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- The angle of elevation of the top of a storey building from point P is 23.61º. From another point Q six metres nearer to the...(Solved)
The angle of elevation of the top of a storey building from point P is 23.61º. From another point Q six metres nearer to the base of the building, the angle of depression from the top of the building is 35º. Calculate to 1 decimal place the height of the building.
Date posted: August 28, 2019. Answers (1)
- Find the range of values of x which satisfy the following inequalities simultaneously(Solved)
Find the range of values of x which satisfy the following inequalities simultaneously and represent them on a number line.
Date posted: August 28, 2019. Answers (1)
- A line L is perpendicular to 2x + y = 3 and passes through point (4, -1). Determine
(i) the equation of line L.
(ii) the...(Solved)
A line L is perpendicular to 2x + y = 3 and passes through point (4, -1). Determine
(i) the equation of line L.
(ii) the acute angle that line L makes with the x-axis.
Date posted: August 28, 2019. Answers (1)
- The length and width of a rectangle are stated as 18.5cm and 12.4cm respectively.(Solved)
The length and width of a rectangle are stated as 18.5cm and 12.4cm respectively. Both measurements are given to the nearest 0.1cm.
Calculate the percentage error in the area.
Date posted: August 28, 2019. Answers (1)
- Solve the equation.(Solved)
Solve the equation.
Date posted: August 28, 2019. Answers (1)
- Find the integral value of x which satisfy the inequality.(Solved)
Find the integral value of x which satisfy the inequality.
Date posted: August 28, 2019. Answers (1)
- Solve for theta in the equation(Solved)
Solve for theta in the equation
Date posted: August 28, 2019. Answers (1)
- Find the smallest number which leaves a reminder of 4 when divided by either 8 or 12 or 14.(Solved)
Find the smallest number which leaves a reminder of 4 when divided by either 8 or 12 or 14.
Date posted: August 28, 2019. Answers (1)
- Find the area of an equilateral triangle whose sides are 18cm.(Solved)
Find the area of an equilateral triangle whose sides are 18cm.
Date posted: August 28, 2019. Answers (1)
- In the figure below O is the centre of the circle. Given that PR = QR and angle PQR = 69º.Find angle RQO.(Solved)
In the figure below O is the centre of the circle. Given that PR = QR and angle PQR = 69º. Find angle RQO.
Date posted: August 28, 2019. Answers (1)
- Three taps A, B and C can fill a water tank in 30 minutes, 25 minutes and 15 minutes respectively.(Solved)
Three taps A, B and C can fill a water tank in 30 minutes, 25 minutes and 15 minutes respectively. If the three taps are turned on for 5 minutes then A and C are closed. How long would it take before the tank is filled.
Date posted: August 28, 2019. Answers (1)
- Simplify as far as possible the following;(Solved)
Simplify as far as possible the following;
Date posted: August 28, 2019. Answers (1)
- A Kenyan company received US Dollars 100,000. The money were converted into Kenya shillings in a bank which buys and sells foreign currencies as follows.(Solved)
A Kenyan company received US Dollars 100,000. The money were converted into Kenya shillings in a bank which buys and sells foreign currencies as follows.
(a) Calculate the amount of money, in Kenya shillings, the company received.
(b) The company exchanged the Kenya shillings calculated in (a) above, into
sterling pounds to buy a car from Britain. Calculate the cost of the car to the
nearest sterling pond.
Date posted: August 28, 2019. Answers (1)
- Juma, Ali and Hassan share the profit of their business in the ratios 3 : 7 : 9 respectively. If Juma receives sh60,000. How much...(Solved)
Juma, Ali and Hassan share the profit of their business in the ratios 3 : 7 : 9 respectively. If Juma receives sh60,000. How much profit did the business yield
Date posted: August 28, 2019. Answers (1)
- Solve the following simultaneous equations.(Solved)
Solve the following simultaneous equations.
x2 + y2=26
x + y=4
Date posted: August 28, 2019. Answers (1)
- Find the values of w, and v in the figure.(Solved)
Find the values of w, and v in the figure.
Date posted: August 28, 2019. Answers (1)
- Use tables 1 and table 2 below to find the average speed that the Nairobi-Mombasa passenger train uses to travel between Konza and Masongaleni.
Table...(Solved)
Use tables 1 and table 2 below to find the average speed that the Nairobi-Mombasa passenger train uses to travel between Konza and Masongaleni.
Table 1: Shows the rail distance in km between selected stations from Mombasa to Nairobi.
Table 2: Shows the departure and arrival time between selected stations from Mombasa to Nairobi.
Date posted: August 28, 2019. Answers (1)
- Find correct to 3s.f the value of;(Solved)
Find correct to 3s.f the value of; without using a calculator.
Date posted: August 28, 2019. Answers (1)
- The distance between points P and Q on a section of a straight road is 12km.(Solved)
The distance between points P and Q on a section of a straight road is 12km. Mukai and Mutua left points P and Q respectively at the same time and moved towards each other at 1m/sec and 1.5m/s respectively.
Calculate:
a) their relative speed.
b) The time they will take before meeting.
Date posted: August 28, 2019. Answers (1)
- John spent two thirds of his salary on food, a third of the remainder on rent and saved the rest.What fraction of his salary did...(Solved)
John spent 
of his salary on food, a 
of the remainder on rent and saved the rest.
What fraction of his salary did he save? If he spent Sh.1200 on food, how much did he spend on rent.
Date posted: August 28, 2019. Answers (1)