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
Tanzania [10]
2 years ago
12

A rectangular field is to be enclosed by a fence and divided

Mathematics
1 answer:
Phantasy [73]2 years ago
5 0

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

You might be interested in
A book sold 39,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How
konstantin123 [22]
Hi there! So 39,300 copies of a book were sold on debut month of release, and that represents 6.3% of all copies sold to date. To find the total amount of copies sold, we can write and solve a proportion. Set it up like this:

39,300/x = 6.3/100

We set it up like this because 39,300 is part of the total amount, and it represents 6.3% of the total book sales. Percents are parts of 100, which is why 6.3 is above 100. Let's cross multiply the values. 39,300 * 100 is 3,930,000. 6.3 * x is 6.3x. that makes 3,930,000 = 6.3x. Divide each side by 6.3 to isolate the x. 6.3x/6.3 cancels out. 3,930,000/6.3 is 623,809.5238 or 623,810 when rounded to the nearest whole number. There. The total amount of copies sold to date is about 623,810.
8 0
3 years ago
FIND THE DIFFERENCE:(5a -7c)-(2a + 5c)<br><br> 7a - 2c<br> 3a - 12c<br> 7a + 12c
Eva8 [605]

Answer:

3a-12c

Step-by-step explanation:

(5a-7c)-(2a+5c)

5a-7c-2a-5c

(5a-2a)+(-7c-5c)

3a-12c

8 0
2 years ago
Read 2 more answers
What is 6 5/3 x 5 7/8 &lt; 42
Eddi Din [679]

Answer:

The left side 45.041¯645.0416‾ is not less than the right side 42 which means that the given statement is false.

3 0
3 years ago
Which measurement is closest to the measure of segment W Z?
noname [10]
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.

We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm

This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm

tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm

WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm

Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
6 0
3 years ago
Find the volume of the cylinder.
Georgia [21]
<h3>Answer:</h3><h3>Exact volume = 32pi</h3><h3>Approximate volume =  100.48</h3>

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

6 0
2 years ago
Other questions:
  • caleb draws 14 dogs on each of 4 posters he draws 18 cats on each of 6 other posters if he draws 5 more dogs on each poster how
    10·1 answer
  • Need answers for all of them 25 points
    6·1 answer
  • Simplify the expression: 2/3 divided by - {1/6 - 8/6}
    15·1 answer
  • From a group of 10 people, 5 are selected at random to participate in a game show. In how many ways can the 5 people be selected
    13·1 answer
  • In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?
    6·2 answers
  • Pls help.. .....................................................................................................................
    9·2 answers
  • Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)]
    5·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST PLEASE 20 POINTS
    6·1 answer
  • Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =<br> Plz help
    5·2 answers
  • How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!