Calling x and y the two sizes of the rectangular field, the problem consists in finding the minimum values of x and y that give an area of

.
The area is the product between the two sizes:

(1)
While the perimeter is twice the sum of the two sizes:

(2)
From (1) we can write

and we can substitute it into (2):

To find the minimum value of the perimeter, we have to calculate its derivative and put it equal to zero:

The derivative of the perimeter is

If we require p'(x)=0, we find


And the other side is

This means that the dimensions that require the minimum amoutn of fencing are (424.26 m, 424.26 m), so it corresponds to a square field.
The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>.
The amount of Tritium that bottle contains now will be 439,421.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 - r)ˣ
Where x is the number of times this decay occurs, a = initial amount, and r = fraction by which this decay occurs.
Tritium is a radioactive isotope of hydrogen that rots by around 5% each year. An enormous container of water that contained 856,000 tritium iotas stayed undisturbed for a very long time.
Then the amount of Tritium that bottle contains now will be given as,
y = 856,000 (1 - 0.05)¹³
Simplify the equation, then we have
y = 856,000 (1 - 0.05)¹³
y = 856,000 (0.95)¹³
y = 856,000 (0.51334)
y = 439,421
The amount of Tritium that bottle contains now will be 439,421.
More about the exponent link is given below.
brainly.com/question/5497425
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Answer:
1 and 2/10
Step-by-step explanation: