Find the area.
6 cm
3 cm
3 cm
square centimeters

Step-by-step explanation:

use the area of trapezoid:

A = h/2 (b₁ + b₂)

where h = 3 cm

         b₁ = 6 cm

         b2 = 3 cm

plugin values into the formula:

A = 3/2 (6 + 3)

A = 13.5 cm²

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.

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