Use the matrix method to solve the following simultaneous equations:
Question
Erick
2x − 2y = 7
4x − 5y = 2
Solve the following simultaneous equations by matrix method.
Question
Erick
2x + 3y − 2 = 0
−9y + 8x − 1 = 0
. An aeroplane which flies at 100 km/hr in still air is flying on a day on which the wind is blowing from the South at 40 km/hr
Question
Erick
(a) Find the time taken to fly north for a distance of 70 km.
(b) i) Find the direction which the pilot must set his plane in order to fly due east.
ii) Find the ground speed, to the nearest ...
A box contains 9 oranges, 7 mangoes and 2 lemons. A fruit is drawn at random and then replaced. Another draw is made. What is the probability that both fruits drawn are not mangoes?
Question
Erick
...
A fair die is tossed once and the number showing up is recorded. What is the probability of an even number greater than two showing up?
Question
Erick
..
A bag contains 4 red, 2 white and 2 blue balls. A ball is drawn at random from the bag. Find the probability that it is not blue.
Question
Erick
..
A cylinder of base radius of 14 cm has a height of 28 cm. Calculate its volume
Question
Erick
..
What is the area of a regular 36 sided polygon inscribed in a circle of radius 10 cm?
Question
Erick
..
Find the equation of the line passing through the point (-3,8) which is perpendicular to the line defined by the equation y = 3x − 4.
Question
Erick
..
The line passing through the points A(k,4) and B(3,2k) is parallel to the line y + 3x − 4 = 0. Find the value of k.
Question
Erick
..