A certain lifting system is presented by the diagram shown below. Gear A on the motor shaft has 20 teeth and is meshed to gear B which has 100 teeth andlis fixed to a winch drum C having a radius of 100 mm . A mass m hangs on a light inelastic rope which is wound around the drum and fixed to it. At a given time A rotates at \( 600 \mathrm{r} / \mathrm{min} \) and is then accelerated during 15 seconds to \( 1200 \mathrm{r} / \mathrm{min} \). Calculate: 8.1) the number of revolutions and radians through which B rotates during its acceleration respectively,

b) \( \left(2 w+5 w^{2}-3 w^{3}\right)\left(3 w^{2}-5 w^{3}\right) \)

Arecipe calls for \( 2 \frac{2}{3} \) cups of flour for every \( \frac{1}{6} \) cup of cinnamon. If Richard has 1 cup of cinnamon already in the recipe, how many cups of flour will he need?

6. \( 4 \frac{1}{4}+7 \frac{1}{8}+6 \frac{1}{32} \)

The figure shows a regular polygon. Find the measure of angles \( A \) and B . The measure of angle B is \( \square^{\circ} \) and the measure of angle A is \( \square^{\circ} \). (Round to two decimal places as needed.)

2) Discute en función do parámetro \( m \) o sistema de ecuacións: \( \left\{\begin{array}{c}x+m y+m z=1 \\ x+m y+m z=m \\ m y+m z=4 m\end{array}\right. \) 3) Resólveo para os casos que sexa posible.