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
serg [7]
3 years ago
11

Simon has a certain length of fencing to enclose a rectangular area. The function A models the rectangle's area (in square meter

s) as a function of its width (in meters).
Mathematics
2 answers:
ss7ja [257]3 years ago
8 0

Answer:

The maximum area is 1,600 square meters

Step-by-step explanation:

<u><em>The complete question is</em></u>

What is the maximum area possible?

The given function area is modeled by A(w)=-w(w-80)

we know that

The given function is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the width for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic function in vertex form

A(w)=-w(w-80)\\\\A(w)=-w^{2}+80w

Factor -1

A(w)=-(w^{2}-80w)

Complete the square

A(w)=-(w^{2}-80w+1,600)+1,600

Rewrite as perfect squares

A(w)=-(w-40)^{2}+1,600 ----> function in vertex form

The vertex is the point (40,1,600)

therefore

The maximum area is 1,600 square meters

GREYUIT [131]3 years ago
3 0

Answer:

When there is no width the area is 0m^2

Step-by-step explanation:

I took the quiz.

You might be interested in
Find the cost for junior tickets
Marat540 [252]

what is the cost for? ik it's for juniors but what is the topic

4 0
3 years ago
Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students al
geniusboy [140]

Answer:

8$

Step-by-step explanation:

4 students contribute 12$ Each.

So, total amount becomes 12 x 4 = 48$

If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$

8 0
2 years ago
A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 150 li
Anika [276]

Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

N(B) = 204

N(C) = 206

N(A∩B) = 75

N(A∩C) = 100

N(B∩C) = 98

N(A∩B∩C) = 38

N(Total) = 500

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

6 0
3 years ago
.............................................................................................
Lady_Fox [76]

Answer:.............................................................................................

Step-by-step explanation:

.............................................................................................

5 0
3 years ago
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?
Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

A = \pi r^2

where r = radius of the circle

The area of a sector of a circle is given as:

A_s = \frac{\alpha }{2\pi} * \pi r^2

where α = central angle in radians

Since \pi r^2 is the area of a circle, A, this implies that:

A_s = \frac{\alpha }{360}  * A

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi

The area of the circle is 36π.

5 0
2 years ago
Read 2 more answers
Other questions:
  • 14. What is 12/3 as an improper fraction?
    9·1 answer
  • According to the graph what is the value of the constant in the equation below
    12·1 answer
  • John borrows $2,500 from his dad, who feels it is best to charge him interest. Six months later,
    8·2 answers
  • Find the median of the data in this set.<br> 6<br> 8<br> 8.5<br> 11
    7·2 answers
  • Write all the factors of the number below. Use commas to separate them <br><br> 24
    13·1 answer
  • Pls some answer this for me​
    11·1 answer
  • (50 POINTS) (PLEASE ANSWER THE QUESTION, NOT JUST TRY AND TAKE MY POINTS, I NEED HELP ON THIS SO DO NOT ANSWER IF YOU DO NOT KNO
    10·1 answer
  • Helppp i will mark brainliest &lt;3
    6·1 answer
  • HELLPPPP LIKE ASAP PLEASE!! Each of these numbers represents the score that a student got on a set of math tests. What is the me
    14·2 answers
  • Help me for brainlistt
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!