COMBINATION: - - A rectangle with dimensions \( 3 \mathrm{ft} \times 2 \) ft is enlarged using a scale factor of 3 . What is the new width of the enlarged rectangle?

Soit \( A B C \) un triangle. Eet \( F \) deux points tel que: \( \overrightarrow{B E}=2 \overrightarrow{A C} \quad \) et \( \overrightarrow{C F}=\frac{1}{2} \overrightarrow{A B} \) 1) Construire les points \( E \) et \( F \). 2) Montrer que : \( \overrightarrow{A E}=\overrightarrow{A B}+2 \overrightarrow{A C} \quad \) et \( \overrightarrow{A F}=\frac{1}{2} \overrightarrow{A B}+\overrightarrow{A C} \)

6. ABCD is a quadrilateral, and AC and BD are its diagonals. Is \( \mathrm{AB}+\mathrm{BC}+\mathrm{CD}+\mathrm{DA}>\mathrm{AC}+\mathrm{BD} \) ? 7. ABCD is a quadrilateral and \( O \) is any point in its interior in the given figure Show that \( A B+B C+C D+D A<2(O A+O B+O C+O D) \).

12. G'ildirak aylanasining uzunligi 1,5 m . G'ildirak 20,5 marta aylanganda qancha masofani bosib o'tadi? G'ildirak 231 m masofani bosib o'tganda necha marta aylanadi?

Explain the relationship between the area of cross-sections of a three-dimensional shape and its total volume.

Find equation of straight line through \( (-1,4) \) and perpendicular to the line passing through \( (3,0) \) and \( (1,-2) \).