The perimeter of a rectangle is 66 feet. Find its dimensions assuming that its length is 9 feet less than twice its width.
1 answer:
Answer:
Length = 19 feet
Width = 14 feet
Explanation:
The perimeter, P, of a rectangle is given by
where l is the length and w is the width.
From the question, the length is 9 feet less than twice the width.
Substitute this in the equation for the perimeter.
Substitute for this in the equation for l.
Hence, the length is 19 feet and the width is 14 feet.
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Answer:
The average acceleration is 16.6 m/s² ⇒ 1st answer
Explanation:
A rocket achieves a lift-off velocity of 500.0 m/s from rest in
30.0 seconds
The given is:
→ The initial velocity = 0
→ The final velocity = 500 meters per seconds
→ The time is 30 seconds
Acceleration is the rate of change of velocity of the rocket
→
where a is the acceleration, v is the final velocity, u is the initial velocity
and t is the time
→ u = 0 , v = 500 m/s , t = 30 s
Substitute these values in the rule
→ m/s²
<em>The average acceleration is 16.6 m/s²</em>
Answer:
K = 588.3 N/m
Explanation:
From a forces diagram, and knowing that for the maximum value of K, the crate will try to rebound back up (Friction force will point downward):
Fe - Ff - W*sin(22) = 0 Replacing Fe = K*X and then solving for X:
By conservation of energy:
Replacing our previous value for X and solving the equation for K, we get maximum value to prevent the crate from rebound:
K = 588.3 N/m
