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A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the...

A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the actual area in hectares of the land.

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sharon kalunda answered the question on August 29, 2019 at 12:09

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The initial salary of Mr. Lutta is sh. 42,000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years.... (Solved)

The initial salary of Mr. Lutta is sh. 42,000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands.

Date posted: August 29, 2019 . Answers (1)
Solve the equation below. 7^2x – 8 x 7^x + 7 = 0 (Solved)

Solve the equation below.
7^2x – 8 x 7^x + 7 = 0

Date posted: August 29, 2019 . Answers (1)
Use logarithms correct to 4 decimal places to evaluate. (Solved)

Use logarithms correct to 4 decimal places to evaluate.

Date posted: August 29, 2019 . Answers (1)
The roof of a classroom is in the shape of a triangle prism as shown below. Calculate; (a) The angle between faces RSTU and PQRS (b) The... (Solved)

The roof of a classroom is in the shape of a triangle prism as shown below.

Calculate;
(a) The angle between faces RSTU and PQRS
(b) The space occupied by the roof
(c) The angle between plane QTR and PQRS

Date posted: August 29, 2019 . Answers (1)
A transporter wishes to transfer 1000 bags of sugar to a go down. He has two types of lorries to use. FTR with a capacity... (Solved)

A transporter wishes to transfer 1000 bags of sugar to a go down. He has two types of lorries to use. FTR with a capacity of 80 bags and a canter with the capacity of 20 bags. The canter has to make at most twice as many trips as the FTR makes. The total number of trips made by both lorries must be less than 30, and the canter has to make more than 10 trips.
(a) Write down all the possible inequalities to represent this information (take trips made by FTR be x and trips made by canter be y)
(b) Represent the information above on the grid provided
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Date posted: August 29, 2019 . Answers (1)
The velocity of a particle t seconds after passing a fixed point is given by v = 2t² – 13t + k where k is... (Solved)

The velocity of a particle t seconds after passing a fixed point is given by v = 2t² – 13t + k where k is a constant. The particle has a maximum displacement of 13m from the fixed point when t = ½ seconds.
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(c) Calculate the distance moved by the particle during the fourth second

Date posted: August 29, 2019 . Answers (1)
Mr. Karambu is a civil servant in a ministry. He earns a monthly salary of sh.N and allowance of sh.1271.all taxable. He is entitled to... (Solved)

Mr. Karambu is a civil servant in a ministry. He earns a monthly salary of sh.N and allowance of sh.1271.all taxable. He is entitled to a monthly relief of sh.1056. The table below shows the rates of taxation.

When his salary was increased by 50% the net tax increased by 66.25 % to sh.9036 per month.
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Date posted: August 29, 2019 . Answers (1)
Obtain the expansion of (1 + 3x)⁶ up to the term with x⁴, hence estimate (1.03)⁶ correct to 4 decimal places. (Solved)

Obtain the expansion of (1 + 3x)⁶ up to the term with x⁴, hence estimate (1.03)⁶ correct to 4 decimal places.

Date posted: August 29, 2019 . Answers (1)
Two straight lines x + 2y = -1 and 2x + 3y = 3 intersects at a point R. Find the equation of the circle,... (Solved)

Two straight lines x + 2y = -1 and 2x + 3y = 3 intersects at a point R. Find the equation of the circle, centre R, radius 5 units, giving your answer in the form x² + y² + g x + fy + c = 0

Date posted: August 29, 2019 . Answers (1)
A school’s environmental club consists of 7 boys and 5 girls. Three members are to be randomly chosen to be officials of the club. Use... (Solved)

A school’s environmental club consists of 7 boys and 5 girls. Three members are to be randomly chosen to be officials of the club. Use a tree diagram to find the probability that:
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Date posted: August 29, 2019 . Answers (1)
Express S in terms of a, q and P given that (Solved)

