e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40 -feet long, and band members would like to hang it across the concession stand to let people-know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand - Show your work and explain your reasoning. (2 points)

a. Points \( A \) and \( B \) are 1.5 units apart. (Type an integer, fraction, or mixed number.) b. Give the coordinates of one point that is 4 units from point \( C \) in the x-direction. (Type an ordered pair.)

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.)

Defina o que é o raio de um círculo e como ele se relaciona com o diâmetro.

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 \( C \).

\begin{tabular}{l} 6.2. A cylinder has a radius of 7 cm and height of 10 cm . \\ \( \square \) \\ \hline \( .2 .1 \quad \) Calculate the volume of the cylinder. (if \( \pi=3,14 \) ) \end{tabular}