The two positive numbers satisfying the given requirements are 15.56 and 15.56
For given question,
Let x and y be two positive numbers satisfying the given requirements.
⇒ xy = 242 .............(1)
The sum of given two positive numbers is a minimum.
Let the sum of given two positive numbers is S.
⇒ x + y = S ............(2)
From equation(1),
⇒ y = 242/x
Substitute above value of y in equation (2),
⇒ x + y = S
⇒ S = x + (242 / x)
Now, for above equation we find the derivative of x with respect to x.
⇒ 0 = 1 - ![\frac{242}{x^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B242%7D%7Bx%5E%7B2%7D%20%7D)
⇒ 242/x² = 1
⇒ x² = 242
⇒ x = ±15.56
Since the numbers are positive, x = 15.56
For x = 15.56
⇒ y = 15.56
Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56
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Answer:
Step-by-step explanation:
- 9 : 99 = divide both numbers by 9
- 1 : 11
Answer:
151.62
Step-by-step explanation:
You just have to multiply the lengths of all the edges:
9 1/2 * 4 1/5 * 3 4/5 =
151.62