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- The diagram below represents a conical vessel which stands vertically. The vessels contains water to a depth of 30cm. The radius of...(Solved)
The diagram below represents a conical vessel which stands vertically. The vessels contains water to a depth of 30cm. The radius of the surface in the vessel is 21cm. (Take ?? = 22/7)
a) Calculate the volume of the water in the vessels in cm3
b) When a metal sphere is completely submerged in the water, the level of the water in the vessels rises by 6cm.
Calculate:
i) The radius of the new water surface in the vessel;
ii) The volume of the metal sphere in cm3
ii) The radius of the sphere
Date posted: November 14, 2019. Answers (1)
- (a) Draw the graph of y = 2 + 3x - x2 in the range of - 3 = x = 6 on the grid...(Solved)
(a) Draw the graph of y = 2 + 3x − x2 in the range of − 3 ≤ x ≤ 6 on the grid provided.
b) From your graph:-
(i) Find the value of x if x2 − 4x = 0
(ii) Determine the value of x for which y is the greatest.
(iii) Determine the range of values of x for which y is positive.
Date posted: November 14, 2019. Answers (1)
- Draw a triangle ABC such that angle BAC = 90°, AC =5 cm and BC = 10 cm.
i. Circumscribe a circle on the triangle...(Solved)
Draw a triangle ABC such that angle BAC = 90°, AC =5 cm and BC = 10 cm.
i. Circumscribe a circle on the triangle
ii. Measure the radius of the circle.
iii. Find the difference in the area of the circumcircle and the triangle.
Date posted: November 14, 2019. Answers (1)
- The diagram below represents the cross- section of a solid prism of length 3m.
Calculate the volume of the prism in cm3.(Solved)
The diagram below represents the cross- section of a solid prism of length 3m.
Calculate the volume of the prism in cm3.
Date posted: November 14, 2019. Answers (1)
- Simplify the expression given by(Solved)
Simplify the expression given by 
Date posted: November 14, 2019. Answers (1)
- Use square, square root and reciprocal tables only to evaluate the following giving your answer to 2 decimal places.(Solved)
Use square, square root and reciprocal tables only to evaluate the following giving your answer to 2 decimal places.
Date posted: November 14, 2019. Answers (1)
- Given that sin theta = 3/5 and 900 = < = 1800 , find without using trigonometric tables, the value of 2 tan theta + 3 cos theta.(Solved)
Given that sin theta = 3/5 and 900 = < = 1800 , find without using trigonometric tables, the value of
2 tan theta + 3 cos theta.
Date posted: November 14, 2019. Answers (1)
- Form three inequalities that satisfy the unshaded region R.(Solved)
Form three inequalities that satisfy the unshaded region R.
Date posted: November 14, 2019. Answers (1)
- The mass of a liquid in a measuring cylinder of radius 0.7cm is 140g when filled to a height of 12cm.
Calculate the density of the...(Solved)
The mass of a liquid in a measuring cylinder of radius 0.7cm is 140g when filled to a height of 12cm.
Calculate the density of the liquid in kg/m3. (Take 𝜋 = 22/7)
Date posted: November 14, 2019. Answers (1)
- If the arc formed by two points on the circumference of circle of radius 2m subtends an angle of 37° at the center, find the...(Solved)
If the arc formed by two points on the circumference of circle of radius 2m subtends an angle of 37° at the center, find the arc length of the remaining part correct to two decimal places. (Take π =3.142)
Date posted: November 14, 2019. Answers (1)
- It is given that Determine [2p- 2q] correct to 2 d.p.(Solved)
It is given that 
Determine [2p− 2q] correct to 2 d.p.
Date posted: November 14, 2019. Answers (1)
- The cross sectional areas of two similar triangular prisms are 100cm2 and 256cm2. If the bigger prism has a volume of 3200cm3, calculate the volume...(Solved)
The cross sectional areas of two similar triangular prisms are 100cm2 and 256cm2. If the bigger prism has a volume of 3200cm3, calculate the volume of the smaller prism.
Date posted: November 14, 2019. Answers (1)
- Find an estimate of the area enclosed by the curve y = x3 – 5, the x – axis and the lines x = 3 x = 4 and x = 6 using the trapezium rule with 3 strips.(Solved)
Find an estimate of the area enclosed by the curve y = x3 – 5, the x – axis and the lines x = 3 x = 4 and x = 6 using the trapezium rule with 3 strips.
Date posted: November 14, 2019. Answers (1)
- Find the equation of the normal to the curve 2x2 - 8y = 0 at the point (12,18).(Solved)
Find the equation of the normal to the curve 2x2 - 8y = 0 at the point (12,18).
Date posted: November 14, 2019. Answers (1)
- A salesman is paid a commission of 10% on all sales worth K£ 10,000 and below and a commission of 15% on sales above K£...(Solved)
A salesman is paid a commission of 10% on all sales worth K£ 10,000 and below and a commission of 15% on sales above K£ 10,000. In one month she got Ksh 50,000 as commission, calculate the total worth of goods in Ksh sold in that month.
Date posted: November 14, 2019. Answers (1)
- Solve the equation 643x-1 ÷ 16x+2 = 256x × 42x.(Solved)
Solve the equation 643x-1 ÷ 16x+2 = 256x × 42x.
Date posted: November 14, 2019. Answers (1)
- Three teachers James, John and Aggrey agreed contribute money to buy a plot. James contributed 1/5 of the total money, John contributed 2/5 of 3/5...(Solved)
Three teachers James, John and Aggrey agreed contribute money to buy a plot. James contributed 1/5 of the total money, John contributed 2/5 of 3/5 of the total money. Aggrey contributed 1/4 of what James had contributed. If the total sum contributed by Aggrey and John was Ksh.87, 000. Find the amount needed to buy the plot.
Date posted: November 14, 2019. Answers (1)
- Makau,Wanjiru and Kemboi start a race at 9.03 a.m in the same direction to run round a circular Course. Makau makes the circuit in 252...(Solved)
Makau,Wanjiru and Kemboi start a race at 9.03 a.m in the same direction to run round a circular Course. Makau makes the circuit in 252 seconds, Wanjiru in 308 seconds and Kemboi in 198 seconds. If they start from the same point, at what time will they next be all at the starting point together?
Date posted: November 14, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: November 14, 2019. Answers (1)
- The figure below is a cuboid ABCDEFGH such that AB = 8cm, BC = 6cm and CF 5cm.
Determine
(a) the length
(i) AC
(ii) AF
(b)...(Solved)
The figure below is a cuboid ABCDEFGH such that AB = 8cm, BC = 6cm and CF 5cm.
Determine
(a) the length
(i) AC
(ii) AF
(b) The angle AF makes with the plane ABCD.
(c) The angle AEFB makes with the base ABCD.
Date posted: November 14, 2019. Answers (1)