Express S in terms of a, q and P given that

Date posted: August 29, 2019 . Answers (1)
Use mathematical tables to evaluate (Solved)

Use mathematical tables to evaluate

Date posted: August 29, 2019 . Answers (1)
Mr. Olik a drapper in Muhoroni town is required to supply two types of shirts, type A and type B to Muhoroni Secondary School. The... (Solved)

Mr. Olik a drapper in Muhoroni town is required to supply two types of shirts, type A and type B to Muhoroni Secondary School. The total number of shirts must not be more than 400. He has to supply more of type A than type B shirts. However the number of type A shirts must not be more than 300 and the number of type B shirts must not be less than 80 let x be number of type A shirts and y be the number of type B shirts.
(a) Write down in terms of x and y all the linear inequalities representing the information above.
(b) On the grid provided, draw the inequalities and shade the unwanted regions.
(c) Mr. Olik made profit of kshs. 600 per shirt of type A and shs. 400 per shirt of type B.
(i) Use the graph to determine the number of shirts of each type that should be made to maximize the profit.
(ii) Calculate the maximum possible profit.

Date posted: August 29, 2019 . Answers (1)
The diagram below represents a Cuboid ABCDEFGH in which FG =4.5cm, GH =8cm HC=6cm(a) Calculate the length FC(b) (i) The size of the angle between... (Solved)

The diagram below represents a Cuboid ABCDEFGH in which FG =4.5cm, GH =8cm HC=6cm

(a) Calculate the length FC
(b) (i) The size of the angle between the lines FC and FH
(ii) Size of the angle between the line AB and FH.
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(d) The total surface area of the cuboid (closed)

Date posted: August 29, 2019 . Answers (1)
Water is flowing through a cylindrical pipe at the speed of 1.2m/s. If the pipe has an internal radius of 1.4cm, Calculate (a) The volume of... (Solved)

Water is flowing through a cylindrical pipe at the speed of 1.2m/s. If the pipe has an internal radius of 1.4cm, Calculate
(a) The volume of water delivered by the pipe per second in cm3 (Take pi = 22/7)
(b) The depth to which the pipe fills a rectangular tank of base dimensions 1.5m x 2m in one hour to the nearest 0.1cm.
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Date posted: August 29, 2019 . Answers (1)
The figure below shows a direct –belt drive system consisting of two pulleys of radii 40cm and 25cm. The centres of the pulleys x and... (Solved)

The figure below shows a direct –belt drive system consisting of two pulleys of radii 40cm and 25cm. The centres of the pulleys x and y are 86cm apart. Calculate the total length of the belt to4 s.f.

Date posted: August 29, 2019 . Answers (1)
In the figure below RY is the diameter with O as the centre. If angle PRZ = 108^o (Solved)

In the figure below RY is the diameter with O as the centre. If angle PRZ = 108^o, angle RPZ = 24^o, angle PQZ = 8^o and PQ is a tangent to the circle. ZNQ is a straight line.

Calculate the following angles;
a) angle XRP
b) angle RPX
c) angle PXY
d) angle YZN
e) angle ZYN

Date posted: August 29, 2019 . Answers (1)
Draw a line AB 6cm. P is a variable point in the plane of the paper above AB such that angle APB =60⁰ and... (Solved)

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Date posted: August 29, 2019 . Answers (1)
The bearing of towns P and Q on a horizontal ground from a tower are 050^o and 142^o respectively. (Solved)

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c) The distance between the two towns P and Q.

Date posted: August 29, 2019 . Answers (1)
Two planes P and Q are at (36⁰N 125⁰W) and (36⁰N 55⁰E) respectively. Calculate the distance in nautical mile between P and Q measured along... (Solved)

Two planes P and Q are at (36⁰N 125⁰W) and (36⁰N 55⁰E) respectively. Calculate the distance in nautical mile between P and Q measured along the circle through the North Pole.

Date posted: August 29, 2019 . Answers (1)