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- A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion...(Solved)
A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion its velocity V meters per second after t seconds is given by V=9t2 – 2t3.
Calculate the:
(a)time taken for the particle to reach point B.
(b)time taken for the particle to attain maximum velocity.
(c)maximum velocity attained.
(d)the distance covered during the first 3 seconds.
Date posted: September 23, 2019. Answers (1)
- A company manufactures two types of toy machines x and y.
Type x machines must not be more than 20 and type y machine must be...(Solved)
A company manufactures two types of toy machines x and y.
Type x machines must not be more than 20 and type y machine must be greater than 10.The cost of four type x machines and three type y machines should not exceed sh 240 while the cost of five type x machines and nine type y machines should not be less than sh 450.
(a)Write down all the inequalities that fulfills the above conditions.
(b)Draw the graph to represent the above information by shading unwanted.
(c)If the company makes a profit of Sh 100 on the sale of machine x and Sh 200 on the sale of machine y.
Find the number of machine x and y that the company should sell in order to realize maximum and find the maximum profit.
Date posted: September 23, 2019. Answers (1)
- The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of...(Solved)
The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of the base is 30cm.M is the midpoint of WX such that VM=29cm.
Calculate:
(a)The vertical height of vertex V from the plane ABCD.
(b)The angle between plane of VWX and VyZ.
(c)The projection of the line yV to the plane wxyz.
(d)The angle between the planes WXCD and ABCD.
Date posted: September 23, 2019. Answers (1)
- (a)Use a ruler and a pair of compasses only to construct an isosceles triangle PQR in which PQ=PR=2cm and angle PQR = 300
(b)Measure line QP.
(c)Construct...(Solved)
(a)Use a ruler and a pair of compasses only to construct an isosceles triangle PQR in which PQ=PR=2cm and angle PQR = 300
(b)Measure line QP.
(c)Construct the perpendicular bisector of line QR.
(d)A point W moves such that it is always on the same side of QR as p.Construct the
Locus of point W such that angle QWR =300.
(e)Measure the longest distance from point P to the Locus of W.
Date posted: September 23, 2019. Answers (1)
- Complete the table below for the function y=3cos x and y=sin2x to 1 d.p.(Solved)
Complete the table below for the function y=3cos x and y=sin2x to 1 d.p.
Date posted: September 23, 2019. Answers (1)
- A cylindrical tank has a base of 2.1 m and a height of 10m.
A pipe of diameter 14cm supplies water to this tank at a...(Solved)
A cylindrical tank has a base of 2.1 m and a height of 10m.
A pipe of diameter 14cm supplies water to this tank at a rate of 49cm3/sec.
Calculate:
(a)The capacity of the tank in litres.
(b)The amount of water delivered in the tank in 1 hour in litres.
(c)The time taken for the tank to fill.
(d)The village consumes a full tank a day, with each family consuming an average of 150 litres per day. If each family pays a uniform rate of Sh 400 per month, calculate the total amount of money collected per month.
Date posted: September 23, 2019. Answers (1)
- The position of two towns A and B on the earth’s surface are A(450N, 200W) and B (450N, 1500E). Taking R = 6370km, find the...(Solved)
The position of two towns A and B on the earth’s surface are A(450N, 200W) and B (450N, 1500E). Taking R = 6370km, find the distance between A and B along the parallel of latitude.
Date posted: September 23, 2019. Answers (1)
- Wekesa and Ndinda working together can cultivate a piece of land in 6 days. Wekesa alone can complete the work in 15 days. After the...(Solved)
Wekesa and Ndinda working together can cultivate a piece of land in 6 days. Wekesa alone can complete the work in 15 days. After the two had worked for 4 days Wekesa withdrew the services. Find the time taken by Ndinda to complete the remaining work.
Date posted: September 23, 2019. Answers (1)
- Expand upto the term in x3. Hence use the expansion above to find the approximate value of (101)5 (Solved)
Expand 
upto the term in x3. Hence use the expansion above to find the approximate value of (101)5
Date posted: September 23, 2019. Answers (1)
- Determine the centre and the radius of a circle whose equation is x2 + 2x = 16y - y2(Solved)
Determine the centre and the radius of a circle whose equation is x2 + 2x = 16y - y2
Date posted: September 23, 2019. Answers (1)
- A box contains 36 balls all of the same size and shape, if y of the balls are red, 19 are white and the rest...(Solved)
A box contains 36 balls all of the same size and shape, if y of the balls are red, 19 are white and the rest are blue. A ball is picked from the box at random. If the probability that this ball is red is 1/3 Find
(a)The value of y
(b)The probability that the ball picked is blue.
Date posted: September 23, 2019. Answers (1)
- Make Q the subject of the formula.(Solved)
Make Q the subject of the formula.
Date posted: September 23, 2019. Answers (1)
- Calculate the standard deviation (S.D) for the set of numbers given:
4, 6, 12,3,9,8. (Solved)
Calculate the standard deviation (S.D) for the set of numbers given:
4, 6, 12,3,9,8.
Date posted: September 23, 2019. Answers (1)
- Find the compound interest on Ksh. 21,000 in 3 years at a Rate of 20% P.a. Compounded semi annually.(Solved)
Find the compound interest on Ksh. 21,000 in 3 years at a Rate of 20% P.a. Compounded semi annually.
Date posted: September 23, 2019. Answers (1)
- An aeroplane flies 125km in the direction 1100. It then changes course and flies for 170km in the direction of 1600. Find by calculation its...(Solved)
An aeroplane flies 125km in the direction 1100. It then changes course and flies for 170km in the direction of 1600. Find by calculation its distance from the starting point.
Date posted: September 23, 2019. Answers (1)
- Find the sum of the first 10 terms of the series: Log x + log x2 + log x3……………(Solved)
Find the sum of the first 10 terms of the series: Log x + log x2 + log x3……………
Date posted: September 23, 2019. Answers (1)
- If
Find the values of a, b and c(Solved)
If 
Find the values of a, b and c
Date posted: September 23, 2019. Answers (1)
- The figure below is a segment of a circle cut-off by chord AB. Line MX is perpendicular Bisector of chord AB.
If AB is 20cm ad...(Solved)
The figure below is a segment of a circle cut-off by chord AB. Line MX is perpendicular Bisector of chord AB.
If AB is 20cm ad MX is 6cm. Calculate the radius of the circle from which the chord was cut.
Date posted: September 23, 2019. Answers (1)
- Solve the simultaneous equations:(Solved)
Solve the simultaneous equations:
Date posted: September 23, 2019. Answers (1)
- A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.(Solved)
A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.
Date posted: September 23, 2019. Answers (1)