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- Expand (1 + 1/2x)5 upto the term on x³, use the expansion to estimate the value of (1.05)5 correct to 4 significant figures.(Solved)
Expand (1 + 1/2x)5 upto the term on x³, use the expansion to estimate the value of (1.05)5 correct to 4 significant figures.
Date posted: November 7, 2019. Answers (1)
- Make P the subject of the formula.(Solved)
Make P the subject of the formula.
Date posted: November 7, 2019. Answers (1)
- Solve for y in the equation 2sin²y - 1 = Cos² y + sin y. For values of 0° = y = 360°.(Solved)
Solve for y in the equation 2sin²y - 1 = Cos² y + sin y. For values of 0° ≤ y ≤ 360°.
Date posted: November 7, 2019. Answers (1)
- Given the vectors a=3j + 2k and b=4i - 7k and that p = 3a - b. Find the value of |p| to 2 d.p.(Solved)
Given the vectors a=3j + 2k and b=4i - 7k and that p = 3a - b. Find the value of |p| to 2 d.p.
Date posted: November 7, 2019. Answers (1)
- The equation of a circle is x² + 4x + y² - 5 = 0. Find the centre and the radius of the circle.(Solved)
The equation of a circle is x² + 4x + y² - 5 = 0. Find the centre and the radius of the circle.
Date posted: November 7, 2019. Answers (1)
- Solve for the value of x in(Solved)
Solve for the value of x in
Date posted: November 7, 2019. Answers (1)
- The diagram below shows a circle centre O. AP is the tangent to the circle. Angle OPA is 23°. Find the length of the tangent.(Solved)
The diagram below shows a circle centre O. AP is the tangent to the circle. Angle OPA is 23°. Find the length of the tangent.
Date posted: November 7, 2019. Answers (1)
- Given that leaving your answer in form of v?? +v??(Solved)
Given that 
leaving your answer in form of √𝐴 +√𝐵
Date posted: November 7, 2019. Answers (1)
- In the figure below, P, Q, R and S are points on the circumference of the circle centre O. TP and TR are tangents to...(Solved)
In the figure below, P, Q, R and S are points on the circumference of the circle centre O. TP and TR are tangents to the circle at P and R respectively. POQ is a diameter of the circle and angle PQR = 64°
Giving reasons in each case, find the size of
a) b) c) d) e)
Date posted: November 6, 2019. Answers (1)
- A pirate boat sails from port A on a bearing of 050° at a speed of 112km/h, for 2½ hours to port B. From port...(Solved)
A pirate boat sails from port A on a bearing of 050° at a speed of 112km/h, for 2½ hours to port B. From port B it changes its course and travelled on a bearing of 170° at a speed of 75km/h for 2 2/3 hours toward part C. From C it travelled to port D. D is on a bearing of 130° and 160km from A.
a) Using a scale of 1cm to represent 40km, Draw a diagram showing the positions of the ports A, B, C and D.
b) Use your drawing to find.
i) The distance CD
ii) The bearing of C from D
c) A marine police patrol leaves port A to intercept the pirate boat at M as it moves from B to C in the shortest time possible.
i) How far from A will the two boats meet at M.
ii) If the boats meets after 2 hours, what is the speed of the marine police boat.
Date posted: November 6, 2019. Answers (1)
- A closed cylindrical metal tin has radius r and height h. The capacity of the tin is 250 p litres
a) Express in term of r.
i)...(Solved)
A closed cylindrical metal tin has radius r and height h. The capacity of the tin is 250 π litres
a) Express in term of r.
i) the height h of the tin.
ii) the total surface area of the tin.
b) i) Find the value of r for which the surface are of the metal used is to be minimum
ii) The minimum area of the metal used to make the cylinder.
Date posted: November 6, 2019. Answers (1)
- A truck left town X at 8.45am and traveled toward Y at an average speed of 50km/hr. A car left town X at 11.15am on...(Solved)
A truck left town X at 8.45am and traveled toward Y at an average speed of 50km/hr. A car left town X at 11.15am on the same day and traveled along the same road at an average speed of 90km/h. The distance between the two town is 420km.
a) Calculate the time of the day when the car overtook the truck.
b) The distance from Y when the car overtook the truck.
c) After overtaking the bus, both vehicles continued towards Y at their original speeds. Find how long the car had to wait at town Y before the truck arrived.
Date posted: November 6, 2019. Answers (1)
- A certain volume of methlylated spirit has a mass of 2.2kg. Given that the density of methlylated spirit is 0.8g/cm³ calculate the volume of the...(Solved)
A certain volume of methlylated spirit has a mass of 2.2kg. Given that the density of methlylated spirit is 0.8g/cm³ calculate the volume of the methylated spirit in litres.
Date posted: November 6, 2019. Answers (1)
- A truck left Kisumu to Mombasa a distance of 1000 km at 11.30 am on Monday at a speed of 60km/hr. On the way it...(Solved)
A truck left Kisumu to Mombasa a distance of 1000 km at 11.30 am on Monday at a speed of 60km/hr. On the way it stopped for 2 1/3 hours. At what time did it reach Mombasa.
Date posted: November 6, 2019. Answers (1)
- The cross-section of a head of a bolt is the form of a regular hexagon as shown below.
Determine the area of the cross-section to 2dp.(Solved)
The cross-section of a head of a bolt is the form of a regular hexagon as shown below.
Determine the area of the cross-section to 2dp.
Date posted: November 6, 2019. Answers (1)
- Two similar blocks have masses of 729g and 216g respectively. If the surface area of the smaller block is 300cm², calculate the surface area of...(Solved)
Two similar blocks have masses of 729g and 216g respectively. If the surface area of the smaller block is 300cm², calculate the surface area of the larger block.
Date posted: November 6, 2019. Answers (1)
- Evaluate without using tables or a calculator.(Solved)
Evaluate without using tables or a calculator.
Date posted: November 6, 2019. Answers (1)
- Find the value of k in the equation.
125k+1 + 53k = 630(Solved)
Find the value of k in the equation.
125k+1 + 53k = 630
Date posted: November 6, 2019. Answers (1)
- Find the value of x given that is a singular matrix.(Solved)
Find the value of x given that 
is a singular matrix.
Date posted: November 6, 2019. Answers (1)
- The difference between two positive integers is 5 and the sum of their squares is 73. Find the integers.(Solved)
The difference between two positive integers is 5 and the sum of their squares is 73. Find the integers.
Date posted: November 6, 2019. Answers (1)