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The figure below is a triangle OAB, where
(Solved)
The figure below is a triangle OAB, where βπβββπ΄β =a and βπβββπ΅β =b. A point R divides AB in the ratio 1:3 βπβββπ
β and βπ΄βββπβ
intersect at D.
a) Find in terms of a and b
i) BT
ii) OR
iii) AT
b) If OD=hOR and AD=kAT, express OD in two ways hence determine the values of h and k.
Date posted:
May 7, 2019
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Answers (1)
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The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
(Solved)
The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
a) Calculate
i) Angle ASB
ii) Angle ARB
b) Calculate the area of the shaded region.
Date posted:
May 7, 2019
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Answers (1)
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Christians who attended a church service on Sunday were grouped by age as shown in the table below.
(Solved)
Christians who attended a church service on Sunday were grouped by age as shown in the table below.
Estimate the mean age
Date posted:
May 7, 2019
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Answers (1)
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Use logarithms tables to evaluate
(Solved)
Use logarithms tables to evaluate
Date posted:
May 7, 2019
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Answers (1)
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Solve for x; if 9x x 27x - 1 = 1
(Solved)
Solve for x; if 9x x 27x - 1 = 1
Date posted:
May 7, 2019
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Answers (1)
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Simplify the following expression completely.
(Solved)
Simplify the following expression completely.
Date posted:
May 7, 2019
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Answers (1)
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Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
(Solved)
Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
Date posted:
May 7, 2019
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Answers (1)
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Construct the image ??1??1??1 of the object PQR below though a rotation of -60 using centre C.
(Solved)
Construct the image π1π1π
1 of the object PQR below though a rotation of -60 using centre C.
Date posted:
May 7, 2019
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Answers (1)
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The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as...
(Solved)
The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as the base line, 200m long.
Date posted:
May 7, 2019
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Answers (1)
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A Kenyan bank buys and sells foreign currencies as shown below.
(Solved)
A Kenyan bank buys and sells foreign currencies as shown below.
A tourist arrived in Kenya from Britain with 126,000 UK sterling pounds. He converted the pounds into Kenyan
shillings. While in Kenya he spent 4/5of the money. He changed the balance to US dollars. Calculate to the nearest Dollar,
the amount he received.
Date posted:
May 7, 2019
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Answers (1)
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Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest...
(Solved)
Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest are one shilling coins. Find the number of ten shilling coins that mashillingi has.
Date posted:
May 7, 2019
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Answers (1)
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Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has an area of 810 cm2. What is the area of...
(Solved)
Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has
an area of 810 cm2. What is the area of the corresponding surface of the large container.
Date posted:
May 7, 2019
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Answers (1)
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Given that log of 7 = 0.8451 and log of 6 = 0.7782. Find log of 25.2
(Solved)
Given that πππ7 = 0.8451 πππ πππ6 = 0.7782. ππππ πππ25.2
Date posted:
May 7, 2019
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Answers (1)
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The equation of a line is -3/5x + 3y = 6 Find
(Solved)
The equation of a line is -3/5x + 3y = 6 Find
a) The gradient of the line
b) The equation of a line passing through the point (1,2) and is perpendicular to the given line
Date posted:
May 7, 2019
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Answers (1)
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Without using mathematical tables or calculators, evaluate.
(Solved)
Without using mathematical tables or calculators, evaluate.
Date posted:
May 7, 2019
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Answers (1)
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The table below shows heights of student in a certain school.
(Solved)
The table below shows heights of student in a certain school.
a) Construct cumulative frequency distribution table. (2 marks)
b) Draw cumulative frequency curve (o-give) for the above data.
c) From the o-give curve
i) Find the percentage of students whose height is below 166cm.
ii) Find the quartile deviation.
Date posted:
May 7, 2019
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Answers (1)
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A triangle has vertices A (1,2), B (7,2) and C (5,4)
(Solved)
A triangle has vertices A (1,2), B (7,2) and C (5,4)
a) Draw ABC on the Cartesian plane.
b) Construct the image triangle π΄1π΅1πΆ1 of triangle ABC under negative quarter turn about the origin.
c) Draw triangle π΄11π΅11πΆ11 the image of triangle π΄1π΅1πΆ1 under reflection in the line y=x. State the coordinates
of π΄11π΅11πΆ11.
d) Find a single matrix of transformation which maps triangle ABC on to triangleπ΄11π΅11πΆ11
e) Describe a single transformation that maps triangle π΄11π΅11πΆ11 on triangle ABC.
Date posted:
May 7, 2019
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Answers (1)
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The probability that three dart players Akinyi, kamau and Juma hit bullβs eye are 0.2, 0.3 and 0.15 respectively.
(Solved)
The probability that three dart players Akinyi, kamau and Juma hit bullβs eye are 0.2, 0.3 and 0.15 respectively.
a) If each plays once show the possible outcomes on a tree diagram.
b) Calculate the probability that
i)All hit the bulls eye
ii)Only one hit the bulls eye
iii)Almost one misses the bulls eye.
Date posted:
May 7, 2019
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Answers (1)
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a) Using mid-ordinate rule, estimate the area under the curve y =1/2x2 - 2. Using six strips between x=2 and x=8and x-axis.
(Solved)
a) Using mid-ordinate rule, estimate the area under the curve y =1/2x2 - 2. Using six strips between x=2 and x=8
and x-axis.
b) Using intergration to determine the exact area under the curve.
c) Find the percentage error in calculating the area using the mid-ordinate rule.
Date posted:
May 7, 2019
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Answers (1)
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In the figure below A and B are centres of circles. PQ=12cm is an internal tangent AB=15cm and the ratio of the radii
is 2:3
(Solved)
In the figure below A and B are centres of circles. PQ=12cm is an internal tangent AB=15cm and the ratio of the radii
is 2:3
Calculate :
a) The radii of the circles
b) Distance AT and TQ
Date posted:
May 7, 2019
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Answers (1)