Answer:
442
Step-by-step explanation:
Números que suman 6:
3 + 2 + 1 = 6=> 3^2 + 2^2 + 1^2 = 9 + 4 + 1 = 14
4 + 3 - 1 = 6 => 4^2 + 3^2 + (-1)^2 = 16 + 9 + 1 = 26 => do not use negative numbers, because that will increase the other numbers.
5 + 1 + 0 = 6 => 5^2 + 1 + 0 = 25 + 1 + 0 = 26
4 + 2 + 0 = 4^2 + 2^2 + 0 = 16 + 4 = 20
When you use zero the you increase the sum of the squares.
Then the three numbers that yields the minimum sum of the squares is 1, 2 and 3.
Answer:
1. 32,
2. 160,
3. 5,
4. 5, and
5. 15.
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is
where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is
and dividing everything by 2 to simplify a bit:
. Upon analyzing that equation, it looks like we need values for x, y, 
, and 
. And here's what we were given:
and 
In the greater realm of things, that's nothing at all.
BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to
Find at the instant that = .5.
Solving for x and y:
and
6tan45 = x ( and since this is a 45-45-90 triangle, y = x):
so
and now we can fill in our derivative. Remember the derivative was found to be
so
and
and
and multiplying by the reciprocal of the left gives us:
so
Answer: water tower because it's a tower
