Calcola il perimetro di un rettangolo avente l'area di \( 432 \mathrm{~cm}^{2} \) e una dimensione che è \( \frac{3}{4} \) dell'altra.

El volumen del paralelepipedo formdo por los vectores \( \vec{u}=(-6,7,-1), \vec{v}=(-6,-2,-7) \) y \( \vec{w}=(-3,1,5) \) corresponde a:

A 7 A regular hexagon and a regular pentagon have a common edge. Work out the value of \( a \).

1. \( x^{2}+y^{2}+14 x-8 y+56=0 \) 2. \( 9 x^{2}+9 y^{2}-6 x-36 y-107=0 \) 3. \( x^{2}+y^{2}+8 x+20=0 \) 4. \( x^{2}+y^{2}+2 x-2 y+11=0 \) 5. \( x^{2}+y^{2}-8 y=0 \) B. Write the center-adius form of each circle. 6. center at origin, radius 6 7. center at \( (6,1) \), redius 7 8. center at \( (-2,0) \), diameter 16 9. center at \( (3,1) \), diameter 8 10. center at arigin, radius 8 C. Write the general form of the following. 11. \( x^{2}+(y-7)^{2}=9 \) 12. \( (x-3)^{2}+(y-3)^{2}=16 \) 13. \( (x+1)^{2}+(y-4)^{2}=25 \)

C. Write the genersal form of the following. \[ \begin{array}{l}\text { 11. } x^{2}+(y-7)^{2}=9 \\ 12 .(x-3)^{2}+(y-3)^{2}=16 \\ 13(x+1)^{2}+(y-4)^{2}=25\end{array} \]

The volume of a cylinder with height \( h \) and radius \( r \) can be found using the formula \( V=\pi r^{2} h \). Sketch a cylinder with radius 9 feet and height 10 feet, then find the volume and select the correct units. Round your answer to the the nearest tenth. Volume \( =\square \)