Se necesita construir una caja con base cuadrada y sin tapa de una piéa cuadrada de carton. A esta pieza se le deben cortar 20 cm en cada esquina. Si la caja debe contener \( 32000 \mathrm{~cm}^{3} \). ¿de qué tamaño debe ser la pieza cuadrada de carton?

2 complementary angles have the sum of ............... \( 360^{\circ} \) B. \( 90^{\circ} \) C. \( 180^{\circ} \) D. \( 60^{\circ} \)

3] (a) If the distance between the point \( (a, 7) \) and the point \( (0,-5) \) equals 13 length units find the value of a

lunghezza della circonferenza di raggio maggiore? \[ [\approx 38,81 \mathrm{~m}] \] La somma dei raggi di due circonferenze misura 15 cm e uno è i \( \frac{2}{3} \) dell'altro. Determina la lunghez- za delle due circonferenze. \[ [12 \pi \mathrm{~cm} \approx 37,68 \mathrm{~cm} \text { e } 18 \pi \mathrm{~cm} \approx 56,52 \mathrm{~cm}] \]

47. The measure, in degrees, of each interior angle of a regular polygon with \( n \) sides is given by \( \frac{(n-2) \mid 80}{n} \). What is the sum of the measures of the interior angles of a regular octagon?

50. Ten distinct lines lie in the same plane. No pair of these lines is parallel to each other, and no more than two of the lines intersect at any one point. How many points lie on more than one of these ten lines? (A) 10 (B) 36 (C) 45 (D) 55 (E) 100