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
Stells [14]
3 years ago
12

Preston wants to create a garden that backs up to an existing fence in his yard. He won't need to enclose the garden with fencin

g and he only has 85 feet of fencing available. What was the largest dimensions of the garden be if you could encloses the three sides of the garden and use the existing fence as the fourth side? If necessary, round answer to the nearest tenth.
Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

  42.5 ft by 21.3 ft

Step-by-step explanation:

The largest area is obtained when half the available fence is used parallel to the existing fence, and the other half is used to fence the two ends of the rectangle. Here, that means the dimension parallel to the existing fence is ...

  (85 ft)/2 = 42.5 ft

and the ends of the rectangular garden are ...

  (42.5 ft)/2 = 21.25 ft ≈ 21.3 ft

_____

You can figure this as follows:

Let x represent the length of fence parallel to the existing fence. Then the other dimension of the fenced area is (85 -x)/2 and the fenced area is the product of these dimensions.

  area = x(85-x)/2

This expression describes a downward-opening parabola with zeros at x=0 and at x=85. The vertex (maximum) will be found where x is halfway between these values, at x = (0 +85)/2 = 42.5.

Area is maximized when 42.5 ft of fencing is used parallel to the existing fence, and the other half of the fencing is used for the other two sides of the enclosure.

You might be interested in
How do i do this? Its confusing
cestrela7 [59]

Answer:

$12,415.48

Step-by-step explanation:

A = P (1 + r/n)^(nt)

where A is the final amount,

P is the initial amount,

r is the annual interest rate as a decimal,

n is the number of compoundings per year,

and t is the number of years.

A = 8000 (1 + 0.152/2)^(2×3)

A = 8000 (1.076)^6

A = 12415.48

5 0
3 years ago
I NEED HELP ASAP!! WILL GET 15 POINTS FOR THE CORRECT ANSWER!!!
Elanso [62]
All real numbers such that y is greater than 3/17 or y>3/17. Hope this helps!!!!

7 0
3 years ago
What are the missing angle measures in triangle ABC?
Finger [1]

we know that

In the right triangle ABC

∠A+∠B=90 ------> by complementary angles

so

Step 1

Find the measure of angle B

we know that

tan\  B=\frac{opposite\  side\  angle\  B}{adjacent\  side\  angle\  B}

in this problem

opposite\  side\  angle\  B=7in\\ adjacent\  side\  angle\  B=5in

so

tan\  B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees

Step 2

Find the measure of angle A

A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees

therefore

the answer is the option

35.5° and 54.5°




5 0
3 years ago
Read 2 more answers
Please help. thank you :)
Zina [86]

Answer:A

Step-by-step explanation: your answer is A

5 0
3 years ago
Which expression is equivalent to 16^2 − 36? (Explain)
seropon [69]

Answer:

4(2x-3)(2x + 3)

Step-by-step explanation:

Here, we want to simplify the given expression

we can have;

16x^2-36

= 4(4x^2 -9)

we can use the difference of two squares

where;

a^2 - b^2 = (a-b)(a + b)

= 4(2x-3)(2x+ 3)

6 0
2 years ago
Other questions:
  • Assignment
    6·1 answer
  • 2/3 less, greater or equal than 7/8
    11·2 answers
  • How can we check the binomial factors to verify that they are truly factors? Are the factors (x + 5)(x – 8) truly factors of x2
    14·2 answers
  • C.6<br> 12. Expand &amp; simplify:<br> (x - 5)(x-4)
    12·1 answer
  • Please answer this and I’ll make you Brainly only if it’s right
    10·2 answers
  • Over the summer, for every 11 okra seeds Dana planted, 6 grew into plants. If he planted 110 okra seeds, how many grew into plan
    13·1 answer
  • Can a object that measures 1.8 metres by 1.2 metres fit in a gap that measure 1 metre by 0.75 metres
    7·1 answer
  • During a basketball practice, Steph Curry made 234 three point shots in 45 minutes,
    6·1 answer
  • A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 35 on the left edg
    8·2 answers
  • Label ABC with the following information.<br> AB = 35<br> AC = 62<br> Find m/c.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!