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Dafna11 [192]
3 years ago
9

A 85 inch piece of pipe is cut into three pieces, so that the second

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

<h2>1.  14 in</h2><h2>2. 28 in.</h2><h2>3. 43 in</h2>

Step-by-step explanation:

   x          2x                        3x + 1

|---------|-------------------|---------------------------|

|<-------------------- 85 in ------------------------>|

85 = x + 2x + 3x + 1

85 - 1 = 6x

x = 84 / 6

x = 14

1st piece                   = 14 in

2nd piece = 2(14)     = 28 in

3rd piece = 3(14) + 1 = 43 in

                   ----------------------------

total                          =  85 in

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3/8×8

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Answer:

Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.

En este caso tenemos los porcentajes 20%, 50%, 10%  (notar que no suman 100%, entonces nos falta algún porcentaje)

Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.

Y en un círculo, tenemos un ángulo de 360°

Entonces comenzamos con la equivalencia:

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Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:

x = 50%

Si tomamos el cociente entre las ecuaciones:

x = 50% y  360° = 100%

obtenemos:

x/360° = 50%/100%

resolviendo para x, obtenemos:

x = (50%/100%)*360° = 0.5*360° = 180°

Para los otros porcentajes hacemos lo mismo.

Para el de 20% tenemos:

y = 20%

planteamos la ecuación:

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Finalmente, para el de 10% tendremos:

z = 10%

planteando la ecuación como antes:

z/360° = 10%/100%

z = 0.1*360 = 36°

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