Answer:
b=2
Step-by-step explanation:
Get rid of the parenthesis using distributive property:
6b+12+12b+6=54
Simplify
18b+18=54
subtract 18 from both sides
18b=36
divide by 18 on both sides
b=2
Its alright dude just gotta work hard and study i know you can do it
Answer:
Volume = 18 * pi in^3 OR IF pi=3.14 THEN Volume = 56.52 in^3
Step-by-step explanation:
Volume = Area(circle) * Height
Volume = pi*(diameter/2)^2 *Height
Volume = pi* 2.25 * 8
Volume = 18 * pi in^3
And if pi=3.14 then:
Volume = 56.52 in^3
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
