Answer:
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006
Completed question;
There were approximately 1.6 * 10^11 pieces of mall processed by the United States Postal
Service in 2012. This is about 75% of the number of pieces of mail processed in 2006.
Approximately how many pieces of mail were processed by the United States Postal Service in
2006
Step-by-step explanation:
Let x represent the number of mails processed in year 2006
Given;
Number of mails processed in 2012 N = 1.6 × 10^11
Number of mails processed in 2012 N is about 75% of the number of pieces of mail processed in 2006.
So;
N = 75% of x
N = 0.75x
x = N/0.75
x = (1.6 × 10^11)/0.75
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006
El cable experimenta un esfuerzo axial de 79577.472 pascales por el peso de la caja.
<h3>¿Cómo calcular el esfuerzo aplicado sobre el cable?</h3>
La caja tiene masa y está sometida a un campo gravitacional, por tanto, tiene un peso (W), en newtons. Por el principio de acción y reacción (tercera ley de Newton), encontramos que el cable es tensionado debido a ese peso y su área transversal experimenta un esfuerzo axial (σ), en pascales.
Asumiendo una distribución uniforme de la fuerza sobre toda la superficie transversal de la cuerda, tenemos que el esfuerzo axial se calcula mediante la siguiente expresión:
σ = W / (π · D² / 4)
Donde:
- W - Peso de la caja, en newtons.
- D - Diámetro del área transversal de la caja, en metros.
Si sabemos que W = 25 N y D = 0.02 m, entonces el esfuerzo axial aplicado a la cuerda es:
σ = 25 N / [π · (0.02 m)² / 4]
σ ≈ 79577.472 Pa
<h3>Observación</h3>
La falta de problemas verificados en español sobre esfuerzos axiales obliga a buscar uno equivalente en inglés.
Para aprender más sobre esfuerzos axiales: brainly.com/question/13683145
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Answer:
1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.
Step-by-step explanation:
From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same. This means that these three figures are congruent. Figure 2, however, is not congruent to any of the other 3.
5. y = x + 7
6. y = -x + 1