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faltersainse [42]
3 years ago
10

Use the Pythagorean theorem to solve this problem. William walks 3.0 miles south and then turns and walks 4.0 miles west. What i

s his displacement?
5.0 miles, southwest
12.0 miles, southwest
7.0 miles, southwest
1.0 mile, southwest
Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0
Since south and west are at 90 degree angle that means we can use pythagorean theorem to find the distance.

It goes like this:
c^2 = a^2 + b^2

a = 3
b = 4

implementing this in pythagoras formula we get that c = 5

answer is 5 miles southwest
bulgar [2K]3 years ago
5 0

Answer:

it is 5 miles south west

Step-by-step explanation:

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Answer:

Falso.

Step-by-step explanation:

Acá tenemos la proposición:

"En una multiplicación, si un factor es un número natural y el otro es un número entero negativo, el producto es siempre menor que cada uno de los factores."

Primero tratemos de demostrar que esto es falso, para ello debemos encontrar un solo ejemplo en el que la proposición sea falsa.

Elijamos al número 1 como el número natural,

Elijamos -10 como el número entero negativo.

El producto es:

1*-10 = -10

Ahora veamos si el producto es menor que cada uno de los factores.

-10 < 1 ?

Si, -10 es menor que 1.

Ahora veamos con el otro factor:

-10 < - 10?

No, un número no puede ser menor que si mismo.

Entonces el producto no siempre es menor que cada uno de los factores.

Entonces la proposición es falsa.

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