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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Use logarithms to 4 d.p to evaluate:
(Solved)
Use logarithms to 4 d.p to evaluate:
Date posted:
May 9, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Find a scalar K such that
(Solved)
Find a scalar K such that
Date posted:
May 9, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Mrs Mureithi has 20 acres of land. She intends to grow maize and beans. She requires sh.2000 to plant an acre of maize
and sh.4000 for...
(Solved)
Mrs Mureithi has 20 acres of land. She intends to grow maize and beans. She requires sh.2000 to plant an acre of maize
and sh.4000 for an acre of beans. Twice the area to be planted with maize should not be less than one of beans. The
total capital available is sh.60000. The estimated profit is sh.5000 for an acre of maize and sh.7000 for an acre of
beans.
By letting x and y to represent the area to be planted with maize and beans respectively.
a) Find the inequalities to represent the information.
b) On the grid provided, represent the inequalities and show the region which satisfy the condition.
c) Determine the expected maximum profit.
Date posted:
May 9, 2019
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Answers (1)
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A triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation
whose matrix is
(Solved)
A triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation
whose matrix is
a) On the grid provided below, draw triangle PQR and triangle P1Q1R1
b) Triangle P1Q1R1 is mapped onto a triangle whose vertices are P11(-2, -2), Q11(-5, -3) and R11(-4, -1)
i) Draw triangle P11Q11R11 on the same grid.
ii) Find the matrix representing transformation that maps triangle P1Q1R1 onto triangle P11Q11R11
c) Describe the transformation that maps PQR onto triangle P11Q11R11
Date posted:
May 9, 2019
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Answers (1)
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In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. BR which is a tangent to the circle...
(Solved)
In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. BR which is a tangent to the circle at B
meets PQ produced at R.
Given that PN = 14cm, NB = 5cm and BR = 6.5cm.
Calculate :
a) NR
b) AN
Date posted:
May 9, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Simplify leaving your answer in surd form
(Solved)
Simplify leaving your answer in surd form
Date posted:
May 9, 2019
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Answers (1)