Theo has a rectangular space on his wall where he would like to put a small TV. He finds the perfect TV that measures 28.5 inches wide and 16 inches tall. His friend wants to know the diagonal size of his new TV. Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch? 24 inches b.) 45 inches c.) 33 inches d.) 22 inches

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

Si el volumen de una esfera es \(\frac{4}{3}\pi r^{3}\), encuentra el valor del radio si el volumen es igual a 288\(\pi\) centímetros cúbicos.

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

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

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