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
beks73 [17]
4 years ago
11

An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. if 370 feet of antiqu

e picket fencing are to be used to enclose the​ garden, find the dimensions of the garden. what is the length of the​ garden?
Mathematics
2 answers:
jenyasd209 [6]4 years ago
8 0
The length of this garden is 61.666666666 forever.
Korolek [52]4 years ago
6 0

Answer:

111 Feet

Step-by-step explanation:

The feet of antique picket fencing are to be used to enclose the​ garden is equivalent to the perimeter of the flower garden.

The perimeter P of a rectangle  whose length is L and width is W is given as

P = 2( L + W)

Given that the width is exactly​ two-thirds of the length

then, W = 2/3 L and P = 370 feet

L = 3/2 W = 1.5W

370 = 2 ( 1.5W + W)

370 = 5W

W = 370/5

= 74 Feet

L = 1.5W

= 1.5 * 74

= 111 Feet

You might be interested in
Stats question two way tables
Levart [38]

Answer:

Step-by-step explanation:

Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.

Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.

Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.

3 0
3 years ago
8. What is the domain of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D%20%2B20x%2B75%7D" id="TexFormula1" title
antiseptic1488 [7]

Answer:

8.  Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9.  Domain: [7/13, ∞)

    Range: [1, ∞)

Step-by-step explanation:

<u>Question 8</u>

Given rational function:

f(x)=\dfrac{x}{x^2+20x+75}

Factor the denominator of the given rational function:

\implies x^2+20x+75

\implies x^2+5x+15x+75

\implies x(x+5)+15(x+5)

\implies (x+15)(x+5)

Therefore:

f(x)=\dfrac{x}{(x+15)(x+5)}

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

The function is <u>undefined</u> when the <u>denominator equals zero</u>:

x+15=0 \implies x=-15

x+5=0 \implies x=-5

Therefore, there are <u>vertical asymptotes</u> at x = -15 and x = -5.

<u>Domain</u>: set of all possible input values (x-values)

Therefore, the <u>domain of the given rational function</u> is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

<u>Question 9</u>

Given function:

f(x)=\sqrt{13x-7}+1

<u>Domain</u>: set of all possible input values (x-values)

As the <u>square root of a negative number</u> is <u>undefined</u>:

\implies 13x-7\geq 0

\implies 13x\geq 7

\implies x\geq \dfrac{7}{13}

Therefore, the <u>domain of the given function</u> is:

\left[\dfrac{7}{13},\infty\right)

<u>Range</u>: set of all possible output values (y-values)

\textsf{As }\:\sqrt{13x-7}\geq 0

\implies \sqrt{13x-7}+1\geq 1

Therefore, the <u>range of the given function</u> is:

[1, ∞)

8 0
2 years ago
What is 4 1/5 as a percent
Nikitich [7]
4 1/5 is converted to 420% 

Hope this helps!
5 0
3 years ago
Read 2 more answers
The function G(x)=f(x+3)+2 which of the following is true of the graph of g(x)?
zepelin [54]
G(x)=(x+3)+2

G(x) = (x-h) + k
h translates the graph left/right and k translates the graph up/down.
Because the equation is x- the parenthesis is (x - - 3) which makes h a negative 3 and will translate left. The k positive so it will move up.
Letter B
7 0
3 years ago
Find the value of each variable
mylen [45]

Answer:

20. 4n+5+8n-5=180(linear pair)

12n=180

n=15

21. 9x-6=8.5x+2(can be seen from image)

9x-8.5x=2+6

0.5x=8

x=8/0.5

x=80/5

x=16

22. 4z+3z+6=90°(Complementary)

7z+6=90°

7z=84°

z=12°

3 0
3 years ago
Read 2 more answers
Other questions:
  • Use the graph of the function f(x) = x3 - 7x2 + 10x to identify its relative maximum and minimum.
    15·1 answer
  • Find an equation of the line. Write the equation in the standard form. Through (5,5); parallel to 2x-y=8
    8·1 answer
  • A 6 inch personal pizza has 580 calories, with 240 of those
    11·1 answer
  • Solve each inequality for the variable. Show your work. 3x-7&gt;4x+2
    6·1 answer
  • Soybeans have a conversion factor of 36.744 (bu/t). How much do 45 bushels weigh?
    6·1 answer
  • o figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to
    8·2 answers
  • In a bicycle store the price of a bicycle is $680. It is marked at 30% discount and then a sales tax of 6% is applied. How much
    7·1 answer
  • I'll mark brainliest pls help pls
    15·1 answer
  • if you answer right, I will give points.... this is homework so it's important. so be honest please. ​
    14·1 answer
  • Could I get help on some algebra? I need the explanation to know how to do it.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!