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
natka813 [3]
3 years ago
12

A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine th

e depth of the gutter that will maximize its cross sectional area to allow the greatest amount of water to flow
Mathematics
1 answer:
Mice21 [21]3 years ago
3 0
<span>For the answer to this question,

Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area 
A = depth  x  width

</span><span> = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:

x = -b/(2a)
x = -18/(2x(-2))

x = 4.5 inches is the depth for max area

</span><span>Max area: 4.5 * 9 = 40.5 sq/in

I hope my answer helped you.</span>
You might be interested in
For sketching solutions for inequalities should there be a solid line or a dotted line at `x-y=5`?
Tpy6a [65]
Jdjjckdifoffcncjdididid
4 0
3 years ago
The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.
snow_tiger [21]

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

x = 26

6 0
3 years ago
4752512944 THATS MY NUMBER BORED:(
krok68 [10]

Answer:

Really? Oof XD You really must be bored then

Step-by-step explanation:

Wanna talk?

Have a nice day!! <3

8 0
3 years ago
Read 2 more answers
ANSWER QUICK PLEASE
konstantin123 [22]

Answer:

consider x as the number of hours you work

so, the function that would satisfy this equation is

10x

3 0
2 years ago
Translate the phrase into algebraic symbols.<br><br> the sum of a number y and sixteen.
jarptica [38.1K]
The answer to this is y+16
3 0
2 years ago
Other questions:
  • If 9 people had a some pizza and there was 2 boxes how many pizzas was left
    6·1 answer
  • What is 469.82 plus 8.5 sales tax
    8·1 answer
  • PLS HELP I WILL GIVE BRAINLIEST AND 40 POINTS
    13·1 answer
  • Bruce bought two books one book cost $4.00 more than three times the other . Together, the two books cost him $72
    9·1 answer
  • A bicycle wheel has a diameter of 62cm. The wheel makes 80 complete
    7·1 answer
  • PLEASE I WILL GIVE BRAINLIEST
    6·1 answer
  • On an algebra quiz, Alice got 24 problems correct and 4 incorrect. What is the ratio of correct problems to the total number of
    12·1 answer
  • A pair of parallel lines is intersected by a transversal. Select each statement that can be used to show that ∠4 is congruent to
    14·2 answers
  • Chanaisa has 3.75 gallons of paint. She wants to use 2/5 of the paint to paint her living room. How many gallons of paint will C
    14·2 answers
  • You don't have to draw a line you can just type the volumes in terms of PI and just normal.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!