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Levart [38]
2 years ago
7

7. Un avión que sobre vuela el espacio aéreo del aeropuerto Olaya Herrera de Medellín, a una distancia constante de 3 km de la t

orre al aeropuerto, ¿Cuál es el lugar geométrico del trayecto que describe el avión en estar sobre vuelo circular con respecto a la torre de control?
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
4 0

Answer:

La ecuación de la trayectoria circular del avión es x² + y² = 9

Step-by-step explanation:

La forma general de la ecuación de un círculo se da como sigue;

(x - h)² + (y - k)² = r²

Dónde;

(h, k) = El centro del círculo

r = El radio del círculo

Dado que la distancia del avión a la torre es constante, tenemos la trayectoria del avión = trayectoria circular

El radio, r de la trayectoria circular = 3 km

Por lo que la trayectoria circular del avión se va a definir con respecto a la torre de control, tenemos;

El centro de la trayectoria circular del avión = La torre

Las coordenadas del centro de la trayectoria circular = (0, 0)

Por lo tanto, (h, k) = (0, 0)

Sustituyendo los valores conocidos, la ecuación de la trayectoria circular del avión se convierte en;

(x - h)² + (y - k)² = r² → (x - 0)² + (y - 0)² = r² = x² + y² = 3² = 9

La ecuación de la trayectoria circular del avión. = x² + y² = 9

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Andru [333]

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

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x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

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2 years ago
If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi
Elanso [62]
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3 years ago
A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 245 ounces of a mixture
sesenic [268]

Answer:

140 ounces of water and 105 ounces of 35% salt solution.

Explanation:

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35% of  x is the salt, and since no salt is added with addition of y  liters of water, this must be equal to the amount of salt in the final 15% solution:

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we solve for  x and get:

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How do you do this question?
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Otrada [13]

Answer:

X=the smaller

y=the larger

The bigger of two numbers is four more than the smaller, then:

y=x+4

one more than twice the smaller is the same as the larger, then

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