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netineya [11]
3 years ago
10

Al oeste de Albuquerque, Nuevo México, la carretera 40 con rumbo al este es recta y tiene una fuerte pendiente hacia la ciudad.

La carretera tiene una rasante del 6%, lo cual quiere decir que su pendiente es -100 Al manejar por esta carretera usted puede ver por los señalamientos que ha bajado 1000 pies. ¿Cuál es el cambio en la distancia horizontal?
Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Usando el concepto de pendiente, se encuentra que el cambio en la distancia horizontal es de 10 pies.

La pendiente de una reta es la <u>razón entre el cambio vertical y el cambio horizontal,</u> o sea, cual el cambio vertical cuando el cambio horizontal es de 1.

En este problema, hay que:

  • La pendiente es -100, o sea, cuando hay un desplazamiento de un pie por adelante, hay una queda de 100 pies.
  • Bajado 1000 pies, entonces, aplicando la proporción:

1 pie H -> -100 pies V

x pie H -> -1000 pies V

Aplicando la multiplicación cruzada:

-100x = -1000

100x = 1000

x = \frac{1000}{100}

x = 10

El cambio en la distancia horizontal es de 10 pies.

Un problema similar es dado en brainly.com/question/24766917

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Explanation:
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Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Ksivusya [100]

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = \sqrt{16} = 4

4 0
3 years ago
I got 47.01816163 metres. When I tried to round it I got it wrong. Can someone please help me?
DerKrebs [107]

Answer:

28 m

Step-by-step explanation:

The top angle in the triangle = 90° - 62° = 28°

Using the cosine ratio in the right triangle

cos28° = \frac{adjacent}{hypotenuse} = \frac{25}{x}

cross- multiply

x × cos28° = 25 ( divide both sides by cos28° )

x = \frac{25}{cos28} = 28.31425... ≈ 28 m

Thus the distance from the top to the crocodile is 28 m

6 0
3 years ago
Read 2 more answers
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