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- In the figure below LM is a diameter of the circle and LMN is a straight line. The line PQR is a tangent to the...(Solved)
In the figure below LM is a diameter of the circle and LMN is a straight line. The line PQR is a tangent to the circle at Q.Angle NQR=320 and angle QML =500.
Calculate
(a) angle MQN
(b) angle QNM
Date posted: September 16, 2019. Answers (1)
- Make x the subject of the formula (Solved)
Make x the subject of the formula 
Date posted: September 16, 2019. Answers (1)
- Solve for t given that(Solved)
Solve for t given that 
Date posted: September 16, 2019. Answers (1)
- A shamba is in the shape of a parallelogram with the lengths of the adjacent sides being 12cm and 15cm.
If the area of the parallelogram...(Solved)
A shamba is in the shape of a parallelogram with the lengths of the adjacent sides being 12cm and 15cm.
If the area of the parallelogram is 72 cm2, find the angle between these two sides.
Date posted: September 16, 2019. Answers (1)
- Use logarithms only to evaluate.(Solved)
Use logarithms only to evaluate.
Date posted: September 16, 2019. Answers (1)
- The figure below shows a net of a solid figure. The dimensions AC = CB = BA = 5cm,AF 10cm and the triangles ABC and...(Solved)
The figure below shows a net of a solid figure. The dimensions AC = CB = BA = 5cm,AF 10cm and the triangles ABC and DEF are equilateral and equal.
(a) Taking BCDE as the base of the solid, draw a proportionately well labeled and dimensioned solid that can be made from the net.
(b) Name the solid arising from the net.
(c) Using the sketch, calculate;
i) the angle between line CF and the plane BCDE.
ii) the angle between lines BD and DF
iii) the angle between the planes BCDE and CDFA
Date posted: September 13, 2019. Answers (1)
- Complete the table below for the functions y = 2 sin (x – 300) and y = Cos 2x(Solved)
Complete the table below for the functions y = 2 sin (x – 300) and y = Cos 2x.
(a) On the same set of axes, draw the graphs of y = 2 Sin (x - 30) and y = cos 2x in
The range 00 < 3600
(b) Use your graph to solve the equation 2 sin (x - 300) = cos 2x
(c) State the,
(i) phase angle for the wave y = 2 Sin (x -30°)
(ii) period for the wave y = cos 2x.
Date posted: September 13, 2019. Answers (1)
- The relationship between two quantities x and y are suspected to be of the form y = abx + 2.1(Solved)
The relationship between two quantities x and y are suspected to be of the form y = abx + 2.1 where a and. b are constants. The table below show corresponding values of x and y.
a) By drawing a suitable straight line graph, estimate the values of a and b.
(b) Hence, determine the value of;
i) y when x is 13.2.
ii) x when y is 47.6.
Date posted: September 13, 2019. Answers (1)
- The table below shows monthly income tax rates.(Solved)
The table below shows monthly income tax rates.
A civil servant earns a salary of Sh.42000 and is provided with a house at a nominal rent of Sh. 1500 per month.
(a) Taxable pay is the employee’s salary plus 15% of salary less nominal rent. Calculate the civil servant’s taxable income in K£ p.m.
(b) If the employee is entitled to a personal relief of Sh.900 p.m., what is his PAYE?
(c,) The following deductions are made from his gross monthly pay; NHIF - Sh 630, WCPS - Sh 540, Union dues - Sh 330, SACCO loan recovery - Sh.7000 and Co - operative shares Sh.2500 Calculate his net monthly pay.
Date posted: September 13, 2019. Answers (1)
- A curve passes through the point (3,-6) and its gradient function is dy/dx= 2x-1(Solved)
A curve passes through the point (3,-6) and its gradient function is dy/dx= 2x-1.
(a) Find the equation of the curve.
(b) Determine the x-co-ordinate of the points where the curve cuts the x-axis.
(c) sketch the curve
(d) By integration, find the area enclosed by the curve and the x-axis
Date posted: September 13, 2019. Answers (1)
- Triangle ABC below has an area of 30 cm2(Solved)
Triangle ABC below has an area of 30 cm2. In triangle,angle ABC = alpha , angle ACB = theta and sin alpha - cos theta =0. Sides AB = ( 2x – 3) cm, AC = 3x cm and BC = 2 (x + 2.5) cm.
From the triangle, find;
(a) The value of x.
(b) The perimeter of the triangle.
(c) The perpendicular height from A to base BC
(d) The size of angle alpha
Date posted: September 13, 2019. Answers (1)
- Evaluate using square root, cubes and reciprocal tables;(Solved)
Evaluate using square root, cubes and reciprocal tables;
Date posted: September 13, 2019. Answers (1)
- In a class there are 19 girls and the rest are boys.(Solved)
In a class there are 19 girls and the rest are boys. The probability of picking a boy from the class
is 0-4. Find the total number of students in that class.
Date posted: September 13, 2019. Answers (1)
- The figure below shows a square based non- right pyramid ABCDV. Side BCV is an equilateral triangle of side 8 cm(Solved)
The figure below shows a square based non- right pyramid ABCDV. Side BCV is an equilateral triangle of side 8 cm and is perpendicular to base ABCD. Calculate to4 s.f the volume of the pyramid.
Date posted: September 13, 2019. Answers (1)
- Solve without using tables or calculators(Solved)
Solve without using tables or calculators
Date posted: September 13, 2019. Answers (1)
- A chord XY of a circle is 5cm long and subtends an angle of 30° on the major arc of the circle centre O.(Solved)
A chord XY of a circle is 5cm long and subtends an angle of 30° on the major arc of the circle centre O. Calculate to 4 s.f.
(a) the distance of the chord from the centre of the circle.
(b) the radius of the circle
Date posted: September 13, 2019. Answers (1)
- From the graphs below, determine the inequalities l1, l2 and l3 satisfy the un shaded region(Solved)
From the graphs below, determine the inequalities l1, l2 and l3 satisfy the un-shaded region
Date posted: September 13, 2019. Answers (1)
- A student misread the number 0.4 07 for 0.407 . Calculate the percentage error incurred in using the wrong number(Solved)
A student misread the number 0.4 07 for 0.407 . Calculate the percentage error incurred in using the wrong number
Date posted: September 13, 2019. Answers (1)
- Solve for x in the trigonometric, equation 3 sin 2x = -0.1545(Solved)
Solve for x in the trigonometric, equation 3 sin 2x = -0.1545
Date posted: September 13, 2019. Answers (1)
- From a point P a boy notices that the angle of elevation of the top of a tall building is 45°.(Solved)
From a point P a boy notices that the angle of elevation of the top of a tall building is 45°. He moves 270m from P to Q and realizes that the new angle of depression is 30°. Given that Q is on the same side of the building as P, find the height of the building.
Date posted: September 13, 2019. Answers (1)