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- Solve for x and y in the simultaneous equations given below (Solved)
Solve for x and y in the simultaneous equations given below
21x-12y=-29
12x+5y=19
Date posted: September 4, 2019. Answers (1)
- In the figure below PS=PR PS=13 cm, RS=10 cm and angle QSR=30o. (Solved)
In the figure below PS=PR PS=13cm, RS=10cm and angle QSR=30o. Find the length of QS
![q6492019836.png](/questions/uploads/q6492019836.png)
Date posted: September 4, 2019. Answers (1)
- Factorise 90x2-40y2(Solved)
Factorise 90x2-40y2
Date posted: September 4, 2019. Answers (1)
- A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0.(Solved)
A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0. If 5x+7y-k=0 passes through the point (4,3). Determine the values of A and K
Date posted: September 4, 2019. Answers (1)
- The radius of a cone is given as 4.2cm while its height is given as 9.7cm.(Solved)
The radius of a cone is given as 4.2cm while its height is given as 9.7cm. Find the percentage error in
the estimation of the volume of the cone
Date posted: September 4, 2019. Answers (1)
- Evaluate using logarithm
(Solved)
Evaluate using logarithm
![q1492019812.png](/questions/uploads/q1492019812.png)
Date posted: September 4, 2019. Answers (1)
- Two circles of radii 3.5cm and 4.2cm with centres O1 and O1 respectively intersect at points A and B as shown in the figure below.(Solved)
Two circles of radii 3.5cm and 4.2cm with centres O1 and O2 respectively intersect at points A and B as shown in the figure below. The distance of the centres is 6cm.
![q233920191137.png](/questions/uploads/q233920191137.png)
Calculate
(a) angle AO1B to the nearest degree
(b) angle AO2B to the nearest degree
(c) Area of the quadrilateral O1AO2B, correct to 2 decimal places.
(d) The shaded area correct to two significant figures.(Take π =22/7)
Date posted: September 3, 2019. Answers (1)
- On a squared paper draw the graph of y=(1-2x)(x+4) for the range -6(Solved)
(a) On a squared paper draw the graph of y=(1-2x)(x+4) for the range -6
(b) On the same grid draw the line y=2-3x.
(c) Use your graphs to solve the equations
(i) (1-2x)(x+4)=-5
(ii) 2-4x-2x2=0
Date posted: September 3, 2019. Answers (1)
- The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone. (Solved)
The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone. The frustrum represents a bucket with the open-end diameter of 28cm and the bottom diameter of 21cm. The bucket is 20cm deep. Calculate to 1 decimal place, the capacity of the bucket in litres.
![q21a3920191109.png](/questions/uploads/q21a3920191109.png)
Date posted: September 3, 2019. Answers (1)
- The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere.(Solved)
(a)The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. The height h of the cone is twice the radius r. if the volume of the solid is 36cm3, find the radius of the hemisphere.
![q203920191103.png](/questions/uploads/q203920191103.png)
(b) The solid is totally immersed in water contained in a cylindrical tin of radius 9cm. through what height does the water level in the tin rise.
(c) The solid is melted and recast into a right pyramid of vertical height 4.2cm. Find the base area of the pyramid.
(d) If the solid is of mass 14.4g. Find its density in kg/m3.
Date posted: September 3, 2019. Answers (1)
- Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E.(Solved)
Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E. D is due west of E on a bearing of 340o from E. A is due North of E on a bearing of 045o from D. C is on a bearing of 250o from B and due North of E.
(a) Make a scale drawing showing the positions of the five towns.(Use a scale of 1cm to represent 1km)
(b) Use your drawing to determine;
(i) the bearing and distance of B from A.
(ii) the bearing and distance of C from D.
(iii) the distance between A and E.
Date posted: September 3, 2019. Answers (1)
- The sides of a rectangle are increased by 10%. By what percentage is the area increased(Solved)
The sides of a rectangle are increased by 10%. By what percentage is the area increased
Date posted: September 3, 2019. Answers (1)
- Rono left Kenya for Ethiopia with Ksh. 16, 742, which he changed at the airport to Ethiopian Birr
currency at the rate of Kshs.1=7.772 Birr.(Solved)
Rono left Kenya for Ethiopia with Ksh. 16, 742, which he changed at the airport to Ethiopian Birr
currency at the rate of Kshs.1=7.772 Birr. He spent 71,502.40 Birr and returned to Kenya with the balance that he changed back to Kenya shillings, at a new rate of Ksh. 1=8.211 Birr. How much, to the nearest cents, in Kenya shillings did Rono get?
Date posted: September 3, 2019. Answers (1)
- Solve the following equation for x without using tables or calculators.(Solved)
Solve the following equation for x without using tables or calculators.
![q143920191042.png](/questions/uploads/q143920191042.png)
Date posted: September 3, 2019. Answers (1)
- Each interior angle of n-sided polygon is 350o(Solved)
Each interior angle of n-sided polygon is 350o.
(a) Find n.
(b) What is the name of the polygon?
Date posted: September 3, 2019. Answers (1)
- A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk.(Solved)
A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. If he
sold the mixture at Ksh.18 per litre, what was the percentage profit.
Date posted: September 3, 2019. Answers (1)
- The figure below shows the graph of velocity Vm/s against time t seconds of a car. (Solved)
The figure below shows the graph of velocity Vm/s against time t seconds of a car. If the car traveled a
distance of 32 metres, in the first four seconds, calculate the average velocity for the whole journey.
![q103920191006.png](/questions/uploads/q103920191006.png)
Date posted: September 3, 2019. Answers (1)
- Find the integral values of x which satisfy the simultaneous inequalities.(Solved)
Find the integral values of x which satisfy the simultaneous inequalities.
3x-2<10+x <10+x
Date posted: September 3, 2019. Answers (1)
- A sector of a circle of radius 10cm has an arc that subtends an angle of 270o at the centre.(Solved)
A sector of a circle of radius 10cm has an arc that subtends an angle of 270o at the centre.
Calculate the vertical height of the cone formed by the sector.
Date posted: September 3, 2019. Answers (1)
- In the figure below MPN is a tangent to the circle at P. Find ?SPQ and ?NPQ, stating your reasons. (Solved)
In the figure below MPN is a tangent to the circle at P. Find angle SPQ and angle NPQ, stating your reasons. Angle SRQ=120o and angle PQR=62o
![q7392019949.png](/questions/uploads/q7392019949.png)
Date posted: September 3, 2019. Answers (1)