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lana66690 [7]
4 years ago
10

A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the farmer plans to plant 250 new trees. Ass

uming all the trees from one year live into the next, which explicit formula below can be used to determine the total number of orange trees, an, on this farm at the end of the nth year.
Mathematics
1 answer:
lawyer [7]4 years ago
5 0

Answer:

y=250x+2000

Step-by-step explanation:

The farmer starts with 2000 trees and adds 250 each year.

Year 0   2000

Year 1   2000 + 250 = 2000+ 1(250)

Year 2   2000 + 250 +250 = 2000 + 2(250)

Year 3   2000 + 250 + 250 + 250 = 2000 + 3(250)

Year 4   2000 + 250 + 250 + 250 + 250 = 2000 + 4 (250)

.....

Year X   2000 + 250x

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q-(-5)=x

X=q+5

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Alexxx [7]

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(x,y) -->(x - 8, y + 4)

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Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
enot [183]

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

6 0
4 years ago
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