Question If you place a 28 -foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot. Answer Attempt 1 out of 2

A triangle has base \( 4 \frac{1}{7} \) feet and height \( 7 \frac{1}{6} \) feet. Find the area of the triangle as a mixed number.

8. Dans le plan muni d'un repère \( (0, \vec{i}, j) \), on donne le point \( A(-2 ; 3) \), les vecteurs \( \begin{array}{l}\vec{u}=\vec{i}+\vec{j} \text { et } \vec{v}=\vec{i}-\vec{j} \\ 1^{\circ} \text { Démontrer que le couple }(\vec{u}, \vec{v}) \text { est une base } \\ \text { du plan. }\end{array} \).

10. Find the equations of straight lines each of which is parallel to and at a distance of \( \sqrt{5} \) from the line \( x+2 y-7=0 \).

The area of a trapezoid with bases a a b with height \( h \) is given by \( A=\frac{1}{2} h(a+b) \). If a carpenter needs to sheet rock a wall designed as a trapezoid with bases of \( \frac{1}{5} \) yards and \( \frac{13}{15} \) yards with a height of \( \frac{2}{3} \) yards, what is the area of the wall?

33. The formula \( V=s^{3} \) can be used to find the volume of a cube. Use the formula to find the volume, \( V \), of a cube-shaped bin with side length \( s \) of \( \frac{2}{3} \) yard.