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- A rectangular tank whose length is 50 cm and width 30cm contains 36 litres of water.
a) Determine the height of water in the tank.
b)...(Solved)
A rectangular tank whose length is 50 cm and width 30cm contains 36 litres of water.
a) Determine the height of water in the tank.
b) A heavy rectangle block has a length which is 5cm more than the width and a height of 5cm. If the width of the block is x cm, write down an expression for the volume of the block
c) The block is placed in the tank and the water level rises by 1cm. Determine the width and length of the block.
d) Determine the mass of the block given that its density is 1400kg/m3
Date posted: August 19, 2019. Answers (1)
- A particle which starts from rest acquires an acceleration of a =4-2t, where t is time in seconds.
Find:
a) The acceleration of the particle at t=3...(Solved)
A particle which starts from rest acquires an acceleration of a =4-2t, where t is time in seconds.
Find:
a) The acceleration of the particle at t=3 seconds
b) The time when the particle is at rest again.
c) The highest speed attained by the particle
d) The distance covered by the particle in the third second.
Date posted: August 19, 2019. Answers (1)
- Use tables of cubes, square roots and reciprocals to evaluate.(Solved)
Use tables of cubes, square roots and reciprocals to evaluate.
Date posted: August 19, 2019. Answers (1)
- The table below shows the number of books currently on loan to 95 members of a library.
a) Determine the mode number of books on loan...(Solved)
The table below shows the number of books currently on loan to 95 members of a library.
a) Determine the mode number of books on loan
b) Determine the inter quartile range
c) Calculate the mean and standard deviation of the data
Date posted: August 19, 2019. Answers (1)
- Three similar 21 inch television sets and five similar 17 inch television cost Ksh.129,250.(Solved)
Three similar 21 inch television sets and five similar 17 inch television cost Ksh.129,250. The difference between the cost of two 21 inch television sets and four 17 inch television sets is Ksh.22,000. Calculate the price of a 21- inch television set and that of 17-inch television set.
Date posted: August 19, 2019. Answers (1)
- In the figure below PQRS is a cyclic quadrilateral. Given that TPX is a tangent at P and O is the centre of the circle....(Solved)
In the figure below PQRS is a cyclic quadrilateral. Given that TPX is a tangent at P and O is the centre of the circle. RQX is a straight line with angle RPQ = 500, and angle PRS = 250.
Giving reasons in each case, find:
a) Angle PRQ
b) Angle PSR.
c) Angle PXQ
d) Angle TPS
e) Angle POS
Date posted: August 19, 2019. Answers (1)
- A cinema theatre has 200 seats. Tickets prices are Ksh 500 for adult and Ksh 250 for a child.
a) One evening 80% of the seats...(Solved)
A cinema theatre has 200 seats. Tickets prices are Ksh 500 for adult and Ksh 250 for a child.
a) One evening 80% of the seats in the cinema are occupied. Twenty of the people present are children. Calculate the total amount of money obtained from the sale of tickets that evening.
b) On another evening x children are present and all the seat are occupied. If the money obtained from the sale of tickets is Ksh 90500. Calculate the value of x.
c) The money obtained from sale of tickets in a given week is used to pay for maintenance and expenses. The balance is the profit for the week. If the ratio of profit to expenses is 3:4 and that of expenses to maintenance is 5:6 and given that Kshs. 1062000 was collected in a given week, calculate the profit for the week.
Date posted: August 19, 2019. Answers (1)
- After how long will a certain amount of money deposited at 12% p.a and compounded semi-annually take to double itself?(Solved)
After how long will a certain amount of money deposited at 12% p.a and compounded semi-annually take to double itself?
Date posted: August 19, 2019. Answers (1)
- The three sides of a right angled triangle are (x-1), (2x+8) and the hypotenuse (3x+1), find the dimensions of the triangle.(Solved)
The three sides of a right angled triangle are (x-1), (2x+8) and the hypotenuse (3x+1), find the dimensions of the triangle.
Date posted: August 19, 2019. Answers (1)
- Under a transformation matrix given below,a figure area 10cm2 is mapped onto a figure with an area of 20cm2. Find the matrix.(Solved)
Under a transformation matrix given below,a figure area 10cm2 is mapped onto a figure with an area of 20cm2. Find the matrix.
Date posted: August 19, 2019. Answers (1)
- In the figure below, O is the centre of circle. Angle BCA=800 and angle CBO = 100. Determine the size of angle CAB.(Solved)
In the figure below, O is the centre of circle. Angle BCA=800 and angle CBO = 100. Determine the size of angle CAB.
Date posted: August 19, 2019. Answers (1)
- Given that the area of the trapezium ABCD is 30.8cm2, find the length of AD.(Solved)
Given that the area of the trapezium ABCD is 30.8cm2, find the length of AD.
Date posted: August 19, 2019. Answers (1)
- The image of a point Q(1,2) after a translation is Q1(-1,2). What is the coordinate of the point R whose image is R1(-3,-3) after undergoing...(Solved)
The image of a point Q(1,2) after a translation is Q1(-1,2). What is the coordinate of the point R whose image is R1(-3,-3) after undergoing the same translation.
Date posted: August 19, 2019. Answers (1)
- 32 girls and 52 boys were on an overseas learning trip, and they were divided into as many groups as possible where the number of...(Solved)
32 girls and 52 boys were on an overseas learning trip, and they were divided into as many groups as possible where the number of groups of girls and the number of groups of boys are the same. How many girls and how many boys are there in each group?
Date posted: August 19, 2019. Answers (1)
- Evaluate without using a calculator or Mathematical tables leaving your answer in the simplest form.(Solved)
Evaluate without using a calculator or Mathematical tables leaving your answer in the simplest form.
Date posted: August 19, 2019. Answers (1)
- Evaluate without using a calculator(Solved)
Evaluate without using a calculator
Date posted: August 19, 2019. Answers (1)
- From a sector of a circle subtending an angle of 1500 and radius 14cm, a conical cup is made.
Determine:
a) The radius of the conical cup....(Solved)
From a sector of a circle subtending an angle of 1500 and radius 14cm, a conical cup is made.
Determine:
a) The radius of the conical cup.
b) The volume of the cup
Date posted: August 19, 2019. Answers (1)
- Factorize and simplify completely(Solved)
Factorize and simplify completely
Date posted: August 19, 2019. Answers (1)
- a) Fill in the table below.(Solved)
a) Fill in the table below.
b) On the same axes sketch the following curves;
y = 2 sin(x + 30) and y = 1 –2 cos 2x.
(c) Use your graph to solve the equation
2 sin (x + 30) + cos 2x = 1
(d) Find the;
(i) Period of y = 1 – cos2x
(ii) Phase angle of y = 2 sin (x + 30°)
Date posted: August 19, 2019. Answers (1)
- The graph below gives the motion of a car for some distance. Determine the total distance traveled.(Solved)
The graph below gives the motion of a car for some distance. Determine the total distance traveled.
Date posted: August 19, 2019. Answers (1)