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- Deduce the value of tan 54° from this result(Solved)
From a mathematical experiment it was found out that
Deduce the value of tan 54° from this result leaving your answer in the form 
where a, b and c are integers.
Date posted: August 13, 2019. Answers (1)
- A committee of three is to be selected from 5 men and 3 women. If the committee is selected at random, find the probability of...(Solved)
A committee of three is to be selected from 5 men and 3 women. If the committee is selected at random, find the probability of arriving of two men and one woman in the committee.
Date posted: August 13, 2019. Answers (1)
- Find the distance in nautical miles between two places on the northern hemisphere with positions N (60°N, 18°E) and M (60°N, 102°W) along the parallel...(Solved)
Find the distance in nautical miles between two places on the northern hemisphere with positions N (60°N, 18°E) and M (60°N, 102°W) along the parallel of latitude.
Date posted: August 13, 2019. Answers (1)
- Graham’s money-box contains only sh. 5 coins and sh. 10 coins. There are 24 coins and their total value is sh. 150. Find how many...(Solved)
Graham’s money-box contains only sh. 5 coins and sh. 10 coins. There are 24 coins and their total value is sh. 150. Find how many of each kind of coins there are in the box.
Date posted: August 13, 2019. Answers (1)
- The fourth term in (a + x)3 is equal to the third term in (1- 2x)5 for the same values of x when expanded in...(Solved)
The fourth term in (a + x)3 is equal to the third term in (1- 2x)5 for the same values of x when expanded in increasing powers of x . Find the value of x .
Date posted: August 13, 2019. Answers (1)
- In the formula V = pr2h, r is increased by 12% and h decreased by 15%.(Solved)
In the formula V = πr2h, r is increased by 12% and h decreased by 15%. Find the percentage
change in the value of V.
Date posted: August 13, 2019. Answers (1)
- If the area of triangle ABC is 770 cm2, find the area of triangle XYZ. (Solved)
Triangle ABC is the image of triangle XYZ when transformed under the matrix
If the area of triangle ABC is 770 cm2, find the area of triangle XYZ.
Date posted: August 13, 2019. Answers (1)
- Calculate the area of the segment cut off from a circle of radius 10cm by a chord which subtends an angle of 2.1c at the...(Solved)
Calculate the area of the segment cut off from a circle of radius 10cm by a chord which subtends an angle of 2.1c at the centre.
Date posted: August 13, 2019. Answers (1)
- Coordinates of points A and B are (2, -3) and (6, 5) respectively.(Solved)
Coordinates of points A and B are (2, -3) and (6, 5) respectively. Given that N is a point on AB such that the ratio AN:NB = 1:3, find the coordinates of point N.
Date posted: August 13, 2019. Answers (1)
- In the figure below, if ACB= 50°, AFB= 35° and FC is parallel to AD.(Solved)
In the figure below, if ACB= 50°, AFB= 35° and FC is parallel to AD.
Calculate:
(i) ABF
(ii) AEB
Date posted: August 13, 2019. Answers (1)
- A father was three time as old as his son fifteen years ago and four times as old as his son nineteen years ago. When...(Solved)
A father was three time as old as his son fifteen years ago and four times as old as his son nineteen years ago. When was the father twice as old as the Son?
Date posted: August 13, 2019. Answers (1)
- Find the equation of the normal to the curve y = 3x2 – 9x at the point (2, - 6).(Solved)
Find the equation of the normal to the curve y = 3x2 – 9x at the point (2, - 6). Express your answer in the form y = mx + c
Date posted: August 13, 2019. Answers (1)
- Make t the subject of the formula.(Solved)
Make t the subject of the formula.
Date posted: August 13, 2019. Answers (1)
- Construct a line PQ 7.5cm. Using a line inclined 30° at point P to line PQ, locate pointR which divides line PQ in the ratio...(Solved)
Construct a line PQ 7.5cm. Using a line inclined 30° at point P to line PQ, locate point R which divides line PQ in the ratio 2:3.
Date posted: August 13, 2019. Answers (1)
- Three businessmen Njoroge, Mwaura and Kimani contributed a total of sh. 82, 250 to start a business.(Solved)
Three businessmen Njoroge, Mwaura and Kimani contributed a total of sh. 82, 250 to start a business. The ratio of the contribution of Njoroge to Mwaura was 2:3 and that of Mwaura to Kimani was 4:5. How much did Kimani contribute?
Date posted: August 13, 2019. Answers (1)
- Solve for x and y (Solved)
Solve for x and y in 
Date posted: August 13, 2019. Answers (1)
- Without using tables or calculators evaluate.(Solved)
Without using tables or calculators evaluate.
Date posted: August 13, 2019. Answers (1)
- A two digit number is such that the difference between the ones digit and the tens digit is 2.If the two digits are interchanged, the...(Solved)
A two digit number is such that the difference between the ones digit and the tens digit is 2. If the two digits are interchanged, the sum of the new and the original number is 132. Find the original number.
Date posted: August 13, 2019. Answers (1)
- In the figure below, AC is an arc of a circle centre B, angle ABD = 600, AB =BC=7cm and CD=5cm. If AE is parallel...(Solved)
In the figure below, AC is an arc of a circle centre B, angle ABD = 600, AB =BC=7cm and CD=5cm. If AE is parallel to BD and AB is parallel to ED. Calculate the area of the shaded region.
Date posted: August 13, 2019. Answers (1)
- The table below shows the height of tree in Manga forest in metres(Solved)
The table below shows the height of tree in Manga forest in metres
Using an assumed meanof 34.5, calculate:-
(a) The mean
(b) The median
(c) The standard deviation
Date posted: August 13, 2019. Answers (1)