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- A (-1, 3) and B (3, 5) are points on the Cartesian plane. Determine the equation of the perpendicular bisector of AB in the form...(Solved)
A (-1, 3) and B (3, 5) are points on the Cartesian plane. Determine the equation of the perpendicular bisector of AB in the form ax + by +c=0.
Date posted: November 7, 2019. Answers (1)
- The figure below (Not drawn to scale) shows the cross-section of a metal bar of length 3metres. The ends are equal semi-circles. (use ?=3.142)
Determine the...(Solved)
The figure below (Not drawn to scale) shows the cross-section of a metal bar of length 3metres. The ends are equal semi-circles. (use Π=3.142)
Determine the mass of the metal bar in kg if the density of the metal is 2.35g/cm3. (Give your answer to two 2dp).
Date posted: November 7, 2019. Answers (1)
- The figure shows part of a cuboid ABCDEFGH complete the diagram showing the hidden edges with broken lines.(Solved)
The figure shows part of a cuboid ABCDEFGH complete the diagram showing the hidden edges with broken lines.
Date posted: November 7, 2019. Answers (1)
- The figure below is a velocity –time graph of a certain car.
a) Find the total distance traveled by the car.
b) Calculate the deceleration of...(Solved)
The figure below is a velocity –time graph of a certain car.
a) Find the total distance traveled by the car.
b) Calculate the deceleration of the car.
Date posted: November 7, 2019. Answers (1)
- Solve the following inequalities and state the integral values.
x – 3 = 3x – 1 < x + 11(Solved)
Solve the following inequalities and state the integral values.
x – 3 ≤ 3x – 1 < x + 11
Date posted: November 7, 2019. Answers (1)
- Evaluate.(Solved)
Evaluate. 
Date posted: November 7, 2019. Answers (1)
- A coin is biased such that it shows a tail with the probability of 1/3 . The same coin is tossed three times find the...(Solved)
A coin is biased such that it shows a tail with the probability of 1/3 . The same coin is tossed three times find the probability of obtaining.
i) Two coins on the first two tosses.
ii) A head, a tail and a tail in that order.
iii) Two heads and one tail
Date posted: November 7, 2019. Answers (1)
- The probability that Peter will be selected for his school hockey team is 1/3. If he is selected for the hockey team, then the probability...(Solved)
The probability that Peter will be selected for his school hockey team is 1/3. If he is selected for the hockey team, then the probability of being selected for basketball is 4/7 .
i) Draw a tree diagram to represent the above information.
ii) Using the tree diagram or otherwise, calculate the probability that Peter is selected for at least one of the terms.
Date posted: November 7, 2019. Answers (1)
- The figure below shows frustrum ABCDEFH of a right pyramid. AB = 24cm, BC = 10cm, FG = 18cm, GH=7.5cm and AF = BG =...(Solved)
The figure below shows frustrum ABCDEFH of a right pyramid. AB = 24cm, BC = 10cm, FG = 18cm, GH=7.5cm and AF = BG = CH = DE = 15cm.
Determine.
a) The altitude of the pyramid.
b) The angle between:
i) AF and the base ABCD
ii) FE and GB
c) The distance AG
Date posted: November 7, 2019. Answers (1)
- The figure below shows a sketch of a curve y = 3x² - 5x + 8 from x = -4 to x = +2
a) Use...(Solved)
The figure below shows a sketch of a curve y = 3x² - 5x + 8 from x = -4 to x = +2
a) Use the mid ordinate rule with 6 strips to estimate the area between the curve, the x-axis and line x=-4 and x = +2
b) Use integration to find the exact are in (a) above.
c) Calculate the 4s.f the percentage error in area estimated by the mid ordinate rule.
Date posted: November 7, 2019. Answers (1)
- Students in a form three class sat for a Chemistry exam which was marked out of 100 marks. The students were 100 in total. The...(Solved)
Students in a form three class sat for a Chemistry exam which was marked out of 100 marks. The students were 100 in total. The table below shows the distribution of students and marks scored.
Determine:
a) The quartile deviation.
b) The passmark if 35% of the students failed.
c) The minimum mark required if only five students got grade A.
Date posted: November 7, 2019. Answers (1)
- A number 0.7 is truncated to 3.sf. Calculate the percentage error due to the truncation.(Solved)
A number 0.7 is truncated to 3.sf. Calculate the percentage error due to the truncation.
Date posted: November 7, 2019. Answers (1)
- Find the terms of the series 2 + 6 + 10 + 14 + . . . . . . that will give a sum...(Solved)
Find the terms of the series 2 + 6 + 10 + 14 + . . . . . . that will give a sum of 800.
Date posted: November 7, 2019. Answers (1)
- The hire purchase price of a machine is sh 36750. If 10% is paid as deposit and the rest of the money is spread over...(Solved)
The hire purchase price of a machine is sh 36750. If 10% is paid as deposit and the rest of the money is spread over 15 equal monthly installments, find the amount payable every month.
Date posted: November 7, 2019. Answers (1)
- A variable N varies as the square of r and inversely as the square roots of P. What is in the percentage change in N...(Solved)
A variable N varies as the square of r and inversely as the square roots of P. What is in the percentage change in N if r is increased by 15% and P id deceased by 36%.
Date posted: November 7, 2019. Answers (1)
- Solve for the value of x if(Solved)
Solve for the value of x if
Date posted: November 7, 2019. Answers (1)
- Wanyama bought maize flour, sorghum and millet at sh 12, sh 15 and sh 18 per kg respectively. He mixes them in the ratio 1...(Solved)
Wanyama bought maize flour, sorghum and millet at sh 12, sh 15 and sh 18 per kg respectively. He mixes them in the ratio 1 : 2 : x respectively. After selling the mixture at sh 19.20 he made a profit of 20%. Find the value of x.
Date posted: November 7, 2019. Answers (1)
- Expand (1 + 1/2x)5 upto the term on x³, use the expansion to estimate the value of (1.05)5 correct to 4 significant figures.(Solved)
Expand (1 + 1/2x)5 upto the term on x³, use the expansion to estimate the value of (1.05)5 correct to 4 significant figures.
Date posted: November 7, 2019. Answers (1)
- Make P the subject of the formula.(Solved)
Make P the subject of the formula.
Date posted: November 7, 2019. Answers (1)
- Solve for y in the equation 2sin²y - 1 = Cos² y + sin y. For values of 0° = y = 360°.(Solved)
Solve for y in the equation 2sin²y - 1 = Cos² y + sin y. For values of 0° ≤ y ≤ 360°.
Date posted: November 7, 2019. Answers (1)