Albert and Belle are part of a scientific team studying thunderclouds. The team is about to launch a weather balloon into an active part of a cloud. Albert's rop is 7.8 m long and makes an angle of \( 36^{\circ} \) with the ground. Belle's rope is 5.9 m long. Draw a diagram to illustrate this problem.

Sketch the graph of the following circle. \( x^{2}+(y-4)^{2}=25 \) (a) Find the center of the circle. (b) Find the radius of the circle. (c) Graph the circle.

Write the equation of the ellipse \( 9 x^{2}+25 y^{2}-72 x-250 y+544=0 \) in standard form \[ \begin{array}{l}\qquad \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1 \\ \mathrm{~h}=\square \\ \mathrm{k}=\square \\ \mathrm{a}=\square \\ \mathrm{b}=\square\end{array} \]

Find the focus, directrix, vertex and axis of symmetry for the parabola Focus \( =\square \) Directrix \( =\square \) Vertex \( =\square \)

*14. Find the a area and \( \mathbf{b} \) the circumference of a circle that has a diameter of 40 cm . Use 3.14 for \( \pi \).

Sketch the graph of the following circle. \( x^{2}+(y-4)^{2}=25 \) (a) Find the center of the circle. (b) Find the radius of the circle. (c) Graph the circle. (a) Find the center of the circle. (Type an ordered pair.) (b) Find the radius of the circle. (Type an integer or a decimal.) (c) Graph the circle. Use the graphing tool to graph the