A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the whole window is 24 ft . give the area A of the window in square feet when the width is 5.5 ft . Give the answer to two decimal places. (a) What is the lenght of the semicircle top? (b) What is the length of the sides? (c) What is the area of the rectangle? (d) What is the area of the semicircle? (e) What is the area of the window?

Se sabe que el foco de una parábola se encuentra en el punto ( \( 57 ; 15 \) ) y que el vértice de la misma se encuentra en el punto ( \( 21 ; 15 \) ). Determinar la ecuación que representa la parábola y en base a ella calcular el valor de la coordenada " \( x \) " de un punto de la curva del que se sabe que su coordenada \( y=37 \).

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

A cylinder with a radius of 4 cm and a height of 9 cm has the same volume as a cone with a radius of 3 cm . What is the height of the cone? A. 12 cm B. 16 cm D. 36 cm D. 48 cm .

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, \( n \sqrt{m} \).

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. \( 4 r \)