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
SOVA2 [1]
3 years ago
15

A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90 degrees.What depth will provid

e maximum​ cross-sectional area and hence allow the most water to​ flow?
Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

18 in^2

Step-by-step explanation:

<em>1  )The three sides of the gutter add up to 12</em>

            2x+ y = 12  

<em>2)  Subtract 2x from both sides. </em>

           y = 12 — 2x  

<em>3 )Find the area of the rectangle in terms of x and simplify.</em>

    Area = xy = x(12 — 2x) = -2x^2+12x = f(x)  

<em>4 )  x=-b/2a</em>

     <em>x co-ordinate of the vertex= -12/2(-2)=3</em>

<em>5 )Plug in 3 for x into they equation.</em>

    y co-ordinate of the vertex= 12 — 2(3) = 6  

<em>6  )  Plug in 3 for x and 6 for y.  </em>

      Area= xy = 3(6) = 18  

RESULT  

            18 in^2

 

 

 

 

You might be interested in
What is the comparison 5+4
WITCHER [35]
Hi i am veronika and the answer to your answer is 9
4 0
3 years ago
Write the word sentence as an inequality. Then solve the inequality. 3/4 is greater than or equal to a number k divided by -8
Novosadov [1.4K]

Answer:

  1. \frac{3}{4} \geq \frac{k}{-8}  
  2. k ≥ -6

Step-by-step explanation:

  1. Re-arrange: \frac{3}{4} \geq \frac{k}{-8}  
  2. Multiply each side by -8 to cancel out the -8 under k. It should now look like this: k ≥ -6

I hope this helps!

6 0
2 years ago
You buy a pair of shoes for $40, at check out you are also charged 8% sales tax. What is the total cost of your shoes
satela [25.4K]

Answer:

43.20

Step-by-step explanation:

I hope this is right !

4 0
2 years ago
Read 2 more answers
What is 81.139 rounded to the nearest tenth
xxMikexx [17]
Tenth = 0.1
81.139 ≈ 81.1 
7 0
3 years ago
Which statement is true about function f? please answer urgently
Mama L [17]

Answer: C

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • 5(2x − 8) = 90<br> thanks
    6·2 answers
  • Is 3x + 12 +x and 4 (3 + x) equivalent .Why and Whynot?
    7·2 answers
  • Whats 9,032,504.75 in expanded form
    9·1 answer
  • What is the slope<br>1/4<br>4<br>-2<br>-3​
    14·2 answers
  • How do I solve this problem: Margo won 24 out of her last 36 tennis matches.At this rate, predict how many matches she would win
    10·1 answer
  • HELP PLEASEEEEEEEEEEEEE
    13·2 answers
  • Someone please help i can’t find the answer.
    14·1 answer
  • If f(x)= 6^2 and g(x)=3 +6(x). What is f(2)​
    12·1 answer
  • Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located clos
    7·1 answer
  • Given two points of a line, find its slope.<br> (3, 1), (7,4)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!