The Pythagorean Theorem states that a² + b² = c², c being the hypotenuse.
Substitute known values into the equation.
7² + 2² = c²
49 + 4 = c²
c² = 53
c = √53
c = 7.28010989
Answer: The hypotenuse's length is 7.3 feet.
Answer
584.56714755 = 146
Step-by-step explanation:
584.567 is 4 times 146 ...
...and 4 can be written as 2 to the power 2.
So, the 4 can just be pulled outside of the radical sign, as a 2 ,
and the other factor, the 146 , just stays inside of the radical sign.



Stationary points occur where the derivative is zero. The denominator is positive for all

, so we only need to worry about the numerator.


for all

, so we can divide through:

But

for all

, so this function has no stationary points...
I suspect there may be a typo in the question.
Answer: Circle N had a translation of 1 unit right.
Step-by-step explanation:
Answer:
About 90.73 meters/min.
Step-by-step explanation:
Dimensional analysis is done by multiplying the wanted unit over the current unit in equal measure, or the other way around.
First, we will convert feet to meters, using that 1 ft = .4048 m.
32ft/6.45sec * .3048m/1ft = 32/6.45sec * .3048m = 9.7536m/6.45 sec.
Second, we convert seconds to minutes, using that 60 sec = 1 min.
9.7536m/6.45sec * 60sec/1min = 9.7536*60m/6.45min ≈ 90.7311627m/min.