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babunello [35]
3 years ago
13

Among all the rectangles whose perimeters are 100 feet, find the dimensions of the one with the maximum area. explain step by st

ep.
Mathematics
1 answer:
kompoz [17]3 years ago
7 0
<span>We let x be the length and y be the width of the rectangle. Then,
 
Perimeter = 2x + 2y
100 = 2x + 2y
50 = x + y
y = 50 - x
 
Area = xy
A = x(50 - x)
A = 50x - x^2
 
We then take the derivative; set it equal to zero:
 
A ' = 50 - 2x
0 = 50 - 2x
2x = 50
x = 25
y = 50 - x
y = 50 - 25
y = 25
 
Therefore, the dimensions are 25 and 25.</span>
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Please help and EXPLAIN
creativ13 [48]
Okay, all of these pairs add up to 1 or 100%, except for one pair. I'll convert them all to decimals, so all must add up to 1.

3/8 = 0.375
0.625 + 0.375 = 1

62% = 0.62
0.38 + 0.62 = 1

7/8 = 0.875
0.875 + 0.125 = 1

70% = 0.70
1/3 <span>≈</span> 0.33
0.70 + 0.33 = 1.03

So the last pair of probabilities(70%, 1/3) does not belong with the other three because it does not add up to 1 like the others.
8 0
3 years ago
How to multiply 523 × 73
hichkok12 [17]
Line them up
3x3= 9, 3x2= 6, 3x5= 15

Add a 0 under the 9, 7x3= 21, leave the 1 and carry the 2, 7x2= 14+2= 16 leave the 6 and carry the 1, 7x5= 35+1= 36

9+0= 9, 6+1= 7, 5+6= 11 leave 1 carry 1, 1+6= 7+1= 8, 0+3= 3


523
x 73
———
1,569
+ 36,610
———
38,179

4 0
3 years ago
-x - 4y = 16 find value of y when x equals -8
pashok25 [27]
The answer is -2......
8 0
3 years ago
Read 2 more answers
Solve for k pls ! <br> extra letters for the question: whfjndnfnfn
makvit [3.9K]

Answer:

k=5

Step-by-step explanation:

hope this was helpful!! c:

8 0
3 years ago
At a bakery, Victor makes 20 cupcakes. He puts themin equal rows with 10 cupcakes in each row. Whichcalculation can be used to f
Anna [14]

Calculation = 20/10

Number of cupcakes Victor makes = 20

He puts them in equal rows:

Each row contains = 10 cupcakes

To know the number of rows he placed the 20 cupcakes,

we would divide 20 by 10

\begin{gathered} \text{Number of rows = }\frac{20}{10} \\ \text{number of rows = 2} \end{gathered}

Calculation = 20/10

The number of rows of cupcakes Victor makes = 2

4 0
1 year ago
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