Find the time that is  \(4\dfrac{1}{3}\)hours after 3:16 pm.

A currency exchange converts 1 Australian Dollar (AUD) for 0.53 British Pound (GBP) and 1 British Pound (GBP) for 1.17 EURO (EUR). Convert 40 EUR to AUD, correcting to the nearest AUD.

Jess measured a rectangular land by 123.2 cm by 216.5 cm. She estimates the area of the land by rounding each measurement to the nearest cm. Find the percentage error in Jess’ estimation, correcting to the nearest %.

Find the area of the sector, correcting to two significant figures.

Find the total surface of the prism, leaving in  \({\rm{c}}{{\rm{m}}^2}\).

Choose vector quantities.

Find the vector equation of the following diagram.

Find \(x\) and \(y\),   if the vector \(\overrightarrow {CD} \) in unit vector form is  \( x\vec{i} + y \vec{j} \)

Find the positive value of \(k\),   correcting to three significant figures,   if the length of  \( \begin{pmatrix} k \\ – 3 \end{pmatrix} \)  is 7.2.

Find  \(x\) and \(y\),   if  \(\overrightarrow {CA} = \left( {\begin{array}{*{20}{c}}
x\\
y
\end{array}} \right)\)  given  \(\overrightarrow {AB} = \left( {\begin{array}{*{20}{c}}
-2\\
4
\end{array}} \right)\)  and  \(\overrightarrow {BC} = \left( {\begin{array}{*{20}{c}}
2\\
6
\end{array}} \right)\).