Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.
Pythagoras theorem,
--->(1)
Given,
at x=3
Put x=3 in Pythagoras theorem equation (1)


= 135
y = 11.61
Derive equation (1) w.r.t to 't'
---->(2)
substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall
12 + 23.22
= 0


Hence, using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Learn more about Pythagoras theorem here
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The difference is 
Explanation:
The expression is 
Removing the parenthesis, we have,

Factoring the terms
and
, we get,

Taking LCM, we get,

Simplifying the numerator, we get,

Subtracting the numerator, we have,

Hence, the difference is 
Answer: 14.1%
Step-by-step explanation:
Number of T-shirts shipped = 2800
Number of T-shirts that have a defect = 396
Therefore, the experimental probability that a T-shirt has a defect will be:
= Defect T-shirts / Total T-shirts × 100
= 396 / 2800 × 100
= 14.1%
Answer:
7 hr * 12 days = 84 hours
10*84 = 840 man-hrs to build the wall
----
14 men * 8 hr = 112 man-hrs/day
840/112 = 7.5 days
Step-by-step explanation: