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vagabundo [1.1K]
3 years ago
8

Marco can swim at a speed of 45

Mathematics
2 answers:
Step2247 [10]3 years ago
6 0
(4.44) Hope this helps!
diamong [38]3 years ago
4 0
I hope this helps you

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A rectangular area is to be enclosed using an existing
Vesnalui [34]

Answer:

\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}

Step-by-step explanation:

Let the one of the side lengths of the rectangle be x and the other be y.

We can write the following equations, where x will be the side opposite to the wall:

x+2y=100,\\xy=\text{Area}

From the first equation, we can isolate x=100-2y and substitute into the second equation:

(100-2y)y=\text{Area},\\-2y^2+100=\text{Area}

Therefore, the parabola -2y^2+100y denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.

The x-coordinate of the vertex of a parabola in standard form ax^2+bx+c is given by \frac{-b}{2a}.

Therefore, the vertex is:

\frac{-100}{2(-2)}=\frac{100}{4}=25

Plug in x=25 to the equation to get the y-coordinate:

-2(25^2)+100(25)=\boxed{1,250}

Thus the vertex of the parabola is at (25, 1250). This tells us the following:

  • The maximum area occurs when one side (y) of the rectangle is equal to 25
  • The maximum area of the enclosure is 1,250 square meters
  • The other dimension, from x+2y=100, must be 50

And therefore, the desired answers are:

\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}

3 0
3 years ago
What is the area of the figure?<br> Enter your answer in the box.<br><br>  in²
Lubov Fominskaja [6]
First, we find the area of the triangle is 12 in. Square. Then, we find the area of the square is 100 square inches. Finally, we add it together to have 112 square inches.
6 0
3 years ago
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Estimate rounding the nearest ten, nearest tenth, and nearest one
Firdavs [7]
<span>The tenths place is to the right of the decimal point. Our rounded answer will stop at the tenths place. We use the hundredths place to help us determine the value that needs to be in the tenths place. If the value in the hundredths place is 5 or above "we give it a shove." If the value is four or below, "we let it go." In this example, the number is 6, which is "5 or above." So we give it a shove. This means that we round it up from 5 to 6.</span>
4 0
3 years ago
What is the answer to 4-4+4-5+5/1
MrMuchimi

Answer:

4

Step-by-step explanation:

5/1=5

4-4+4-5+5=4

4 0
3 years ago
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What is the sum of -15 and -8 increased by 20?
natta225 [31]
-15+-8
-15-8
-23+20
-3
This is your answer boiiii or giiirlll
6 0
3 years ago
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