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
Put the following equation of a line into slope-intercept form, simplifying all
dmitriy555 [2]

Answer:

Brainliest!

Step-by-step explanation:

slope intercept form is in: y = mx + b

12y = -8x + 48

y = (-8x+48)/12

y = -2/3x+4

3 0
2 years ago
HELP ME PLS I NEED HELP ITS DUE TOMORROW !!!!! I NEED HELP ON ALL 2,3,4,5
atroni [7]

Answer:

1)The slope of the smaller triangle is smaller.

2)The slope of the larger triangle is larger than the slope of the smaller triangle.

3)Tre triangles are congruent

4)The slopes of the two triangles are the same.

5)Line A

3 0
3 years ago
Read 2 more answers
X + y = 0<br> x - y = 4 <br> Then what does x =
mylen [45]
X - (-x) = 4
2x = 4

x=2
8 0
3 years ago
It took Alan 7 hours driving at a constant rate to travel 308 miles. How fast was Alan driving in miles per hour?
natulia [17]

Answer:

44 m/h

Step-by-step explanation:

speed/how fast = distance ÷ time

= 308 miles ÷ 7 hours

= 44m/h

8 0
2 years ago
Read 2 more answers
X. F(x)
Mkey [24]

Answer:

  • A.  There is a line symmetry at x=1.5
  • D.  There are x- intercepts at (-1,0) and (4,0)

Step-by-step explanation:

The average of x-coordinates corresponding to the same F(x) value is 1.5. That is ...

  (-2+5)/2 = (-1+4)/2 = (0+3)/2 = 1.5

The values in the table appear to be symmetrical about x=1.5, so that is a line of symmetry.

__

The x-intercept points are those points where F(x) = 0: (-1, 0) and (4, 0).

__

The y-intercept is (0, -4), not (-4, 0).

On the interval [0, 5] the function is both decreasing and increasing.

3 0
3 years ago
Other questions:
  • How do you make a fraction into a percent?
    9·1 answer
  • Solve the equation.<br> 9 = 8n<br> n =
    15·2 answers
  • A distance of 150 km was covered by a motorcyclist traveling at an average speed of 75 km/h, by a bus at 60 km/h, a truck at 50
    7·1 answer
  • Someone provide an answer please (:
    5·1 answer
  • What is 2,000,000 x 10,000 x 170 x 10E1146?
    8·1 answer
  • Wich tool is used to measure the lengths of segments when preforming a formal geometric construction
    6·1 answer
  • Samuel has a collection of toy cars. His favorites are the 27 red ones which make up 60 % of his collection.How many toy cars do
    10·2 answers
  • Which expression is equivalent to this polynomial expression? (2x2-3y2)(4x4+6x2y2+9y4)
    5·1 answer
  • a furlong is a unit of measure used in horse racing. every year, horses race 10 furlongs in the kentucky derby, one furlong is e
    12·1 answer
  • I keep coming up with different answers please help me?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!