In the following exercises, the two variables given vary directly with one another. Solve for the missing value. (a) p=12 when q=8 so p= ? when q=6 (b) y=21 when x=9 so y=? when x= -6 (c) z= -5 when w=2 so z=? when w=8

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars

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