Two gears are adjusted so that the smaller gear drives the larger one, as shown in the figure. If the smaller gear rotates through an angle of \( 270^{\circ} \), through how many degrees will the larger gear rotate?

X EXERCICE 15 \( A B C \) est un triangle. 1. Construire le point \( D \) tel que \( \overrightarrow{A D}=\overrightarrow{A B}-\overrightarrow{A C} \). Que peut-on dire du quadrilatère \( A D B C \) 2. Construire le point \( M \) tel que \( \overrightarrow{B M}=\overrightarrow{B C}-\overrightarrow{C A} \).

1. Нарисуйте произвольный треугольник \( B K X \). Обозначьте буквами и запишите: а) сторону, лежащую напротив угла \( K \); б) угол между сторонами \( B X \) и \( K X \); в) стороны, прилежащие к углу \( X \); г) углы, прилежащие к стороне \( B K \).

1. Determine the volume of a cube with sides of 30 mm . Express your answer in \( \mathrm{cm}^{2} \). 2. Calculate the volume of the following reetangular blocks: (a) length 40 cm ; heighth 30 cm ; width 15 cm . (b) Iength \( 1,5 \mathrm{~m} \); height \( 0,3 \mathrm{~m} \); width 50 cm . Express your answers in standard form, first in \( \mathrm{cm}^{3} \), then in \( \mathrm{m}^{3} \). 3. Astorage bin is 2 m long with vertical sides and a cross-section in the form of a trapezium as shown. What is the capacity of the bin?

7. A solid metal cone has a diameter of 14 cm and a height of 24 cm . calculate the surfice area of the cone.

Draw the graph of the following equation. \[ x^{2}+y^{2}+8 x+10 y-26=0 \]