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1 year ago

Find the length indicated

Mathematics

2 answers:

Komok [63]1 year ago

7 0

Answer:

Step-by-step explanation:

8 + 15 = 23 is the solution

zhannawk [14.2K]1 year ago

3 0

Answer:

Step-by-step explanation:

if you have 8 apples in a box, and then you put 15 additional apples into the box - how many apples are in the box ?

you see that is the same problem as the symbolized scenario with 2 lines being connected.

you have a string (e.g. for a kite) of 8 meters. and then you tie another string of 15 meters to it - how long is the new combined string ?

you really need help with that ?

8 + 15 = 23

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Answer: 3

Step-by-step explanation:

1. 2²=4

2. 4*5=20

3. 180/20=9

4. √9=3

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Answer:

Step-by-step explanation:

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3 years ago

Among all rectangles that have a perimeter of 182, find the dimensions of the one whose area is largest.

Evgen [1.6K]

Answer:

<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>

Step-by-step explanation:

<u>Maximization Using Derivatives</u>

The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.

Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:

$A=x.y$

And the perimeter is

$P=2x+2y$

We know the perimeter is 182, thus

$2x+2y=182$

Simplifying

$x+y=91$

Solving for y

$y=91-x$

The area is

$A=x.(91-x)=91x-x^2$

Taking the derivative:

$A'=91-2x$

Equating to 0

$91-2x=0$

Solving

$x=91/2=45.5$

Finding y

$y=91-x=45.5$

The largest rectangle of perimeter 182 is a square of side 45.5

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3 years ago