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
Flauer [41]
3 years ago
5

) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimensional space. The points are (2,

7), (8, 2), (6, 11), (6, 5), and (11, 6). Use determinants to calculate the area of the polygon formed by the sensors.
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0

Answer:

<em>The polygon area is </em>51.5 U^{2}<em />

Step-by-step explanation:

Points:

(2,7), (8,2), (6,11), (6,5), (11,6)

1. The area of the polygon could be calculate with the eqation:

A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]

2. Replace the coordinates in equation for A:

A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]

3. Solve the determinant, and calculate A:

A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}

<em>The polygon area is </em>51.5 U^{2}<em />

You might be interested in
The sum of two consecutive odd integers is greater than 36 (solve with an inequality and show work please)
mixas84 [53]
O+o+2>36
2o>34
o>17
o1>17
o2>19
o is equal to odd number
4 0
3 years ago
B-c,when b=8 and c=7
elixir [45]
If I understand your question correctly then it's simple all you have to do is use the numbers in the place of the b and c so the question would be what is 8-7 which equals 1 
8 0
3 years ago
Plz help I am bad at this
Vikentia [17]
Your answer is either A or D
8 0
2 years ago
Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make? x squared minus 2 x + 1 St
melomori [17]

Answer:

See attached sheet

Step-by-step explanation:

5 0
3 years ago
Carmen has taken out a loan for $800 to buy a car. she plans to pay back the loan at a rate of $40 per month. ramona has borrowe
Bingel [31]

Answer:a

Step-by-step explanation: 20 x 25=500

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the y-intercept equation of the line below y=8x+7
    6·1 answer
  • What is the reciprocal of 3 3/7
    8·2 answers
  • Find the value of this expression if x= 3 x^2+4/x
    11·1 answer
  • Please help! Will give Brainliest!
    13·1 answer
  • The exponential function f(x)=100(0.7)^x models Exponential (Growth/Decay) and the rate of (Growth/Decay) is (7%/30%/70%/130%).
    5·1 answer
  • -5.2 - (-3.1) + 5.2 =
    8·1 answer
  • Write an equation for the plot
    10·2 answers
  • No links!!!
    9·2 answers
  • Claire wants to start a stamp collection. She spends $15 on an album to hold her stamps and $1.25 for each stamp. If she has $40
    7·1 answer
  • Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!