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- The mass of a cylindrical metal rod of radius 14cm and height 10cm is 5.47kg. Find it’s density in g/cm3 to 2 decimal places.(Solved)
The mass of a cylindrical metal rod of radius 14cm and height 10cm is 5.47kg. Find it’s density in g/cm3 to 2 decimal places.
Date posted: May 6, 2019. Answers (1)
- Eight years ago the age of a father was six times the age of his son and after eight years from today the age of...(Solved)
Eight years ago the age of a father was six times the age of his son and after eight years from today the age of the
father would be only twice the age of his son. Find their present ages.
Date posted: May 6, 2019. Answers (1)
- Given that a = 5i + 2j and h = 3i + 4j evaluate |7?? - 5h|(Solved)
Given that a = 5i + 2j and h = 3i + 4j evaluate |7𝑎 − 5ℎ|
Date posted: May 6, 2019. Answers (1)
- Simplify the expression(Solved)
Simplify the expression
Date posted: May 6, 2019. Answers (1)
- The sum of interior angles of a regular polygon is 32400. Find the size of each exterior angle.(Solved)
The sum of interior angles of a regular polygon is 32400. Find the size of each exterior angle.
Date posted: May 6, 2019. Answers (1)
- Two boats P and Q are located 45km apart, P being due north of Q. An observer at P spots a ship whose bearing he
finds...(Solved)
Two boats P and Q are located 45km apart, P being due north of Q. An observer at P spots a ship whose bearing he
finds as S560. From Q the bearing of the same ship is N380E. Calculate the distance of the ship from Q to 2 decimal places.
Date posted: May 6, 2019. Answers (1)
- Simplify the expression.(Solved)
Simplify the expression.
Date posted: May 6, 2019. Answers (1)
- Use the prime factors of 1936 and 1728 to evaluate.(Solved)
Use the prime factors of 1936 and 1728 to evaluate.
Date posted: May 6, 2019. Answers (1)
- A square of side (x + 2) cm has the same area as a rectangle measuring (2x + 4) cm and (x - 2) cm....(Solved)
A square of side (x + 2) cm has the same area as a rectangle measuring (2x + 4) cm and (x - 2) cm. Calculate the area
of the rectangle.
Date posted: May 6, 2019. Answers (1)
- The positions of three ports in the Indian Ocean are p (400N, 300W) Q(400N, 200E) and R (360S,300W) respectively.(Solved)
The positions of three ports in the Indian Ocean are p (400N, 300W) Q(400N, 200E) and R (360S,300W) respectively.
(a) Find the distance in nautical miles to the nearest nm between:
(i) Ports p and Q
(ii) Ports P and R
(b) A ship left port P on Tuesday 1430 hours and sailed to port Q at 20 knots.
Calculate:
(i) The local time at port Q when the ship left port P
(ii) The day and time the ship arrived at port Q
Date posted: May 6, 2019. Answers (1)
- The table below gives marks scored by candidates in a mathematics test.(Solved)
The table below gives marks scored by candidates in a mathematics test.
(a) Using an assumed mean of 25.5, calculate the mean mark.
(b) Estimate the median mark.
(c) Calculate the standard deviation of the marks
Date posted: May 6, 2019. Answers (1)
- Given the series 3 + 9 + 15 + 21 + 27 + ……………………………….. find the number of the terms that will given a sum...(Solved)
Given the series 3 + 9 + 15 + 21 + 27 + ……………………………….. find the number of the terms that will given a sum of 432
Date posted: May 6, 2019. Answers (1)
- The eleventh term of an arithmetic progression is four times its second term. The sum of the first seven terms of
the same progression is 175.Find...(Solved)
The eleventh term of an arithmetic progression is four times its second term. The sum of the first seven terms of
the same progression is 175.Find the first term and the common difference of the progression
Date posted: May 6, 2019. Answers (1)
- The figure below represents a rectangular based pyramid VABCD. AB = 16cm and AD = 20cm. Point O is vertically
below V and VA = 30cm.(Solved)
The figure below represents a rectangular based pyramid VABCD. AB = 16cm and AD = 20cm. Point O is vertically
below V and VA = 30cm.
Calculate:
(a) The height, VO, of the pyramid
(b) The angle between the edge VA and the plane ABCD
(c) The angle between the planes VAB and ABCD.
Date posted: May 6, 2019. Answers (1)
- In the figure below XC is a tangent to the circle ABYC at C and Y is the midpoint of arc BC.(Solved)
In the figure below XC is a tangent to the circle ABYC at C and Y is the midpoint of arc BC.
If angle BXC = 280 and angle BCA = 2 angle ACX.
Find, giving reasons for your answer:
(a) (i) angle CBA
(ii) angle CBY
(iii)angle BYC
(b) Given that AX = 10cm and XC = 12cm, calculate the length of BX
Date posted: May 6, 2019. Answers (1)
- Obtain the centre and radius of a circle represented by the equation:
x2 + y2 + 4x – 10y – 7 = 0(Solved)
Obtain the centre and radius of a circle represented by the equation:
x2 + y2 + 4x – 10y – 7 = 0
Date posted: May 6, 2019. Answers (1)
- (a) Expand:
(2 + x)5 up to the term containing x3(Solved)
(a) Expand:
(2 + x)5 up to the term containing x3
(b) Use the expansion in (a) above to the find the approximate value of (1.99)5 correct to three decimal places.
Date posted: May 6, 2019. Answers (1)
- A tea blender buys two grades of tea at Sh. 60 and Sh. 80 per packet. Find the ratio in which she should mix them...(Solved)
A tea blender buys two grades of tea at Sh. 60 and Sh. 80 per packet. Find the ratio in which she should mix them so
that by selling the mixture at Sh. 90, a profit of 20% is realized.
Date posted: May 6, 2019. Answers (1)
- Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
If...(Solved)
Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
If P = 6 when Q = R and R = 25. Find the value of P when Q = 15 and R = 81.
Date posted: May 6, 2019. Answers (1)
- The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle...(Solved)
The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle OAB = 1200.
Calculate the radius of the circle.
Date posted: May 6, 2019. Answers (1)