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
Tamiku [17]
3 years ago
9

A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

ngle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order to minimize the total area?
Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0

The function you seek to minimize is

()=3‾√4(3)2+(13−4)2

f

(

x

)

=

3

4

(

x

3

)

2

+

(

13

−

x

4

)

2

Then

′()=3‾√18−13−8=(3‾√18+18)−138

f

′

(

x

)

=

3

x

18

−

13

−

x

8

=

(

3

18

+

1

8

)

x

−

13

8

Note that ″()>0

f

″

(

x

)

>

0

so that the critical point at ′()=0

f

′

(

x

)

=

0

will be a minimum. The critical point is at

=1179+43‾√≈7.345m

x

=

117

9

+

4

3

≈

7.345

m

So that the amount used for the square will be 13−

13

−

x

, or

13−=524+33‾√≈5.655m

You might be interested in
what is the difference between the surface areas of the Pyramid of Khafre and the Pyramid of Menkaure?
Svet_ta [14]
What do you think it is????
4 0
3 years ago
Ap:3, 2, 1....<br>what is its coomon difference ​
Nastasia [14]

Answer:

-1

Step-by-step explanation:

3-1=2

2-1=1

3 0
2 years ago
Plot the point (0,6), (3,15.8) and (9.5,0) using the graphing tool, and find the function
gladu [14]

I know the Answer I dont know how to show you. do you?

3 0
3 years ago
Read 2 more answers
What are the solutions
netineya [11]

The answer is A. If you substitute -2 and -8/3 for x, the answer is 0.

8 0
3 years ago
When taking skinfold measurement readings only one attempt per site is necessary for an accurate reading.a. Trueb. False
Eva8 [605]

Answer: False

Step-by-step explanation: Skinfold measurements is one of the oldest ways of measuring a person's fat percentage,it's usually taken in specific areas of the body where there are Skinfolds,while taking this measurements it is expected that the person taking it does the average of 2or more repeated measurements in order to ensure that the actual thickness of that area of the body is correctly entered.

It is specifically taken from the right side of the body,where the person pinches out the Skinfolds away from the body by attaching a caliper ,this is to ensure that only the fatty laters are considered, it is mainly presented in percentage.

3 0
3 years ago
Other questions:
  • How do I do<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B9%20-%20n%20%3D%20%20%5Csqrt%7B%20%5Cfrac%7Bn%7D%7B2%7D%20%7D%20%7
    6·1 answer
  • Which relation is a function
    5·1 answer
  • Is 80 a multiple of 4?
    14·2 answers
  • According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5
    15·1 answer
  • The diagram shows three aid stations in a national park. Choose the values of x, y, and z that COULD represent the distances bet
    12·2 answers
  • A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
    10·1 answer
  • 1 1/4×-1 1/3 is equals to?​
    15·1 answer
  • In the adjacent figure through = 50° calculate the, sĀr and rĀl​
    14·1 answer
  • Arrange from shortest to longest. 3/8, 3/6, 3/4.
    13·2 answers
  • If why varies with the square of x and Y equals 24 when x equals 10 then the constant of proportionality is ____, and the value
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!