In the diagram, IG is parallel to JE, JEF = 120o and FHG = 130o, fins the angle marked t
In the diagram, /TP/ = 12cm and it is 6cm from O, the centre of the circle, Calculate < TOP
PQRS is a trapezium. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate, correct to the nearest cm2, the area of the trapezium (h = 3.35cm2 )
PQRS is a trapezuim. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate the perpendicular distance between the parallel sides
The following is the graph of a quadratic friction, find the value of x when y = 0
The following is the graph of a quadratic friction, find the co-ordinates of point P
Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3
Simplify (x – 3y)2 – (x + 3y)2
The angles of triangle are (x + 10)o, (2x – 40)o and (3x – 90)o. Which of the following accurately describes the triangle?
Simplify; \(\frac{1}{2}\sqrt{32} – \sqrt{18} + \sqrt{2}\)
A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is \(\frac{3}{10}\) and the probability of picking a white ball at random is \(\frac{2}{5}\). If there are 30 balls in the box, how many of them are red?
A bucket holds 10 litres of water. How many buckets of water will fill a reservoir of size 8m x 7m x 5m.(1 litre = 1000cm3)`
Each of the interior angles of a regular polygon is 140o. Calculate the sum of all the interior angles of the polygon
If c and k are the roots of 6 – x – x2 = 0, find c + k
If a positive integer, list the values of x which satisfy the equation 3x – 4 < 6 and x – 1 > 0
solve \(\frac{2x + 1}{6} – \frac{3x – 1}{4}\) = 0
An arc of a circle subtends an angle of 60o at the centre. If the radius of the circle is 3cm, find , in terms of \(\pi\), the length of the arc
The capacity of a water tank is 1,800 litres. If the tank is in form of a cuboid with base 600cm by 150 cm. Find the height of the tank
If 85% of x is N3230, what is the value of x?