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- Position vector of points A and B are a = i + 3j + 5k and b = ui – j + 2k respectively. Find...(Solved)
Position vector of points A and B are a = i + 3j + 5k and b = ui – j + 2k respectively. Find the position vector of point R
which divides AB in the ratio 4:-3
Date posted: May 8, 2019. Answers (1)
- A pond holds 27000 litres of water. How many litres of water would a similar pond hold if its dimensions were double
the first one?(Solved)
A pond holds 27000 litres of water. How many litres of water would a similar pond hold if its dimensions were double
the first one?
Date posted: May 8, 2019. Answers (1)
- Each month for 30 months, Lemit deposited some money in a saving scheme. In the first month he deposited Sh. 500.
Thereafter he increased his deposits...(Solved)
Each month for 30 months, Lemit deposited some money in a saving scheme. In the first month he deposited Sh. 500.
Thereafter he increased his deposits by Sh. 50 every month. Calculate the:
(a) last amount deposited by Lemit
(b) total amount Lemit had saved in the 30 months
Date posted: May 8, 2019. Answers (1)
- A steel ball has radius of 15.33mm. Calculate the percentage error in its surface area correct to 2 s.f.(Solved)
A steel ball has radius of 15.33mm. Calculate the percentage error in its surface area correct to 2 s.f.
Date posted: May 8, 2019. Answers (1)
- In the figure below, AB = 3cm, BE = 6cm and DE = 5cm. Find CD.(Solved)
In the figure below, AB = 3cm, BE = 6cm and DE = 5cm. Find CD.
Date posted: May 8, 2019. Answers (1)
- A boy whose eye level when standing is 1.6m stands infront of a storey building 30m tall. He observes the top of the
building at an...(Solved)
A boy whose eye level when standing is 1.6m stands infront of a storey building 30m tall. He observes the top of the
building at an angle of elevation of 42036’. Find the distance between the boy and the building leaving your answer
correct to 4 s.f.
Date posted: May 8, 2019. Answers (1)
- Simplify the expression below(Solved)
Simplify the expression
Date posted: May 8, 2019. Answers (1)
- Make c the subject formula;(Solved)
Make c the subject formula;
Date posted: May 8, 2019. Answers (1)
- Use logarithm to evaluate(Solved)
Use logarithm to evaluate
Date posted: May 8, 2019. Answers (1)
- Given that the curve y = x3– 3x2 find:(Solved)
Given that the curve y = x3– 3x2 find:
(a) The coordinate of the stationary points of the curve.
(b) Sketch the curve y = x3– 3x2
Date posted: May 8, 2019. Answers (1)
- AMREF Kenya decided to buy y bicycles for a total cost of 72,000 shillings. The seller agreed to offer a discount of 200
shillings per bicycle....(Solved)
AMREF Kenya decided to buy y bicycles for a total cost of 72,000 shillings. The seller agreed to offer a discount of 200
shillings per bicycle. AMFREF Kenya was able to buy 4 extra bicycles for the same amount of money.
(a) Write an expression in terms of y for the:
(i) original price of each bicycle.
(ii) price of each bicycle after the discount.
(b) Form an equation in y and hence determine the number of bicycles AMREF Kenya bought.
(c) Calculate the discount offered to AMREF Kenya as percentage.
Date posted: May 8, 2019. Answers (1)
- In a bicycle rally, cyclists are to follow routes VWXY. W is 250km from V on a bearing of N750E from V. X is on...(Solved)
In a bicycle rally, cyclists are to follow routes VWXY. W is 250km from V on a bearing of N750E from V. X is on a
bearing of S700E from V and 275km from W. Y is 300km on a bearing of N400E from X. Using a scale of 1cm to
represent 50km.
(a) Draw a diagram to show the relative positions of VWXY.
(b) Determine the distance in km
(i) VX
(ii) XY
(iii) WY
(c) (i) Determine the compass bearing of W from X
(ii) The compass bearing of Y from W
(iii) The compass bearing of X from Y
Date posted: May 8, 2019. Answers (1)
- Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h....(Solved)
Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h. She
rests for exactly one hour and then runs back to town A at 8km/h. Jane leaves town B at 11.45 a.m and rides straight to
town A, where reaches 5 minutes after Susan.
(a) At what time did Susan leave town B.
(b) At what time did Jane reach town A.
(c) How fast did Jane ride?.
(d) At what time did Susan overtake Jane?
Date posted: May 8, 2019. Answers (1)
- (a) Draw the curve y = x2, for 0 < x < 3.
Take 2cm to represent 1 unit x-axis and 1cm to represent 1 unit...(Solved)
(a) Draw the curve y = x2, for 0 < x < 3.
Take 2cm to represent 1 unit x-axis and 1cm to represent 1 unit on the y-axis.
(b) Use the graph to estimate the area bounded by the curve y = x2, the x-axis and the lines x = 0 and x = 3 using
trapezia. (correct 3 d.p)
Date posted: May 8, 2019. Answers (1)
- In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.(Solved)
In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.
(a) In terms of a and b the vectors.
(i) AB
(ii) AP
(iii) BP
(iv) OP
Date posted: May 8, 2019. Answers (1)
- The following are masses of 25 people taken in a clinic.(Solved)
The following are masses of 25 people taken in a clinic.
(a) Using a class width of 8 and starting with the lowest mass of the people. Make a frequency distribution table for the data.
(b) Calculate the median mass of the people.
(c) On the grid provided, draw a histogram to represent the information.
Date posted: May 8, 2019. Answers (1)
- The figure below a frustum of a solid cone of base radius 48cm and top radius 16cm. The height of the frustum is
21cm. (Take ??...(Solved)
The figure below a frustum of a solid cone of base radius 48cm and top radius 16cm. The height of the frustum is
21cm. (Take 𝜋 =22/7) calculate:
(a) The height of the solid cone.
(b) The volume of the solid frustum.
(c) The total surface area of the frustum.
Date posted: May 8, 2019. Answers (1)
- Determine the values of m for which the matrix below has no inverse(Solved)
Determine the values of m for which the matrix below has no inverse
Date posted: May 7, 2019. Answers (1)
- (a) Solve the following inequalities and hence illustrate your solution on a number line.
x – 12 = 4x – 15 < 13
(Solved)
(a) Solve the following inequalities and hence illustrate your solution on a number line.
x – 12 ≤ 4x – 15 < 13
(b) List the integral values that satisfy the combined inequality above.
Date posted: May 7, 2019. Answers (1)
- A regular polygon with 3x sides has interior angle 400 greater than the one with x sides. What is x?(Solved)
A regular polygon with 3x sides has interior angle 400 greater than the one with x sides. What is x?
Date posted: May 7, 2019. Answers (1)