Answer:
sqrt 50
Step-by-step explanation:
First of all this is a square so if AB = 5, then AD is also 5.
Let's get rid of the other triangle and only focus on triangle ABD.
Using Pythagorean theorem we are able to solve this problem.
The Pythagorean Theorem basically states that:
a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.
Substitute these numbers in: 5^2 + 5+2 = c^2
Solve: 50 = c^2
c= sqrt 50
^ and that is our answer!
Answer:
66π m²/s ≈ 207.3 m²/s
Step-by-step explanation:
The area is given by ...
A = πr²
and its rate of change is given by ...
A' = 2πr·r'
Filling in the given values, we have ...
A' = 2π(33 m)(1 m/2) = 66π m²/s ≈ 207.3 m²/s
The area of the spill is increasing at the rate of 66π m²/s ≈ 207.3 m²/s.
Listing out a few elements of the set of perfect squares, we get the following values
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...}
we can stop there because 82 is between 81 and 100
So if x^2 = 82, then x^2 is between 81 and 100 meaning
81 < x^2 < 100
apply the square root to all sides of the compound inequality and we get
9 < x < 10
So the square root of 81 is between 9 and 10
Answer: the value falls between 9 and 10
