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
zhannawk [14.2K]
3 years ago
10

An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000 m2 find th

e dimensions of the garden
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

For this case, the first thing we must do is define variables.

We have then:

x: length of the garden

y: width of the garden

The garden area is:

xy = 5000

The perimeter of the garden is:

2x + 2y = 300

Rewriting the perimeter:

x + y = 150

y = 150-x

Substituting in the area we have:

x (150-x) = 5000

150x-x ^ 2 = 5000

Completing squares:

x ^ 2-150x = -5000

x ^ 2-150x + (- 75) ^ 2 = -5000 + (- 75) ^ 2

(x-75) ^ 2 = 625

We discard the negative root:

(x-75) = \sqrt{625}

(x-75) = 25

x = 25 + 75

x = 100

Then, the other dimension is:

y = 150-x

y = 150-100

y = 50

Answer:

The dimensions of the garden are:

x = 100

y = 50

You might be interested in
A company hauls its 1 cubic foot boxes in the truck as shown.
Alenkinab [10]

Answer:

96

Step-by-step explanation:

3*4*8=96

4 0
3 years ago
Read 2 more answers
Guests arrive in groups of three to a party. 5 people leave the party early. If y is the number of people left at the party, and
Scrat [10]

Answer:

1, 3, 4, and 10

Step-by-step explanation:

To get a y value, substitute the x value into the equation they gave you (y = 3x - 5). For the x value 2:

y = 3(2) - 5

y = 6 - 5

y = 1.

To get a missing x value, solve for x in the equation they gave you. You were given the y value, so you can substitute that into the equation.

(4) = 3x - 5

Add 5 to both sides

9 = 3x

Divide both sides by 3

3 = x

Do the same with 7

(7) = 3x - 5

Add 5

12 = 3x

Divide by 3

4 = x

For the last one, you're given x so substitute it into the equation:

y = 3(5) - 5

y = 15 - 5

y = 10

4 0
3 years ago
Help me please<br> Determine the ratio for COS C in the picture below
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Cos=opposite/hypotenuse

Cos C=32/40   or 4:5

Cos C=0.8

7 0
3 years ago
I need help!!!!!!! I will give brainliest!!!!
s2008m [1.1K]

Answer:

You would need to know the area and the base so then

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write a scenario that could work for the following line of best fit: y = 0.2x + 7.6. Explain the slope and intercept in this con
Ipatiy [6.2K]
In this question we know what the “y-intercept is,so if we go to our graph we can easily just plot the point 7.6 on the y axis of a number line. It also gives you the slope in decimal form so we would want to convert that from 0.2 to 1/5. And remember the slope is how many places you move to get to the next point on the number line. So from the point 7.6 we would move up 1 over 5 to the right because it is a positive number. Your line should run across the upper segment of the number line and your line should make a 20 to 30 degree angle shift
4 0
4 years ago
Other questions:
  • Pls somebody help with this
    13·2 answers
  • ? M/S = 7.2 km/h ------ PLEASE HELP
    14·1 answer
  • PLZ HELP ME!!!!!!!!!!!!!
    10·1 answer
  • Sally’s house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at
    5·2 answers
  • The triangle below are drawn on 1-cm dot paper. find the perimeter of each triangle
    6·1 answer
  • Can someone help me it's hard doing math in 9th grade
    13·1 answer
  • Is this statement true or false?
    12·1 answer
  • Geometry// please help!
    11·2 answers
  • 17. Matt sees a video game originally priced at $36. The game is on sale for 25% off. What is the sale price of
    8·2 answers
  • 5(2y−3)−4y=8−2y−15<br> Justify this please
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!