Considera las medidas del mapa 15 cm y 10 cm, al aplicar una reducción del 25% se obtienen las siguientes medidas: 11.25 cm y 7.5 cm, ¿Qué operación describe la reducción del mapa original 30 cm y 20 cm a la segunda reducción?

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

answer: c

step-by-step explanation

(x,y) it'll always be like that.

in this case x is grams and y is ounces.

if there were numbers there, like (5,3)

x would be 5 and y would be 3.

1.44 centimeters is the correct answer