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
julia-pushkina [17]
3 years ago
11

One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an

d requires no fencing. The longer side is parallel to the barn. If the length of the longer side of the rectangle is twice the width, what are the dimensions of the garden

Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.  

You might be interested in
The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The
dangina [55]

Answer:

The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

Step-by-step explanation:

Let <em>X</em> represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.

The monitoring equipment reveals that for the 28 days of the February month

Mean daily discharge per factory, (\bar x) = 30.2 tons

Standard deviation daily discharge per factory, (<em>s</em>) = 9.1 tons

Compute the critical value of <em>t</em> for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:

t_{0.05/2, 27}=2.052

*Use a t-table.

Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}

     =30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)

Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

4 0
3 years ago
Subtract (8k-3)-(7k)
yulyashka [42]

Answer:

k - 3

Step-by-step explanation:

In this expression, only 8k and 7k can be subtracted. This is because they have the same variable, meaning they are "like terms".

8k - 7k - 3 = 1k - 3

5 0
3 years ago
Read 2 more answers
If a diameter of a circle has endpoints (-3,5) and<br> (5, 7), then the center of the circle is
zavuch27 [327]

Answer:

(1 , 6)

Step-by-step explanation:

the center of the circle is the midpoint of the diameter

Which is the point of coordinates:

(\frac{-3+5}{2} ,\frac{5+7}{2} )

Then the center is the point :

(1 , 6)

6 0
2 years ago
Read 2 more answers
5. A large firm hires 3% more workers which brings
Natasha2012 [34]

Answer:

425733.32

Step-by-step explanation:

3%= 12772×100÷x

3x= 12772×100

x=425733.34

5 0
2 years ago
9 A rectangle of perimeter 42 cm is
lianna [129]

Answer:

The correct answer is = p = 15 and q = 6.

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 cm

p - q = 9 cm

length = p

width = q

we know:

Perimeter of rectangle= 2(l+w)

solution:

42 = 2(P+q)

21= p+q

Difference of p and q = 9 cm.

Then, P+q=21 .... 1

P-q=9 ....2

Adding both 1 and 2

2P = 30

P= 15cm and

q = 15-9

= 6cm

5 0
3 years ago
Other questions:
  • Solve this system of equations. x + y + z = 6 3x + 3y + 3z = 18 -2x − 2y − 2z = -12
    6·1 answer
  • Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6,-1)
    15·1 answer
  • Consider a box with a square base that has a volume of 64 cubic inches and a height of 4 inches. What is the volume of a similar
    7·1 answer
  • Five more than twice als shoe size is 29 what is als shoe size
    13·2 answers
  • Which algebraic rule describes the transformation? A) (x, y) → (−x, y) B) (x, y) → (x, −y) C) (x, y) → (−x, −y) D) (x, y) → (−y,
    11·2 answers
  • Samantha is making soup. to make the broth, she combines 2/5 cup of vegetable stock and 2/3 cup of chicken soup stock. Boiling
    8·2 answers
  • A rectangle has an area of 159.1m2. One of the sides is 3.7m in length. Work out the perimeter of the rectangle.
    15·1 answer
  • What is the answer to 0.5 = 5/9
    10·1 answer
  • Nancy sells handcrafted bracelets at a flea market for $7. If her monthly fixed costs are $775 and each bracelet costs her $2.75
    13·1 answer
  • The sticker price is the price you must pay for the vehicle <br><br> True or False
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!