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Alika [10]
3 years ago
5

A farmer wants to enclose a rectangular field along a river on three sides. If 4,800 feet of fencing is to be used, what dimensi

ons will maximize the enclosed area
Mathematics

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0
So hmmm, notice the picture below

the perimeter is just w + w + l or 2w+l

thus  \bf \textit{area of a rectangle}\\\\
A=lw\qquad 4800-2w=l\implies A(w)=(4800-2w)w
\\\\\\
A(w)=4800w-2w^2

take the derivative of A(w), then zero it out to get the critical points, and do a first-derivative test on the critical points for any maxima between 0 and 4800

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I need help asap. I don’t know how to do this
irga5000 [103]

Answer:

  10 in

Step-by-step explanation:

There are two ways to work this problem, and they give different answers. The reason for that is that <em>the data shown in the diagram is not consistent</em>.

<u>Method 1</u>

Use the area to determine the base length. The area formula is ...

  A = (1/2)bh

  20 in^2 = (1/2)(b)(4 in)

  (20 in^2)/(2 in) = b = 10 in

The missing side dimension is 10 inches.

__

<u>Method 2</u>

Use the Pythagorean theorem to find the parts of the base, then add them up.

Left of the "?" we have ...

  left^2 +4^ = 6^

  left^2 = 36 -16 = 20

  left = √20 = 2√5

Right of the "?" we have ...

  right^2 +4^2 = 8^2

  right^2 = 64 -16 = 48

  right = √48 = 4√3

So, the base length is ...

  base = left + right = 2√5 +4√3

  base ≈ 11.400 in

The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)

7 0
3 years ago
(02.06)A local store has a puppy that weighs 56 ounces. How many pounds does the puppy weigh, given that 1 pound = 16 ounces? (I
viktelen [127]
The answer should be 3.5 pounds. You divide 56 by 16 to get your answer
3 0
3 years ago
Find the equation of the line with slope 3/7 and that passes through the point (14, 0). Write your answer in the form y = mx + b
Allushta [10]

Answer:

y = 3/7x - 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 3/7

Point (14, 0)

<u>Step 2: Find y-intercept </u><em><u>b</u></em>

  1. Substitute:                    0 = 3/7(14) + b
  2. Multiply:                        0 = 6 + b
  3. Isolate <em>b</em>:                       -6 = b
  4. Rewrite:                         b = -6

<u>Step 3: Write linear equation</u>

y = 3/7x - 6

7 0
3 years ago
PLEASE HELP! BRAINLIEST!
balu736 [363]

Answer:

x=4

Step-by-step explanation:

We can find the length of RT by using the Pythagorean theorem

sin theta = opposite side/ hypotenuse

sin 60 = 2 sqrt(3)/ RT

Multiply each side by RT

RT sin 60 = 2 sqrt(3)

Divide by sin 60

RT = 2 sqrt(3)/ sin 60

RT = 4

Then

tan theta = opposite side/ adjacent side

tan 45 = x/RT

tan 45 = x/4

4 tan 45 = x

4 = x

6 0
3 years ago
Solve with explanation -4x+5&gt; - 5
Bezzdna [24]

Answer:

x < 2.5

Step-by-step explanation:

- 4x + 5 >  - 5 \\  - 4x >  - 5 - 5 \\  - 4x >  - 10 \\  \frac{ - 4x}{ - 4}  >  \frac{ - 10}{ - 4}  \\ x <  \frac{5}{2}  \\ x < 2.5

hope this helps

brainliest appreciated

good luck! have a nice day!

7 0
3 years ago
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