The perimeter of a rectangle is 35 cm. The rectangle's area (in sq. cm) as a function of its length (in cm) is graphed. What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?

Options:
1: 10 1/3
2: 10 2/3
3: 11
4: 11 1/3

2

What is the extract trying to achieve? in The Explorer’s Daughter

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