ratio.
Date posted: November 2, 2019. Answers (1)
- Determine the quartile deviation from the data below.
42, 1, 12, 6, 14, 20, 24(Solved)
Determine the quartile deviation from the data below.
42, 1, 12, 6, 14, 20, 24
Date posted: November 2, 2019. Answers (1)
- In the figure below SR is a tangent to the circle, PQR is a straight line and PQ: QR = 1:1.
Find PR and QR given...(Solved)
In the figure below SR is a tangent to the circle, PQR is a straight line and PQ: QR = 1:1.
Find PR and QR given that SR = 8√2 cm
Date posted: November 2, 2019. Answers (1)
- Given that find
(a) A + B
(b) AB-1(Solved)
Given that 
find
(a) A + B
(b) AB-1
Date posted: November 2, 2019. Answers (1)
- Solve for x given logx3 + log3X = 2.(Solved)
Solve for x given logx3 + log3X = 2.
Date posted: November 2, 2019. Answers (1)
- Two grades of coffee A and B are costing sh 80 per kg and 180 per kg respectively are to be mixed
in order to produce...(Solved)
Two grades of coffee A and B are costing sh 80 per kg and 180 per kg respectively are to be mixed
in order to produce a blend worth sh 120 per kg. In what ratio should they be mixed?
Date posted: November 2, 2019. Answers (1)
- y varies partly as the square root of x and partly varies inversely as the cube of x.
When y=2, x=4 and when y=3, x=1. Express...(Solved)
y varies partly as the square root of x and partly varies inversely as the cube of x.
When y=2, x=4 and when y=3, x=1. Express y in terms of x.
Date posted: November 2, 2019. Answers (1)
- A point T divides line AB externally in the ratio 8:2. Given that the position vectors of A and B are 3i - 4l +...(Solved)
A point T divides line AB externally in the ratio 8:2. Given that the position vectors of A and B are 3i - 4l + k and -1 +j -3k respectively. Find the position vector of T in unit vector form.
Date posted: November 2, 2019. Answers (1)
- Solve for x given that 2 sin x = tax x for 00 = x = 3600(Solved)
Solve for x given that 2 sin x = tax x for 00 ≤ x ≤ 3600
Date posted: November 2, 2019. Answers (1)
- A businessman deposited Ksh 120000 in a bank account which was to earn him interest at the rate
of 12% p.a. compounded quarterly. Calculate his total...(Solved)
A businessman deposited Ksh 120000 in a bank account which was to earn him interest at the rate
of 12% p.a. compounded quarterly. Calculate his total amount after two years to the nearest Kenya
shillings
Date posted: November 2, 2019. Answers (1)
- Given sin find cos (90 - theta) without using mathematical tables or calculators.(Solved)
Given sin 
find cos (90 - theta) without using mathematical tables or calculators.
Date posted: November 2, 2019. Answers (1)
- Make P the subject of the formula(Solved)
Make P the subject of the formula
Date posted: November 2, 2019. Answers (1)
- A mathematics textbook which is actually 24.3cm long is measured as 24.5cm. Calculate the
percentage error in this measurement giving your answer correct to 3 s.f(Solved)
A mathematics textbook which is actually 24.3cm long is measured as 24.5cm. Calculate the
percentage error in this measurement giving your answer correct to 3 s.f
Date posted: November 2, 2019. Answers (1)
- Solve the equations
x2+2xy = 25 - y2
x = y (Solved)
Solve the equations
x2+2xy = 25 - y2
x = y
Date posted: November 2, 2019. Answers (1)
- Use logarithms to evaluate
(Solved)
Use logarithms to evaluate
Date posted: November 2, 2019. Answers (1)
- The figure below shows a transverse pulley systems.
The wheels have radius 15cm and 10cm respectively. If O1X=30cm and XO2 =20cm
Calculate:
(a) AO1C
(b) DO2F
(c) Length AD...(Solved)
The figure below shows a transverse pulley systems.
The wheels have radius 15cm and 10cm respectively. If O1X=30cm and XO2 =20cm
Calculate:
(a) AO1C
(b) DO2F
(c) Length AD to 4 decimal places
(d) Length BE
(e) Length of arc ABC and BEF.
(f) The length of the belt
Date posted: November 2, 2019. Answers (1)