- The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and...(Solved)
The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and B.
a)Find the coordinates of A and B.
b)Calculate the area bounded by the curve y = 16 – x2 the y-axis and the x-axis.
c)Calculate the area of the shaded region that lies below the x – axis.
d)Calculate the area of the region enclosed by the curves y = 16 – x2, y = x2 – 4x and the y – axis.
Date posted: September 17, 2019. Answers (1)
- Towns P(360N, 490E) and town Q(360N, 1310W) are on the earth surface.
a)Find the difference between P and Q along the parallel of latitude...(Solved)
Towns P(360N, 490E) and town Q(360N, 1310W) are on the earth surface.
a)Find the difference between P and Q along the parallel of latitude given that the radius of the earth is 6370km. (Give your answer to the nearest km.)
b)Another town R, is 840km East of town Q and on the same latitude, find the position of R.
c)If the local time at town Q is 12:30am on Monday, what is the local time of town R?
Date posted: September 17, 2019. Answers (1)
- The table below shows the marks obtained in a mathematics examination marked out of 100.
a)Draw accumulative frequency curve on the grid provided.
b)Using the curve...(Solved)
The table below shows the marks obtained in a mathematics examination marked out of 100.
a)Draw accumulative frequency curve on the grid provided.
b)Using the curve drawn in a (above) determine;
i)The median mark.
ii)The quartile deviation.
c)If 35% of the students failed the examination use the graph to estimate the pass mark.
Date posted: September 17, 2019. Answers (1)
- The table below shows the rate of taxation in certain year.
A teacher in a technical institute paid a tax of Ksh. 10,855 after getting...(Solved)
The table below shows the rate of taxation in certain year.
A teacher in a technical institute paid a tax of Ksh. 10,855 after getting a monthly tax relief of
Ksh. 1162. Calculate;
a)His monthly taxable income.
b)His other deductions per month.
Cooperative society’s contributions Kshs. 3,000
Loan repayment Kshs. 19,000
Union dues Kshs 400
Calculate his net salary per month.
Date posted: September 17, 2019. Answers (1)
- The table below shows the values of x and y for the curve represented by;(Solved)
The table below shows the values of x and y for the curve represented by;
Date posted: September 17, 2019. Answers (1)
- A mixed school can accommodate a maximum of 440 students. The number of girls must be at least 120 while the number of boys must...(Solved)
A mixed school can accommodate a maximum of 440 students. The number of girls must be at least 120 while the number of boys must exceed 150.
Taking x to represent the number of boys and y the number of girls, write down all the inequalities representing the information above.
Date posted: September 16, 2019. Answers (1)
- The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of...(Solved)
The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of a circle, expressing it inform of x2 + y2 + ax + by + c = 0 where a, b and c are constants
Date posted: September 16, 2019. Answers (1)
- Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6. (Solved)
Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
Date posted: September 16, 2019. Answers (1)
- A farmer bought a tractor at Kshs.210,000 and sold at Kshs.52,500, after using it for five years. Calculate the annual rate of depreciation of the...(Solved)
A farmer bought a tractor at Kshs.210,000 and sold at Kshs.52,500, after using it for five years. Calculate the annual rate of depreciation of the tractor.
Date posted: September 16, 2019. Answers (1)
- Two chords PQ and RS of a circle meet a point X outside the circle. If PX = 6cm, QX = 3.5 cm and
XS...(Solved)
Two chords PQ and RS of a circle meet a point X outside the circle. If PX = 6cm, QX = 3.5 cm and
XS = 3 cm, find the length of the chord RS.
Date posted: September 16, 2019. Answers (1)
- Without using a calculator or mathematical tables simplify; (Solved)
Without using a calculator or mathematical tables simplify;
Date posted: September 16, 2019. Answers (1)
- Triangle ABC is the image of triangle XYZ when transformed under the matrix . If the area of triangle ABC is 770cm2, find the...(Solved)
Triangle ABC is the image of triangle XYZ when transformed under the matrix 
. If the area of triangle ABC is 770cm2, find the area of triangle XYZ.
Date posted: September 16, 2019. Answers (1)
- The probability that Christine qualifies for a job as a marketing manager depends on whether she passes or fails in mathematics. The probability that she...(Solved)
The probability that Christine qualifies for a job as a marketing manager depends on whether she passes or fails in mathematics. The probability that she fails in mathematics is ⅓. If she passes the probability that she qualifies for the job is ¾. If she fail there is a probability of 1/6 that she qualifies for the job. What is the probability that she qualifies for the job.
Date posted: September 16, 2019. Answers (1)
- Solve the equation(Solved)
Solve the equation
Date posted: September 16, 2019. Answers (1)
- The length and the breadth of a rectangular floor were measured and found to be 4.1m and 2.2m respectively. If a possible error of 0.01m...(Solved)
The length and the breadth of a rectangular floor were measured and found to be 4.1m and 2.2m respectively. If a possible error of 0.01m was made in each measurement. Calculate the percentage error in the area of the floor.
Date posted: September 16, 2019. Answers (1)
- Make y the subject of the formula.(Solved)
Make y the subject of the formula.
Date posted: September 16, 2019. Answers (1)
- Use logarithms, correct to 4 decimal places to evaluate(Solved)
Use logarithms, correct to 4 decimal places to evaluate
Date posted: September 16, 2019. Answers (1)
- The figure below shows cuboids ABCDEFGH. Given that AB=12 cm, BC= 8 cm and BF=4 cm.
(a)State the projection of AG on the plane EFGH.
(b)Determine the...(Solved)
The figure below shows cuboids ABCDEFGH. Given that AB=12 cm, BC= 8 cm and BF=4 cm.
(a)State the projection of AG on the plane EFGH.
(b)Determine the angle between the line AG and the Plane EFGH.
(c)Given that L! M and N are the mid points DC, FG and AB respectively, determine the angle between the planes ADM and NLM.
(d)Find the angle between the skew lines AG and BC.
Date posted: September 16, 2019. Answers (1)
- Two variables A and B are believed to be related by a law of the form A=mnB + 1.1 where m andn are constants. The...(Solved)
Two variables A and B are believed to be related by a law of the form A=mnB + 1.1 where m and n are constants. The table below shows corresponding values of A and B as obtained from an experiment.
By drawing a suitable straight line graph estimate the values of m and n.
Date posted: September 16, 2019. Answers (1)
- (a)Bag A contains 4 red balls and 5 white balls while bag B contains 6 red balls and 4 white ones.
(i)A bag is picked at...(Solved)
(a)Bag A contains 4 red balls and 5 white balls while bag B contains 6 red balls and 4 white ones.
(i)A bag is picked at random and a ball is picked, find the probability that the ball is
white.
(ii)A ball is removed from A and placed in bag B. Two balls are then picked from B at random one at a time without replacement; find the probability that the two balls are of the same colour.
(b)Three boys and three girls sit in a row of six seats. Find the probability that:-
(i)Three girls sit together.
(ii)The girls and boys sit in alternative seats.
Date posted: September 16, 2019. Answers (1)