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great british baking show seasons - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Un círculo tiene un radio de 5 unidades. Se dibuja una cuerda a 3 unidades del centro. ¿Cuál es la longitud de la cuerda?

📌 La cuerda forma un triángulo rectángulo con el radio. La mitad de la cuerda, la distancia desde el centro a la cuerda y el radio se encuentran en un triángulo rectángulo, donde la hipotenusa es 5 y una pata es 3. Usando el teorema de Pitágoras: 5^2 = 3^2 + (media cuerda)^2.

📌 Por lo tanto, (media cuerda)^2 = 25 - 9 = 16, por lo que la media cuerda es 4 unidades. La longitud total de la cuerda es 2 * 4 = 8 unidades.

📌 Un cilindro tiene un volumen de 300π unidades cúbicas y una altura de 10 unidades. ¿Cuál es el radio de su base?

📌 La fórmula del volumen para un cilindro es V = πr^2h. Dado V = 300π, h = 10, resolver para r da: 300π = πr^2 * 10.

📌 Simplificando, 300 = 10r^2, por lo que r^2 = 30 y r = √30 unidades.

📌 La suma de dos números es 25 y su diferencia es 5. ¿Cuáles son los dos números?

📌 Sean los números x e y. x + y = 25 y x - y = 5. Sumando estas ecuaciones: 2x = 30, por lo que x = 15.

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