The net of a square pyramid and its dimensions are shown.

what is the total surface area of the square pyramid in square feet?

Step-by-step explanation:

Total surface area of a square pyramid = area of the base + 4(area of a triangular face)

The base has a square shape = area of a square = L² = 7² = 49 ft²

area of each triangle = 1/2 × base × height

area of each triangle = 1/2 × 7 × 6

area of each triangle = 42/2

area of each triangle = 21 ft²

Area of the 4 triangle = 21 × 4 = 84 ft²

Total surface area of a square pyramid = 49 + 84 = 133 ft²

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