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- The figure below represent a solid frustum. The faces ABCD and EFGH are parallel squares of sides 10cm and 6 cm respectively. Each...(Solved)
The figure below represent a solid frustum. The faces ABCD and EFGH are parallel squares of sides 10cm and 6 cm respectively. Each of the slanting edges AE, BF, CG and DH are equal to 4cm.
Determine:
a)The length of the projection of AE on the plane ABCD
b)The angle between the line AE and the plane ABCD
c)The angle between the plane BCGF and ABCD
Date posted: September 17, 2019. Answers (1)
- A bag contains blue, green and red pens of the same type in the ratio 8:2:5 respectively. A pen is picked at random without...(Solved)
A bag contains blue, green and red pens of the same type in the ratio 8:2:5 respectively. A pen is picked at random without replacement and its colour noted.
a)Determine the probability that the first pen picked is
i)Blue
ii)Either green or red.
b)Using a tree diagram, determine the probability that
i)The first two pens picked are both green
ii)Only one of the first pens picked is red.
Date posted: September 17, 2019. Answers (1)
- Lengths of 100 mango leaves from a certain mango tree were measured to the nearest centimeter and recorded as per the table below,
a) draw a...(Solved)
Lengths of 100 mango leaves from a certain mango tree were measured to the nearest centimeter and recorded as per the table below,
a) draw a cumulative frequency graph to represent this data.
b)Use your graph to estimate
i)The median length of the leaves
ii)The number of leaves whose lengths lie between 13cm and 17cm.
Date posted: September 17, 2019. Answers (1)
- A globe representing the earth has a radius of 0.5m. point A(00, 100W), B (00, 350E), P(600N, 1100E) and Q(600N, 1200W) are marked on...(Solved)
A globe representing the earth has a radius of 0.5m. point A(00, 100W), B (00, 350E), P(600N, 1100E) and Q(600N, 1200W) are marked on the globe.
a)Find the length of arc AB, leaving your answer in term of π
b)If O is the centre of the latitude 600N, find the area of the minor sector OPQ
c)Of the local time at Q is 10.30 a.m. on Monday, Determine the local time and day at P.
Date posted: September 17, 2019. Answers (1)
- The table below shows the current taxation rates in Kenya
A member of parliament’s monthly earnings are as follows: Basic salary Kshs. 300 000, commuted mileage...(Solved)
The table below shows the current taxation rates in Kenya
A member of parliament’s monthly earnings are as follows: Basic salary Kshs. 300 000, commuted mileage allowance of Kshs. 75 000, entertain allowance Ksh. 60 000, extraneous allowance Ksh. 30 000, house allowance Kshs. 70,000, car maintaince allowance Kshs 247 000. he is entitled to a personal relief of Kshs. 1162 every month.
a)If before the promulgation of the new constitution all the MP’s allowances were tax free, calculate the PAYE the MP’s used to pay
b)In the new constitution all the MP’s are taxed just like the other Kenyans. Calculate the percentage increase in the MP’s PAYE after the new law was passed.
Date posted: September 17, 2019. Answers (1)
- The line PQ is 6cm long. On one side of the line,
a)Draw the locus of T such that the area of triangle PTQ =...(Solved)
The line PQ is 6cm long. On one side of the line,
a)Draw the locus of T such that the area of triangle PTQ = 12cm2
b)Determine two points on the locus obtained in part a) above such that angle PTQ = 700 and
label them as T1 and T2.
Date posted: September 17, 2019. Answers (1)
- Two large and one small pump can fill a swimming pool in 4 hours. One large and three small pumps can also fill the...(Solved)
Two large and one small pump can fill a swimming pool in 4 hours. One large and three small pumps can also fill the swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps.
Date posted: September 17, 2019. Answers (1)
- A quantity D is directly proportional to Y and inversely proportional to the square of X. if Y is double and X is increased...(Solved)
A quantity D is directly proportional to Y and inversely proportional to the square of X. if Y is double and X is increased by 20%, find the ratio of the new value of D to the original value of D in the form a:b where a and b are integers.
Date posted: September 17, 2019. Answers (1)
- Determine the equation of the tangent to the curve at the point x = 2. (Solved)
Determine the equation of the tangent to the curve 
at the point x = 2.
Date posted: September 17, 2019. Answers (1)
- In the figure above OC is the tangent to the circle. If OE =8cm and OC = 6cm. find EA.(Solved)
In the figure above OC is the tangent to the circle. If OE =8cm and OC = 6cm. find EA.
Date posted: September 17, 2019. Answers (1)
- A is matrix and I is the 2 x 2 identity matrix. Determine the values of h and k for which
A-1...(Solved)
A is matrix 
and I is the 2 x 2 identity matrix. Determine the values of h and k for which
A-1 = hl + kA.
Date posted: September 17, 2019. Answers (1)
- A circle centre is the point C(2,3) passes through a point P(a,b). a point is the mid-point of the line CP.
a)Calculate the coordinates...(Solved)
A circle centre is the point C(2,3) passes through a point P(a,b). a point 
is the mid-point of the line CP.
a)Calculate the coordinates of P.
b)Determine the equation of the circle in the form x2 +y2 +ax + by + c = 0
Date posted: September 17, 2019. Answers (1)
- a) Expand and simplify (2x + y)5
b) Using the first four terms of the expansion to evaluate 6.025(Solved)
a) Expand and simplify (2x + y)5
b) Using the first four terms of the expansion to evaluate 6.025
Date posted: September 17, 2019. Answers (1)
- Evaluate 5 cos2? + 2 = 3sin2? - 2cos ? given that (Solved)
Evaluate 5 cos2θ + 2 = 3sin2θ - 2cos θ given that 
Date posted: September 17, 2019. Answers (1)
- Given that OA=6p – 4q, OB = 20 – 14q and AB = m(2p + 5q), Find the value of m.(Solved)
Given that OA=6p – 4q, OB = 20 – 14q and AB = m(2p + 5q), Find the value of m.
Date posted: September 17, 2019. Answers (1)
- Use a calculator to evaluate and give the answer correct to 5 significant figures. (Solved)
Use a calculator to evaluate 
and give the answer correct to 5 significant figures.
Date posted: September 17, 2019. Answers (1)
- Given the equation y = x2 – 5x +6
a)In the space provided below sketch the graph of the equation y = x2 – 5x +6
b)Write...(Solved)
Given the equation y = x2 – 5x +6
a)In the space provided below sketch the graph of the equation y = x2 – 5x +6
b)Write down the co – ordinates of the Y intercept and X intercept
c)Calculate the area grounded by the curve y = x2 – 5x +6 and the lines x = 0
and x= 4
Date posted: September 17, 2019. Answers (1)
- The frequency distribution of marks of 120 students is given in the table below
Draw an Ogive curve
(Solved)
The frequency distribution of marks of 120 students is given in the table below
Draw an Ogive curve
Date posted: September 17, 2019. Answers (1)
- The table below shows corresponding values of X and Y which are believed to be connected by a relation of the form Y = abx...(Solved)
The table below shows corresponding values of X and Y which are believed to be connected by a relation of the form Y = abx – 10 where a and b are constants.
By drawing an appropriate straight line graph on the grid provided
(i) Find the approximate numerical values of a and b
(ii) Hence establish the particular mathematical equation connecting the variables X and Y
b)By using the equation find the value of Y when X = 4.5 to the nearest Unit
Date posted: September 17, 2019. Answers (1)
- A city x is at (70°S, 90°E) and another city Y is at (70°S, 90° W)
a)Find the distance in nm from city X to City...(Solved)
A city x is at (70°S, 90°E) and another city Y is at (70°S, 90° W)
a)Find the distance in nm from city X to City Y:
i)Along a greet circle
ii) Along a parallel of latitude answer t (4.s .f)
b)A plane left town X speeding west at speed of 400knots
i)How long did it take to reach town Y (Give answer in hours and nearest minutes
ii)If the plane left city X at 8.30 A.M Monday local time, at what time did it reach city Y?
Date posted: September 17, 2019. Answers (1)