Label the angle as an obtuse angle, acute angle, right angle, or straight angle. \[ m(\angle B)=90^{\circ} \]

If the volume of a cube is \( 512 \mathrm{~cm}^{3} \), find its length. The capacity of a cubical water tank is \( 343000 \mathrm{~cm}^{3} \) \( \begin{array}{ll}\text { (i) What is the volume of the tank ? } & \text { (ii) How high is the tank }\end{array} \)

The circle \( C \) - has centre \( A(3,5) \) - passes through the point \( B(8,-7) \) (a) Find an equation for \( C \).

The plane with the equation \( 3 x+2 y-z=6 \) has a normal vector:

[0/1 PUNTOS] DETALLES MIS NOTAS The radius of a sphere is \( 41 / 2 \mathrm{ft} \). Find the diameter. \( \begin{array}{l}\mathrm{x} \mathrm{ft}\end{array} \)

Diagonal AC of a parallelogram ABCD bisects \( \angle \mathrm{A} \) (see Fig. 8.11 ). Show that (i) it bisects \( \angle \mathrm{C} \) also, (ii) ABCD is a rhombus,