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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.

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A triangle has a perimeter of 91 centimeters. Each of the two longer sides of the triangle is three times as long as the shortes
Mkey [24]

9514 1404 393

Answer:

  13 cm, 39 cm, 39 cm

Step-by-step explanation:

If x is the short side, then the other two sides are 3x and 3x. The perimeter is the sum of side lengths:

  x +3x +3x = 91

  x = 91/7 = 13

  3x = 3(13) = 39

The length of the short side is 13 cm; the other two sides are 39 cm.

4 0
2 years ago
Which of the following is a possible unit for the volume of a cone?
mash [69]

Possible unit is m³

<u>Step-by-step explanation:</u>

  • The possible unit for volume of a cone is m³
  • Volume of a cone = Base area × Height
  • Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
  • In the given options, the only unit that is in cubic form is m³
8 0
3 years ago
During a science experiment,the temperature of a solution in beaker 1 was 5 degrees below zero. The temperature of a solution in
GaryK [48]
Answer:
5 degrees

Step-by-step explanation:

We are given that during a science experiment
The temperature of a solution in a beaker 15 degrees below zero
The temperature of solution in a beaker 2 was opposite of the temperature in beaker 1
We have to determine the temperature of beaker 2.
It mean temperature of beaker 1 solution=-5 degrees
According to question
Temperature of beaker 2 solution =5 degrees
Hence, the temperature of solution in a beaker 2=5 degrees
7 0
1 year ago
A bag contains 10 marbles:
Len [333]
Total number of marble = 10
3green
2red
5 blue
Probability that the first marble is red = 2/10

Probability that the second is blue = 5/9(a reduction in the total number of marbles, because after the first marble was picked it wasn't replaced)

Probability of 1st and 2nd being red and blue respectively = 2/10 × 5/9
=1/9....

Hope this helped...?

6 0
3 years ago
2x - 4y + 7x - 87<br> Helppp
xxTIMURxx [149]

Answer:

9x-4y-87

Step-by-step explanation:

2x-4y+7x-87

9x-4y-87

8 0
3 years ago
Read 2 more answers
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