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- Given OX = 4i + j + 3k and OY = 7i - 5j + k. If M is the mid-point of line XY, determine...(Solved)
Given OX = 4i + j + 3k and OY = 7i - 5j + k. If M is the mid-point of line XY, determine the modulus of XM.
Date posted: May 9, 2019. Answers (1)
- The table below is part of the tax table for monthly income for the year 2007.(Solved)
The table below is part of the tax table for monthly income for the year 2007.
In that year, Adan’s monthly gross tax was Ksh.2,885. Calculate his monthly income.
Date posted: May 9, 2019. Answers (1)
- An aeroplane took off from an airport at (68oN, 86oE) and flew due West for a distance of 1000 nautical miles before landing. Find to...(Solved)
An aeroplane took off from an airport at (68oN, 86oE) and flew due West for a distance of 1000 nautical miles before landing. Find to the nearest degree, the coordinates of the place where the plane landed.
Date posted: May 9, 2019. Answers (1)
- Two students are selected at random from a class of 15 boys and 10 girls. Find the probability that(Solved)
Two students are selected at random from a class of 15 boys and 10 girls. Find the probability that
a) they are both boys
b) one is a boy and the other is a girl
Date posted: May 9, 2019. Answers (1)
- Simplify leaving your answer in surd form(Solved)
Simplify leaving your answer in surd form
Date posted: May 9, 2019. Answers (1)
- a) Complete the following table for the function y = 6 + 3x - 2x2(Solved)
a) Complete the following table for the function y = 6 + 3x - 2x2
b) Using the completed table and the trapezoidal rule with 10 strips, estimate the area bounded by the curve and the
lines y = -8 and x = -1.5
Date posted: May 9, 2019. Answers (1)
- The coordinates of the ends of a diameter of a circle are (6, 4) and (-2, 2). If the centre of the circle is Q,...(Solved)
The coordinates of the ends of a diameter of a circle are (6, 4) and (-2, 2). If the centre of the circle is Q, determine:
a) the coordinates of centre Q
b) the equation of the circle expressing it in the form x2 + y2 + ax + by + c = 0 where a, b and c are constants.
Date posted: May 9, 2019. Answers (1)
- The length and width of a rectangle measured to the nearest centimetre are 10cm and 6cm respectively. Calculate the
percentage error in the area giving your...(Solved)
The length and width of a rectangle measured to the nearest centimetre are 10cm and 6cm respectively. Calculate the
percentage error in the area giving your answer to 1 decimal place.
Date posted: May 9, 2019. Answers (1)
- Solve for x,given that;(Solved)
Solve for x,given that;
Date posted: May 9, 2019. Answers (1)
- Grade A tea is mixed with grade B tea. The cost per kg of grade A is Ksh.60 and that of grade B is Ksh.80....(Solved)
Grade A tea is mixed with grade B tea. The cost per kg of grade A is Ksh.60 and that of grade B is Ksh.80. Find the ratio
in which the two grades should be mixed in order to make a profit of 20% by selling 1kg of the mixture at Ksh.90.
Date posted: May 9, 2019. Answers (1)
- a) Determine the inverse of the matrix(Solved)
a) Determine the inverse of the matrix
b) Hence find the coordinates of the point of intersection of the lines x + 2y = 7 and -y + x = 1
Date posted: May 9, 2019. Answers (1)
- R is partly constant and partly varies as the square of q. When R = 5, q = 1 and R = 21 when q...(Solved)
R is partly constant and partly varies as the square of q. When R = 5, q = 1 and R = 21 when q = 3. Find the value of R
when q = 5
Date posted: May 9, 2019. Answers (1)
- Use logarithms to evaluate(Solved)
Use logarithms to evaluate
Date posted: May 9, 2019. Answers (1)
- PQRS is a trapezium where PQ is parallel to SR. PR and SQ intersect at X, so that SX = kSQ and PX = hPR...(Solved)
PQRS is a trapezium where PQ is parallel to SR. PR and SQ intersect at X, so that SX = kSQ and PX = hPR where k and h
are constants.
Vectors PQ = 3q and PS = s, SR = q
a) Show this information on a diagram.
b) Express vector SQ in terms of s and q
c) Express SX in terms of k, q and s
d) Express SX in terms of h, q and s
e) Obtain h and k
f) In what ratio does X divide SQ ?
Date posted: May 9, 2019. Answers (1)
- A particle starts from rest and moves in a straight line. Its velocity Vm/s is given by V = t2 - 3t + 2, where...(Solved)
A particle starts from rest and moves in a straight line. Its velocity Vm/s is given by V = t2 - 3t + 2, where t is the time in seconds moved from a point O.
Find :
a) i)the velocity when t = 3.
ii) the displacement from O when t = 3.
iii) the acceleration of the particle when t = 3.
b) At what time is the particle momentarily at rest ?
Date posted: May 9, 2019. Answers (1)
- In the figure below, ABC is a tangent to the circle, centre O. DOG is a diameter and angle DGF = 60o, angle DBC =...(Solved)
In the figure below, ABC is a tangent to the circle, centre O. DOG is a diameter and angle DGF = 60o, angle DBC = 48o and angle DFE = 25o. Giving reasons, find the size of angles :
) FED
ii) Obtuse FOB
iii) EBD
iv) BCD
v) OBE
Date posted: May 9, 2019. Answers (1)
- A certain number of people agreed to contribute equally to buy books worth shs.1200 for a school library. Five people
pulled out and so that others...(Solved)
A certain number of people agreed to contribute equally to buy books worth shs.1200 for a school library. Five people
pulled out and so that others agreed to contribute an extra sh.40 each. Their contribution enabled them to raise the
sh.1200 expected.
a) If the original number of people was x, write an expression of how much each was originally going to contribute.
b) Write down the expression of how much each contributed after the five people pulled out.
c) Calculate how many people made the contribution.
d) If the prices of books before buying went up in the ratio 5 : 4 how much extra did each contributor give.
Date posted: May 9, 2019. Answers (1)
- A conical glass contains water to a height of 14cm and has a water surface of radius 12cm. A student wishes to
determine the radius, volume...(Solved)
A conical glass contains water to a height of 14cm and has a water surface of radius 12cm. A student wishes to
determine the radius, volume and surface area of a spherical pebble. When he drops the pebble in the water, the water
level rises by 8cm and its surface on the glass has a radius of 16cm as shown below.
a) Find x
b) Find the volume of the pebble
c) Find the radius of the pebble
d) Find the surface area of the pebble
Date posted: May 9, 2019. Answers (1)
- Three ships P, Q and R are at sea such that ship Q is 400km on a bearing of 030o from ship P. Ship R...(Solved)
Three ships P, Q and R are at sea such that ship Q is 400km on a bearing of 030o from ship P. Ship R is 750km from
ship Q and on a bearing of S60oE from ship Q. Ship Q is 1000km and to the north of an enemy ship S.
a) Taking a scale of 1cm to represent 100km, locate the position of ships P, Q, R and S.
b) Find the compass bearing of :
i) ship P from ship S
ii) ship S from ship R
c) Use the scale drawing to determine
i) the distance of S from P
ii) the distance of R from S
d) Find the bearing of :
i) Q from R
ii) P from R
Date posted: May 9, 2019. Answers (1)
- Line segment AB is given below: Mark point D on line AB produced, such that AD : DB = 7 : -2(Solved)
Line segment AB is given below: Mark point D on line AB produced, such that AD : DB = 7 : -2
Date posted: May 9, 2019. Answers (1)