1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmainna [20.7K]
3 years ago
13

a rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATE

ST area such a rectangle can have? Please explain all steps written, there are parts such as 50W -W^2 and it ends up turning into the next part how?
Mathematics
1 answer:
Anna [14]3 years ago
7 0
If A=w(50-w)

A=50w-w^2

dA/dw=50-2w

d2A/dw2=-2

Since the acceleration is a constant negative, that means that when velocity, dA/dw=0, it is at an absolute maximum for A(w)...

dA/d2=0 only when 50=2w, w=25

So as the case with any rectangle, the perfect square will enclose the greatest area possible with respect to a given amount of material to enclose that area...

So the greatest area occurs when W=L=25 in this case:

A(25)=50w-w^2

Area maximum is thus:

Amax=50(25)-(25)^2=625 u^2
You might be interested in
Please help i will give brainly :
Lubov Fominskaja [6]

1) The x-axis represents the energy (E), in joules. The y-axis represents the amplitude (x), in milimeters.

2) The curve depicts an <em>monotonous decrecent</em> rate of change.

3) The amplitude is directly proportional to the root square of the energy.

<h3>How to analyze a graph relationship between two variables</h3>

In this question we have a relationship between two variables, in which we must apply principles of <em>functional</em> analysis to respond three questions presented in the statement.

Now we proceed to answer the three questions below:

  1. <em>What is on the x-axis? The y-axis?</em> R/ The x-axis represents the energy (E), in joules. The y-axis represents the amplitude (x), in milimeters.
  2. <em>How would you describe the rate of change of the line?</em> R/ The curve depicts an <em>monotonous decrecent</em> rate of change, that is, the slope converges to zero when the energy tends to infinite.
  3. <em>What does this tell you about the relationship between amplitude and energy?</em> R/ The curve show a strong similarity with a function of the form x = A\cdot \sqrt{E}. Hence, the amplitude is directly proportional to the root square of the energy.

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/12431044

5 0
1 year ago
The solution set to 6 + 2n &gt; 12 is n &gt; 3. Which are the correct representations of this solution? Select two options.
Alina [70]

The correct representation of 6 + 2n > 12 (n > 3) is  (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation::

6 + 2n > 12

Subtracting 6 from both sides:

6 + 2n - 6 > 12 - 6

2n > 6

Dividing by 2:

n > 3

The correct representation of 6 + 2n > 12 (n > 3) is  (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Parallelogram ABCD is transformed to create parallelogram A ' B 'C 'D '. Which shows the sequence of transformations needed to c
lesantik [10]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by the height. Explain to Jill
inna [77]

Answer:

Step-by-step explanation:

Jack's method is equivalent because of the "law of commutative property", which means that multiplication problems have the same result no matter the order.

2x5 is the same as 5x2

8 0
3 years ago
What information is necessary to prove the triangles congruent by SAS? ​
Ber [7]

Answer:

SAS requires two congruent sides and the included angle be also congruent

Given is the picture are congruent triangles

<u>ΔACB ≅ ΔECD, because:</u>

  • AC ≅ EC, given
  • BC ≅ DC, given
  • ∠ACB ≅ ∠ECD, vertical angles
5 0
2 years ago
Read 2 more answers
Other questions:
  • Could some one help me with this problem? 13 - 8.1 =
    7·2 answers
  • James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long
    5·1 answer
  • QUESTION 2 of 10: Your has lost an average of 5 % each year for the last three years. Your initial Investment \$25,000, . What i
    10·2 answers
  • The product of 25 and an unknown number is subtracted from 36. The result is -114.
    9·1 answer
  • Calculate 38% of 15.6
    5·2 answers
  • The school band is selling tickets for a chance to win an Ipad. Lucy bought 20 out of the 200 tickets sold. What percent chance
    6·2 answers
  • How many 2/3 -cup servings are in 6 cups of cereal?
    8·2 answers
  • Giving brainliest and thanks for best answer
    12·2 answers
  • HURRY PLSS HELP!!! will give brainliest for right answer!
    11·1 answer
  • What had the biggest effect on the earths orbit about the sun , explain.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!