- a) Find the inverse of the matrix.(Solved)
a) Find the inverse of the matrix.
b) Hence determine the point of intersection of the lines.
y + x = 7
3x + y = 15
Date posted: May 9, 2019. Answers (1)
- After how many years would Kshs 15,000 amount to Kshs 24,015.50 at a rate of 16% p.a. compounded quarterly?(Solved)
After how many years would Kshs 15,000 amount to Kshs 24,015.50 at a rate of 16% p.a. compounded quarterly?
Date posted: May 9, 2019. Answers (1)
- Given that the dimensions of a rectangle are 12.0cm and 25.0cm. Find the percentage error in calculating the area.(Solved)
Given that the dimensions of a rectangle are 12.0cm and 25.0cm. Find the percentage error in calculating the area.
Date posted: May 9, 2019. Answers (1)
- T is a transformation represented by the matrix below;(Solved)
T is a transformation represented by the matrix below;
Under T, a square of area of 18cm² is mapped into a square of area 110cm². Find the value of x.
Date posted: May 9, 2019. Answers (1)
- In the figure below QT is a tangent to a circle at Q. PXRT and QXS are straight lines. PX =6cm, RT=8cm, QX=4.8cm and XS...(Solved)
In the figure below QT is a tangent to a circle at Q. PXRT and QXS are straight lines. PX =6cm, RT=8cm, QX=4.8cm and XS =
5cm.
Find the length of :
a) XR
b) QT
Date posted: May 9, 2019. Answers (1)
- Two types of tea which cost Kshs 200 per kg and Kshs 250 per kg are mixed so that their weights are in the ratio...(Solved)
Two types of tea which cost Kshs 200 per kg and Kshs 250 per kg are mixed so that their weights are in the ratio 5 : 3
respectively. Calculate the cost of 20kg of the mixture.
Date posted: May 9, 2019. Answers (1)
- Find the centre of radius of a circle whose equation is 3x² + 3y² - 18x + 12y + 39 = 12(Solved)
Find the centre of radius of a circle whose equation is 3x² + 3y² - 18x + 12y + 39 = 12
Date posted: May 9, 2019. Answers (1)
- Mr. Partel a civil servant pays PAYE of Kshs 3500 per month. He is entitled to a personal relief of Kshs 1164 per month. Using
the...(Solved)
Mr. Partel a civil servant pays PAYE of Kshs 3500 per month. He is entitled to a personal relief of Kshs 1164 per month. Using
the tax brackets below. Find Partel's monthly taxable income.
Date posted: May 9, 2019. Answers (1)
- Solve the trigonometric equation for 0°= x =360°.
3Cos²x + 8 Sin x - 4 = 3(Solved)
Solve the trigonometric equation for 0°≤ x ≤360°.
3Cos²x + 8 Sin x - 4 = 3
Date posted: May 9, 2019. Answers (1)
- Find the point on the curve y = x² - 3x + 6 at which the gradient is 3 and find the equation of the...(Solved)
Find the point on the curve y = x² - 3x + 6 at which the gradient is 3 and find the equation of the tangent to the curve at this
point.
Date posted: May 9, 2019. Answers (1)
- The nth term of a sequence in 2n + 1(Solved)
The nth term of a sequence in 2n + 1
i) State the first four terms of the sequence
ii) Determine the sum of the first 40 terms of the series.
Date posted: May 9, 2019. Answers (1)
- A quantity F varies partly at t and partly as the square root of t. When t = 4, F = 22 and when t...(Solved)
A quantity F varies partly at t and partly as the square root of t. When t = 4, F = 22 and when t = 9, f = 42. Write the equation
connecting F and t.
Date posted: May 9, 2019. Answers (1)
- Make x the subject of the formula.(Solved)
Make x the subject of the formula.
Date posted: May 9, 2019. Answers (1)
- Work out the following;(Solved)
Work out the following;
Date posted: May 9, 2019. Answers (1)
- Use logarithm table to evaluate to 4 decimal places.(Solved)
Use logarithm table to evaluate to 4 decimal places.
Date posted: May 9, 2019. Answers (1)
- Main was paid an initial salary of Kshs 200,000 per annum with a fixed annual increment. John was paid an initial salary of
Kshs 250,000 per...(Solved)
Main was paid an initial salary of Kshs 200,000 per annum with a fixed annual increment. John was paid an initial salary of
Kshs 250,000 per annum with 50% increment compounded annually.
a) Given that Maina's annual salary is the 8th year was Kshs 298,000 determine
i) His annual increment.
ii) The total amount of money Maina earned during the 8 years.
b) Determine John's monthly earning, correct to the nearest shillings during the eight year.
c) Determine, correct to the nearest shilling
i) The total mount of money John earned during the 8 years.
ii) The difference between Maina's and John's average monthly earning during the 8 years.
Date posted: May 9, 2019. Answers (1)
- A right conical frustum of base radius 7cm, top radius 4cm and height 5cm is stuck onto a cylinder or base radius 7 cm and
height...(Solved)
A right conical frustum of base radius 7cm, top radius 4cm and height 5cm is stuck onto a cylinder or base radius 7 cm and
height 6 cm and further attached to the hemisphere to form a closed solid as shown below. (Take pi = 22/7)
a) Find the volume of the solid.
b) Given that the mass or the solid is 2430g find its density.
Date posted: May 9, 2019. Answers (1)
- Triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation whose
matrix is(Solved)
Triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation whose
matrix is
a) On the grid provided draw triangle PQR and P1Q1R1
b) The triangle P1Q1R1 is mapped onto triangle P11Q11R11 whose vertices are P11 (-2, -2), Q11(-5, -3), R11 (-4, -1)
i) Find the matrix of transformation which maps triangle P1Q1R1 onto triangle P11Q11R11
ii) Draw the image P11Q11R11 on the same grid and fully described the transformation that maps PQR onto P11Q11R11
Date posted: May 9, 2019. Answers (1)
- Three towns X, Y and Z are such that X is on a bearing of 120° and 20 km from Y. Town Z is on...(Solved)
Three towns X, Y and Z are such that X is on a bearing of 120° and 20 km from Y. Town Z is on a bearing of 220o and 12km
from X.
a) Using a scale of 1cm to represent 2km, show the relative position of the places.
b) Find;
i) The distance between Y and Z
ii) The bearing of X from Z
iii) The bearing of Z from Y.
iv) The area of the figure bounded by XYZ.
Date posted: May 9, 2019. Answers (1)
- A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the
same route at...(Solved)
A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the
same route at an average speed of 100km/hr. If the distance between Kisumu and Nairobi is 500km, determine:
a) i) The distance of the bus from Nairobi when the car took off.
ii) The distance the car travelled to catch up with the bus.
b) Immediately the car caught up with the bus, the car stopped for 25 minutes. Find the new average speed of which the car
travelled in order to reach Nairobi at the same time at the bus. (to the nearest whole number).
Date posted: May 9, 2019. Answers (1)