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Odhis car Hire company hires out as follows; sh. 2500 per day and sh. 270 per kilometer covered. They offer a discount of 30km free...
(Solved)
Odhis car Hire company hires out as follows; sh. 2500 per day and sh. 270 per kilometer covered. They offer a discount of 30km free each day of hire.Makori hires a car for 5 days and drives for 480km. Calculate the total cost.
Date posted:
August 14, 2019
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Answers (1)
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Find the value of x in the following figure given that area A =Area B=Area C(Give your answer to 2 decimal places)
(Solved)
Find the value of x in the following figure given that area A =Area B=Area C(Give your answer to 2 decimal places)
Date posted:
August 14, 2019
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Answers (1)
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The diagram below shows a circle with centre P(5,5) and radius 5 units.
(a) Write down in terms of x and y the equation of the...
(Solved)
The diagram below shows a circle with centre P(5,5) and radius 5 units
(a) Write down in terms of x and y the equation of the circle in the form ax2+by2+cx+dy+e=0 where a,b,c,d and e are constants.
(b) Determine the gradient of PQ
(c) Find the equation of the tangent at Q in the form ax+by=c.
Date posted:
August 14, 2019
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Answers (1)
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A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than...
(Solved)
A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than the original number by 9.Find the number.
Date posted:
August 14, 2019
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Answers (1)
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A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of...
(Solved)
A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of bus is 80km/h and moving parallel to the train, calculate the time it takes the truck to overtake the train completely in seconds.
Date posted:
August 14, 2019
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Answers (1)
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If X is a positive integer, find all possible values of x given that
(Solved)
If X is a positive integer, find all possible values of x given that
Date posted:
August 14, 2019
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Answers (1)
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From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of...
(Solved)
From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of the tower, the angle of elevation of the top of the tower is 260.Giving your answer to three decimal places, determine the height of the tower and hence calculate the distance between the points A and B if they are both on the same side of the tower and lie on a straight line with the base of the tower.
Date posted:
August 14, 2019
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Answers (1)
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Two boys and a girl shared some money .The elder boy got four-nineth of it, the younger boy got two-fifth of the reminder and the...
(Solved)
Two boys and a girl shared some money .The elder boy got four-nineth of it, the younger boy got two-fifth of the reminder and the girl got the rest. Find the percentage share of the younger boy to the girl’s share.
Date posted:
August 14, 2019
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Answers (1)
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Without using mathematical tables or calculators, evaluate the following leaving your answer as a fraction in its simplest form.
(Solved)
Without using mathematical tables or calculators, evaluate the following leaving your answer as a fraction in its simplest form.
Date posted:
August 14, 2019
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Answers (1)
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In the figure below P and Q are centres of two circles intersecting at A and B. The radii are 5cm and 8cm as shown in...
(Solved)
In the figure below P and Q are centres of two circles intersecting at A and B. The radii are 5cm and 8cm as shown in the diagram. Length of AB = 8cm.
Determine;
a) Length PQ
b) The size of angle APB
c) The area of the shaded region.
Date posted:
August 14, 2019
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Answers (1)
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The length of a room is 3m loner than its width. A carpet whose area is 18m2 is laid in the middle of the room...
(Solved)
The length of a room is 3m loner than its width. A carpet whose area is 18m2 is laid in the middle of the room leaving a margin of 0.5m wide between the carpet and the wall all round the room.
a) If the width of the room is x, write an expression for the dimensions of the carpet in terms of x.
b) Express the area of the carpet in terms of x
c) Determine the dimensions of the room.
d) Determine the space between the carpet and the wall is covered by a material which costs sh 245 per square metre. Find the cost of the material required.
Date posted:
August 14, 2019
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Answers (1)
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The interior angle of a regular polygon is 20o more than three times the exterior angle. Determine the number of sides of the polygon.
(Solved)
The interior angle of a regular polygon is 20o more than three times the exterior angle. Determine the number of sides of the polygon.
Date posted:
August 14, 2019
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Answers (1)
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Solve for x without using tables.
Sin (2x – 30o) – cos 4x = 0 for 0o = x = 90o.
(Solved)
Solve for x without using tables.
Sin (2x – 30o) – cos 4x = 0 for 0o ≤ x ≤ 90o.
Date posted:
August 14, 2019
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Answers (1)
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The longest side of a right angled triangle is (9x – 2)cm. The other two sides are 8x cm and (2x + 1)cm long. Find...
(Solved)
The longest side of a right angled triangle is (9x – 2)cm. The other two sides are 8x cm and (2x + 1)cm long. Find x and hence the lengths of the triangle.
Date posted:
August 14, 2019
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Answers (1)
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Two similar containers have base area of 750cm2 and 120cm2 respectively. Calculate the volume of the larger container in litres given that the volume of...
(Solved)
Two similar containers have base area of 750cm2 and 120cm2 respectively. Calculate the volume of the larger container in litres given that the volume of the smaller one is 400cm3.
Date posted:
August 14, 2019
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Answers (1)
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Solve for x in 3x – 3 x 15x = 15x
(Solved)
Solve for x in 3x – 3 x 15x = 15x
Date posted:
August 14, 2019
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Answers (1)
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The figure below represent a rectangle PQRS inscribed in a circle centre O and radius 17cm. PQ =16cm.
Calculate
(a) The length PS of the rectangle
(b)...
(Solved)
The figure below represent a rectangle PQRS inscribed in a circle centre O and radius 17cm. PQ =16cm.
Calculate
(a) The length PS of the rectangle
(b) The angle ROS
(c) The area of the shaded region
Date posted:
August 14, 2019
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Answers (1)
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A newly built classroom measuring 6m long 4.5m wide and 3.2 m high is to be cemented on the floor and all inside walls. The...
(Solved)
A newly built classroom measuring 6m long, 4.5m wide and 3.2 m high is to be cemented on the floor and all inside walls. The classroom has one door measuring 1.85m by 80cm by 80cm and four windows measuring 1.5m by 70cm each.Cementing materials cost 500 per square meter while labour costs 20% of the cost of cementing materials.Calculate:
(a) To one decimal place, the total surface are to be cemented
(b) The cost of cementing materials
(c) The total cost of cementing the classroom
Date posted:
August 14, 2019
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Answers (1)
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Solve for x in the equation below.
9(x-1) X 3(2x+1) = 243
(Solved)
Solve for x in the equation below.
9(x-1) X 3(2x+1) = 243
Date posted:
August 14, 2019
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Answers (1)
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Form the quadratic equation whose roots are x= -5/3 and x=1
(Solved)
Form the quadratic equation whose roots are x= -5/3 and x=1
Date posted:
August 14, 2019
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Answers (1)