Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted down and shaped into a single new cube. The volume of the new cube is the sum of the
volumes of the three smaller cubes. (a) Find the length of the edge of the new cube. (b) Find the surface area of the new cube.

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

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation: