A cyclist moved at a speed of Xkm/h for 2 hours. He then increased his speed by 2 km/h for the next 3 hours.

If the total distance covered is 36 km, calculate his initials speed.

The distance d between two villages east more than 18 KM but not more than 23KM.

which of these inequalities represents the statements?

The points X, Y and Z are located such that Y is 15 km south of X, Z is 20 km from X on a bearing of 270".

Calculate, correct: (a) two significant figures, |YZ|

(b) The nearest degree, the bearing of Y from Z

(a) A cottage is on a bearing of 200° and 110° from Dogbe's and Manu's farms respectively. If Dogbe walked 5 km and Manu 3 km from the cottage to their farms, find, correct to: (i) two significant figures, the distance between the two farms, (ii) the nearest degree, the bearing of Manu's farm from Dogbe's.

(b) A ladder 10 m long leaned against a vertical wall xm high. The distance between the wall and the foot of the ladder is 2 m longer than the height of the wall.

Calculate the value of x