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
morpeh [17]
3 years ago
14

A police officer seals off the scene of an accident using a roll of yellow tape that is 272 feet long. What dimensions should be

used to seal off the maximum rectangular area around the collision?
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

  68 feet square

Step-by-step explanation:

The rectangle with the maximum area for a given perimeter is a square. The perimeter of a square is 4 times the side length, so the side length of the square area will be ...

  (272 ft)/4 = 68 ft

_____

<em>More formally ...</em>

You can let x represent the length of one side. Then the length of the other side for the given perimeter will be 136 -x, and the area will be the product ...

  area = x(136 -x)

The area function is a quadratic with zeros at x=0 and x=136. The vertex (maximum area) will be at the value of x that is on the line of symmetry between these points, at their midpoint: x = (0 +136)/2 = 68. This value of x makes the rectangle a square.

You might be interested in
the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousa
amm1812

Answer:

y(x)=-0.028x+14.6

Step-by-step explanation:

Birth Rate in 1994 =  14.6 births per thousand population.

Birth Rate in 2004 =  14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

  • x=years after 1994
  • y=the birth rate
  • m=Yearly Birth Rate

First, we determine the birth rate per year

m=\dfrac{14.32-14.6}{10-0}\\=\dfrac{-0.28}{10}\\m=-0.028

Therefore, a linear equation that relates y in terms of x is of the form:

y(x)=-0.028x+c

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

y(x)=-0.028x+14.6

4 0
3 years ago
I need help with this problem!!! It’s confusing me so much and I need it by tomorrow!please tell me the answer and how you got i
ExtremeBDS [4]
I think its 3 - (0,10, 42)

if you put in the values of the given x, then these are the resulting y values.
8 0
3 years ago
9. If f(x)=x². g(x)=2x-1. and h(x) =find the following.
postnew [5]

Answer:

Please see the attached picture ! :D

-------- HappY LearninG <3 ----------

8 0
2 years ago
at 7 p.m. last night, the temputure was 10 degrees. At 7 a.m. the next morning, the temputure was -2 degrees. By how much did th
patriot [66]
The temperature went down by 12 degrees. (Or you could say it changed by -12 degrees)
3 0
3 years ago
Read 2 more answers
Calculate the values of the expression below 2 ( 3 (5 + 2) -1)<br>​
Otrada [13]

Answer:

= 40

Step-by-step explanation:

2 ( 3 (5 + 2) -1)

= 2 * 20

= 40

7 0
3 years ago
Read 2 more answers
Other questions:
  • A=1/2 (b+B)h. Find the area of a trapezoid whose height is 6m, small base is 12 m, and large base us 18 m
    11·1 answer
  • Complete the table to show a relationship that is a
    6·1 answer
  • The value of y2 + 2 is<br><br><br>plz help meh​
    11·1 answer
  • What comes next in this pattern? 4, 8, 6, 10, 8, ...​
    15·2 answers
  • Mai made 50 flyers for five volunteers in her club to hang up around school. She gave 5 flyers to the first volunteer, 18 flyers
    7·1 answer
  • Hey guys this is really in hard what is 1-5=
    6·2 answers
  • After adding an 8-pound box with 6 identical boxes, the crate weighed 72 boxes
    15·1 answer
  • Select all the values that are equivalent to the given expression. Express your answer in scientific notation.
    11·1 answer
  • Hi, can someone help me finish this?
    9·1 answer
  • Please help me i need to get it turned in
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!