1. 0.00262 or 131/50000
2. 0.436 or 109/250
3. 0.00773 or 773/100000
4. 0.0565 or 113/2000
Answer:
5 ft/s
Step-by-step explanation:
Let L be the length of the ladder. The relation between the angle and distance X is:
X = L * sin θ the change of X will be:
dX/dt = L * cos θ If we evaluate the expression when θ = π/3, we get the change of X:
dX/dt = 10 * cos(π/3)
dX/dt = 5 ft/s
Answer:
4.5 pounds
Step-by-step explanation:
Convert them both to improper equations.
2 3/4 = 11/4
1 3/4 = 7/4
Then add.
11/4 + 7/4 = 18/4
Then simplify.
18/4 = 4 2/4 = 4.5
Answer:
33.18
Step-by-step explanation:
Use law of sines.
x / sin(65°) = 21 / sin(35°)
x = 21 sin(65°) / sin(35°)
x ≈ 33.18
5 odd numbers and 5 even numbers
since they can be repeated
5*5*5=first 3 digits
5*5*5=last 3 digits
in all
5*5*5*5*5*5=15625 ways