-
Solve for y in the equation 8(2y – 1) x 32y = 16(y + 1).
(Solved)
Solve for y in the equation
8(2y – 1) x 32y = 16(y + 1).
Date posted:
April 29, 2019
.
Answers (1)
-
A tourist arrived in Kenya with US Dollars 3000 which he exchanged into Kenya shillings. He spent Ksh. 75000 on hotel accommodation and Ksh.42500 on...
(Solved)
A tourist arrived in Kenya with US Dollars 3000 which he exchanged into Kenya shillings. He spent Ksh. 75000 on hotel accommodation and Ksh.42500 on travel and other expenses. He changed the remaining money into sterling pounds. Calculate how much money in sterling pounds that he remained with using the following rates. (Leave your answer to the nearest 1£)
Date posted:
April 29, 2019
.
Answers (1)
-
Points S(-2,2) and T(-3,7) are mapped onto S1(4,-10) and T1(0,10) by an enlargement . Calculate the enlargement scale factor.
(Solved)
Points S(-2,2) and T(-3,7) are mapped onto S1(4,-10) and T1(0,10) by an enlargement . Calculate the enlargement scale factor.
Date posted:
April 29, 2019
.
Answers (1)
-
The figure below represent a right pyramid with vertex V and a rectangular base PQRS.VP = VQ = VR = VS = 18cm and QR...
(Solved)
The figure below represent a right pyramid with vertex V and a rectangular base PQRS.VP = VQ = VR = VS = 18cm and QR = 12cm, M and O are midpoints of QR and PR respectively.
Find:
(a) the length of the projection of VP on the plane PQRS.
(b) size of angle between VP and plane PQRS.
(c) size of angle between plane VQR and PQRS.
Date posted:
April 29, 2019
.
Answers (1)
-
(a) Without using a set square or a protractor, construct triangle ABC such that AB = AC = 5.4cm and angle ABC = 30º.
(Solved)
(a) Without using a set square or a protractor, construct triangle ABC such that AB = AC = 5.4cm and angle ABC = 30º.
(b) Measure BC.
(c) A point P is always on the same side of BC as A. Draw the locus of P such that angle BAC is always twice angle BPC.
(d) Calculate the area of triangle ABC.
(e) Draw a perpendicular from A to meet BC at D. Measure AD.
Date posted:
April 29, 2019
.
Answers (1)
-
In the figure below A and B are centres of the circle intersecting at point P and Q, angle PBQ = 97.2º while PAQ =...
(Solved)
In the figure below A and B are centres of the circle intersecting at point P and Q, angle PBQ = 97.2º while PAQ = 52º,
PB = 4cm while AP = 10cm.
Determine:-
(a) the length AB.
(b) the area of sector APQ.
(c) the area of the quadrilateral, APBQ.
(d) area of the shaded region.
Date posted:
April 29, 2019
.
Answers (1)
-
In the diagram below angle EDG = 36º,angle ABG = 42º line EDC and ABC are tangents to the circle at D and B respectively.
(Solved)
In the diagram below angle EDG = 36º,angle ABG = 42º line EDC and ABC are tangents to the circle at D and B respectively.
Calculate by giving reason.
(a) Angle DGB.
(b) Obtuse Angle DOB.
(c) Angle GDB.
(d) Angle DCB.
(e) Angle DFB.
Date posted:
April 29, 2019
.
Answers (1)
-
(a) Complete the table below for the function y = Sin 2x and y = 3 Cos x for -180º = x = 180º.
(Solved)
(a) Complete the table below for the function y = Sin 2x and y = 3 Cos x for -180º ≤ x ≤ 180º.
(b) On the same axes, draw the graph of y = Sin 2x and y = 3 Cos x -180º ≤ x ≤ 180º.
(c) Use the graph in (b) above to find:
(i) the value of x such that 3 Cos x - Sin 2x = 0.
(ii) the difference in value of y when x = 45º.
(iii) Range of values of x such that 3 Cos x > 1.5.
Date posted:
April 29, 2019
.
Answers (1)
-
The table below shows the rates at which income tax is charged on annual income.
(Solved)
The table below shows the rates at which income tax is charged on annual income.
A company employee earns a gross monthly salary of Ksh.18600. He is housed by the company and as a result, his
taxable income is increased by 15%. If the employee is married and claims a monthly family relief of Shs.250,
calculate
(a) his taxable income.
