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
umka2103 [35]
3 years ago
5

A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

s not need any fencing.
What dimensions would guarantee that the garden has the greatest possible area?

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

9514 1404 393

Answer:

  • 160 ft (out from the river)
  • 320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

  A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.

You might be interested in
The weight of a mandarin orange is about 6 ounces. A basket that weighs 4 ounces will hold m mandarin oranges, the total weight
trasher [3.6K]

Answer:

4 + 6m = 70

Step-by-step explanation:

4 is the basket

6m is the total weight of mandarins

70 is total weight

7 0
3 years ago
Which graph shows a dilation? On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (ne
allochka39001 [22]

Answer:

its D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Rewrite this radicand as two factors, one of which is a perfect square. √60
Sphinxa [80]

Answer:

√4 * √15.

Step-by-step explanation:

√60

=√(4 * 15)

= √4 * √15

5 0
3 years ago
Read 2 more answers
39 is what percent of 156
Romashka-Z-Leto [24]
39 is 25% of 156. 
Work: 156 x 0.25 = 39 which means that 25% of 156 is 39.

Hope this helps and please mark as brainliest!
8 0
3 years ago
Show how you can determine that the inscribed figure inside a quadrilateral is a parallelogram. Support your argument with diagr
denis23 [38]

Answer:

Look for perpendicular lines or corresponding angles or alternate interior angles.

Step-by-step explanation:

When you want to show that a quadrilateral is a parallelogram you need to show that the oposite sides are parallel. In order to show that two segments are parallel there are various theorems and definitions you can use.

1 -  Remember that two lines perpendicular to the same segment are parallel.

2 - When two lines are cut by a secant and their alternate interior angles are congruent, then the resulting lines are parallel, I will attach a drawing to illustrate what I am saying.

3 - When two lines are cut by a secant and their CORRESPONDING angles are congruent, then the resulting lines are parallel, I will also attach a drawing to illustrate what I am saying.

6 0
3 years ago
Other questions:
  • Write 84.8 in words. please and thank you.
    14·2 answers
  • I dont know how to answer this question please help me
    13·1 answer
  • He meaning of the decimal representation of a number
    7·1 answer
  • What is 1.08 as a mixed number
    13·1 answer
  • Solve for n. You must write your answer in fully simplified form.<br> 12 = 15n
    7·2 answers
  • Please can someone give me a answer of number 1 and 2 and explain by showing how to do it. Thank you
    8·1 answer
  • If the pattern below follows the rules starting with 10 every consecutive line has a number one less than previous line how many
    13·1 answer
  • (09.07 LC) In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known
    13·1 answer
  • What is the answer to that
    11·1 answer
  • Solve for the missing side length for the triangle below
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!