The diagram shows an arc MN of a circle centre O, with radius 10cm, If $\angle MON={{72}^{\circ }}$ Calculate the length of the arc, correct to three significant figures. [Take $\pi =\tfrac{22}{7}$]

Find the  n^th tem of the sequence 5, 10 , 20, 40, 80,…

A seller allows 20% discount for cash payment on a marked price of his goods. What is the ratio of the cash payment to the marked price

In the diagram, PQR is a straight line, QRST  is a parallelogram$\angle TPQ={{72}^{\circ }}$ and $\angle RST={{126}^{\circ }}$. What type of triangle is ΔPQT

If $P={{\left[ \frac{Q(R-T)}{15} \right]}^{\tfrac{1}{3}}}$ Make T the subject of the relation

In the diagram, the two circles have a common a centre O, if the area of the larger circle is 100π and that of the smaller circle is 49 π. Find x 

A conical water–jug is 7cm in diameter and 6cm deep. Find the volume of water it can hold [Take $\pi =\tfrac{22}{7}$ ]

If ${{\log }_{a}}270-{{\log }_{a}}10+{{\log }_{a}}\tfrac{1}{3}=2$ what is the value of a?