(b) his net salary per month.
Date posted:
April 29, 2019
.
Answers (1)
-
The 16th term of an A.P. is seven times the 8th term. The sum of the first ten terms is -35. Find the first term...
(Solved)
The 16th term of an A.P. is seven times the 8th term. The sum of the first ten terms is -35. Find the first term and the common difference.
Date posted:
April 29, 2019
.
Answers (1)
-
Pipe A can fill an empty water tank in 3hrs while Pipe B can fill the same tank in 6hrs. When the tank is full...
(Solved)
Pipe A can fill an empty water tank in 3hrs while Pipe B can fill the same tank in 6hrs. When the tank is full it can be
emptied by Pipe C in 8hrs. Pipe A and B are opened at the same time when the tank is empty. If one hour later Pipe C
is also opened, find the total time taken to fill the tank.
Date posted:
April 29, 2019
.
Answers (1)
-
Two variables are such that A is partly constant and partly varies as the square root of B. Given that A = 27 when B=1/4...
(Solved)
Two variables are such that A is partly constant and partly varies as the square root of B. Given that A = 27 when B=1/4 and A = 18; when B = 25, find A when B =12.25.
Date posted:
April 29, 2019
.
Answers (1)
-
If 4x² + 32x - 20 + K is a perfect square find value of K.
(Solved)
If 4x² + 32x - 20 + K is a perfect square find value of K.
Date posted:
April 29, 2019
.
Answers (1)
-
John deposits Shs.24000 in a fixed account. After 4 years the money accumulated to Kshs.45,000. If the bank paid
compound interest of r% p.a compounded semi...
(Solved)
John deposits Shs.24000 in a fixed account. After 4 years the money accumulated to Kshs.45,000. If the bank paid
compound interest of r% p.a compounded semi annually find r.
Date posted:
April 29, 2019
.
Answers (1)
-
A shopkeeper mixes rice worth Kshs.47 and Kshs.55 per kg, how many kilograms of each should be used to obtain 24kg of the mixture worth...
(Solved)
A shopkeeper mixes rice worth Kshs.47 and Kshs.55 per kg, how many kilograms of each should be used to obtain 24kg of the mixture worth Kshs.52 per kg.
Date posted:
April 29, 2019
.
Answers (1)
-
A train moving at an average speed of 72km/hr takes 15 seconds to complete cross a bridge that is 80m long.
(i) Express 72km/hr in metres...
(Solved)
A train moving at an average speed of 72km/hr takes 15 seconds to complete cross a bridge that is 80m long.
(i) Express 72km/hr in metres per second.
(ii) Find the length of the train.
Date posted:
April 29, 2019
.
Answers (1)
-
The table below shows marks obtained by 100 candidates at Eastside High School in a Biology examination.
(Solved)
The table below shows marks obtained by 100 candidates at Eastside High School in a Biology examination.
(a) Determine the value of x.
(b) State the modal frequency.
(c) Calculate the median mark.
(d) Calculate the mean mark.
Date posted:
April 29, 2019
.
Answers (1)
-
A sector of a circle of radius 40cm subtends an angle of 26º at the centre of the circle.(Take pi =22/7).
(Solved)
A sector of a circle of radius 40cm subtends an angle of 26º at the centre of the circle.(Take pi =22/7).
(a) Calculate
(i) the area of the sector.
(ii) the length of the arc.
(b) The sector is folded to form an inverted right cone. Calculate
(i) the base radius of the cone.
(ii) To one decimal place, the vertical height of the cone.
(c) Calculate the capacity of the cone in litres.
Date posted:
April 29, 2019
.
Answers (1)
-
From town P, a town Q is 60km away on a bearing South 80º East. A third town R is 100km from P on the...
(Solved)
From town P, a town Q is 60km away on a bearing South 80º East. A third town R is 100km from P on the bearing South 40º West.
A cyclist travelling at 20km/h leaves P for Q. He stays at Q for one hour and then continues to R. He stays at R for 1½ hrs and thenreturns directly to P.
(a) Calculate the distance of Q from R.
(b) Calculate the bearing of R from Q.
(c) What is the time taken for the whole round trip?
Date posted:
April 29, 2019
.
Answers (1)
-
In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the...
(Solved)
In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the ratio 3:4. Lines XR and YQ
intersect at E.
(c) Using the results in (b) above, find the values of m and n.
Date posted:
April 29, 2019
.
Answers (1)