À l'aide du triangle RST ci-contre, prouver que la longueur ST d'un escalator est de \( 13,6 \mathrm{~m} \).

The coordinates of triangle ABC are \( \mathrm{A}\left(-4 \frac{1}{2},-2 \frac{1}{2}\right), \mathrm{B}\left(-4 \frac{1}{2},-1\right) \), and \( \mathrm{C}(6,-1) \). a. What is the distance between points A and B ? b. Give the coordinates for two points that are 4 units from point C . a. Points A and B are \( \square \) units apart. (Type an integer, fraction, or mixed number.)

\begin{tabular}{l}6.2 A cylinder has a radius of 7 cm and height of 10 cm . \\ C.2.1 Calculate the volume of the cylinder. (if \( \pi=3,14 \) ) \\ \hline\end{tabular}

(Unit-AL) Uma célula esférica se dividiu em duas, preservando o volume total. Usando-se \( \sqrt[3]{2} \cong 1,26 \), se preciso, é correto estimar que o raio de cada uma das novas células será, em comparação com o da célula original, cerca de A. \( 20 \% \) menor. B. \( 30 \% \) menor. C. \( 40 \% \) menor. D. \( 50 \% \) menor. E. \( 60 \% \) menor.

The coordinates of triangle \( A B C \) are \( A\left(-4 \frac{1}{2},-2 \frac{1}{2}\right), B\left(-4 \frac{1}{2},-1\right) \), and \( C(6,-1) \) a. What is the distance between points A and \( B \) ? b. Give the coordinates for two points that are 4 units from point \( C \).

VI. Determine the equation of the straight line in ordinary form that passes through the point \( (-2,5) \) and is parallel to the line \( 3 x-y=10 \).