Find the lateral surface area and total surface area of the cone that has a radius of 15 ft , slant height of 17 ft , and height of 8 ft .

\[ g: \vec{x}=\left(\begin{array}{l}3 \\ 1 \\ 4\end{array}\right)+t\left(\begin{array}{c}2 \\ -7 \\ 5\end{array}\right) \quad h: \vec{x}=\left(\begin{array}{c}5 \\ -6 \\ 9\end{array}\right)+k\left(\begin{array}{l}1 \\ 1 \\ 1\end{array}\right) \] (1) Zeigen Sie, das die Geraden sich schneiden. (2) Geben Sie den Schnittpunkt an. (3) Prüfen Sie, ob sie senkrecht aufeinander stehen. b) Formulieren Sie in mathematischer Schreibweise mithilfe des

Circle \( P \) has a radius of \( r \) and circle \( Q \) has a radius twice as large. How many times greater is the area of circle \( Q \) than the area of circle \( P \) ? A. 2 B. \( 2 r \) C. 4 D. \( 4 r \)

WJEC June 2017 Q6 The coordinates of the points \( F \) and \( G \) are \( (8,20) \) and \( (-4,10) \) respectively. (a) Calculate the length of the line FG. Express your answer as a surd in its simplest form, \( n \sqrt{m} \).

555. Длина прямоугольника \( 7 \frac{3}{5} \) см. Его периметр равен периме квадрата со стороной 6 см. Найдите ширину прямоуго ника.

Find the equation of the straight line perpendicular to FG that passes through the mid point of \( F G \). Express your answer in the form \( a x+b y+c=0 \), where \( a, b \) and \( c \) are integers. Give your answer in its simplest form.