Quadrilateral A’ B’ C’ D’ is the image of quadrilateral ABCD after it is rotated 270° counterclockwise about the origin, then translated 6 units to the left. The lengths of the 4 sides of quadrilateral ABCD are given in the table. In centimeters, what is the length of C’D’ ? 2.5 3.6 1.2 2.9

its a, i had the same answer, its from study island right

step-by-step explanation:

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