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- The figure below shows two sectors in which AB and CD are arcs of concentric circles centre O.
Angle AOB = 2/5 radians and AD =...(Solved)
The figure below shows two sectors in which AB and CD are arcs of concentric circles centre O.
Angle AOB = 2/5 radians and AD = BC = 5 cm.
Given that the perimeter of the shape ABCD is 24 cm, calculate the length of OA.
Date posted: November 13, 2019. Answers (1)
- A solid consists of a cone and a hemisphere. The common diameter of the cone and the hemisphere is 12 cm and the slanting height...(Solved)
A solid consists of a cone and a hemisphere. The common diameter of the cone and the hemisphere is 12 cm and the slanting height of the cone is 10 cm. Calculate correct to two decimal places, the surface area of the solid.
Date posted: November 13, 2019. Answers (1)
- Solve for y given that y is acute and sin (3y – 500) – cos (2y + 100) = 0(Solved)
Solve for y given that y is acute and sin (3y – 500) – cos (2y + 100) = 0
Date posted: November 13, 2019. Answers (1)
- Factorise Completely:-
x4 – 2x2y2 + y4(Solved)
Factorise Completely:-
x4 – 2x2y2 + y4
Date posted: November 13, 2019. Answers (1)
- Janice, a fruit vendor obtained a total of Kshs. 6144 from her sales of oranges on Saturday at Kshs. 8.00 each. She had bought 560...(Solved)
Janice, a fruit vendor obtained a total of Kshs. 6144 from her sales of oranges on Saturday at Kshs. 8.00 each. She had bought 560 more oranges to add to what had remained on Friday where she had sold 240 more oranges than on Thursday. She had sold 750 oranges on Thursday. Calculate the total number of oranges Janice had bought on Thursday.
Date posted: November 13, 2019. Answers (1)
- Using a ruler and a pair of compasses only, construct a rhombus PQRS such that PQ = 6 cm and angle PQR = 1350 hence...(Solved)
Using a ruler and a pair of compasses only, construct a rhombus PQRS such that PQ = 6 cm and angle PQR = 1350 hence measure the shortest diagonal.
Date posted: November 13, 2019. Answers (1)
- Complete the diagram below so as to make a net for a cuboid. Hence find the surface area of the cuboid.(Solved)
Complete the diagram below so as to make a net for a cuboid. Hence find the surface area of the cuboid.
Date posted: November 13, 2019. Answers (1)
- Simplify:-(Solved)
Simplify:-
Date posted: November 13, 2019. Answers (1)
- In the diagram below, the position vector of points A and B with respect to point O are respectively.
Given that B is a point...(Solved)
In the diagram below, the position vector of points A and B with respect to point O are respectively.
Given that B is a point on AC such that AB = ½ BC. Use vector method to determine the coordinates of C.
Date posted: November 13, 2019. Answers (1)
- Wanyama on arrival in Kenya to play for Harambee Stars against Uganda Cranes converted 6000 Euros into Kenyan Shillings. During his stay in Kenya he...(Solved)
Wanyama on arrival in Kenya to play for Harambee Stars against Uganda Cranes converted 6000 Euros into Kenyan Shillings. During his stay in Kenya he spent Kshs. 260,000 and converted the remaining amount into US Dollars before travelling back to England. Using the exchange rates below, find how many US Dollars he got?
Currency Buying Selling
(Kshs.) (Kshs.)
1 US Dollar 96.20 96.90
1 Euro 112.32 112.83
Date posted: November 13, 2019. Answers (1)
- The sum of four consecutive odd integers is greater than 24. Determine the first four such integers.(Solved)
The sum of four consecutive odd integers is greater than 24. Determine the first four such integers.
Date posted: November 13, 2019. Answers (1)
- Wafula uses 1/6 of his land for planting maize, 1/12 for beans and 4/9 of the remainder for grazing.
He still has 10 hectares of unused...(Solved)
Wafula uses 1/6 of his land for planting maize, 1/12 for beans and 4/9 of the remainder for grazing.
He still has 10 hectares of unused land. Find the size of Wafula’s land.
Date posted: November 13, 2019. Answers (1)
- Without using a calculator evaluate:-(Solved)
Without using a calculator evaluate:-
Date posted: November 13, 2019. Answers (1)
- A Japanese tourist visiting Kenya changed 1,305,000 Yen into Kenya shillings. While in Kenya he spent Ksh. 460,000 and converted the rest to sterling pounds...(Solved)
A Japanese tourist visiting Kenya changed 1,305,000 Yen into Kenya shillings. While in Kenya he spent Ksh. 460,000 and converted the rest to sterling pounds as he headed back to the U.K. Calculate the amount he got to the nearest pound if the bank buys and sells currency as shown below.
Buying (Ksh) Selling (Ksh)
100 Yen 65 66
1 sterling pound 126 127
Date posted: November 13, 2019. Answers (1)
- The table below shows distribution of masses of 65 goats to the nearest kilogram sold in a certain market.
Find the median mass.(Solved)
The table below shows distribution of masses of 65 goats to the nearest kilogram sold in a certain market.
Find the median mass.
Date posted: November 13, 2019. Answers (1)
- Solve for x and hence list the integral values of x.
x = 2x + 7 < 14 - 1/3x(Solved)
Solve for x and hence list the integral values of x.
x ≤ 2x + 7 < 14 - 1/3x
Date posted: November 13, 2019. Answers (1)
- A solid is made up of a hemisphere mounted on a cone. The radius of the cone and the radius of the hemisphere are each...(Solved)
A solid is made up of a hemisphere mounted on a cone. The radius of the cone and the radius of the hemisphere are each 7cm and the vertical height of the cone is 13cm. Calculate the total surface area of the solid correct to two decimal places.
Date posted: November 13, 2019. Answers (1)
- Find the value of x in the equation
36x+1 + 62x = 222(Solved)
Find the value of x in the equation
36x+1 + 62x = 222
Date posted: November 13, 2019. Answers (1)
- The first three terms of a sequence are given a 10, 14 and 18. Find the sum of the first 18 terms of the sequence.(Solved)
The first three terms of a sequence are given a 10, 14 and 18. Find the sum of the first 18 terms of the sequence.
Date posted: November 13, 2019. Answers (1)
- Without using a calculator evaluate.(Solved)
Without using a calculator evaluate.
Date posted: November 13, 2019. Answers (1)