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
azamat
3 years ago
15

surveying crew located three points on a map that formed the vertices of a triangular area. A coordinate grid in which on unit e

quals 20 miles is place over the map so that the vertices are located at (0, -1), (-3, -9), and (3, -2). Find the area of the triangle using determinants?

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0

Answer:

5400 mi²

Step-by-step explanation:

The area is half the absolute value of the sum of the determinants of the points taken pairwise in some consistent order around the polygon. For a triangle, this sum of determinants can also be written as the determinant of a 3×3 matrix of the coordinates with the third column being 1.

... Area = (1/2)|D|

where D = ...

\left|\begin{array}{ccc}0&-1&1\\-3&-9&1\\3&-2&1\end{array}\right|=\left|\begin{array}{cc}0&-1\\-3&-9\end{array}\right|+\left|\begin{array}{cc}-3&-9\\3&-2\end{array}\right|+\left|\begin{array}{cc}3&-2\\0&-1\end{array}\right|\\\\=-3+33-3=27

Then the area is (in grid squares) ...

... Area = (1/2)|27| = 13.5 . . . . grid squares

Each grid square is (20 mi)² = 400 mi², so 13.5 grid squares is ...

... 13.5 × 400 mi² = 5400 mi²

You might be interested in
Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin
FromTheMoon [43]

Answer:

  • median: 15
  • base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

  5x -20 = (12 + (4x -10))/2

  5x -20 = 2x +1

  3x = 21 . . . . . add 20-2x

  x = 7

Then the lengths are ...

  median = 5x -20 = 5·7 -20 = 15

  base = 4x -10 = 4·7 -10 = 18

6 0
3 years ago
Question 1 (1 point)
Sidana [21]

Answer:

v=15.625ft³ or 15.63ft³

Step-by-step explanation:

v=s³

v=2.5³

v=15.625

round off to the nearest hundredth

v=15.63ft³

5 0
4 years ago
What % of $3.75 is $1.50? 25 40 60 67
____ [38]
40% of 3.75 is 1.50
3.75x.4=1.5
4 0
4 years ago
Read 2 more answers
2/3 divided by 4???????????????????
stich3 [128]
1/6 is the answer when you divide it by 4

5 0
4 years ago
Read 2 more answers
It takes half a yard of ribbon to make a bow. how many bows can be made with 7 yards of ribbon?​
joja [24]
14
Step by Step
1/2+1/2=2
so you can make 2 bows with one yard
7yards•2bows=14bows
7 0
3 years ago
Other questions:
  • Cot x sec^4 x=cot x + 2tan x + tan^3 x
    5·1 answer
  • What’s the answer to this problem and how do you figure it out.
    5·1 answer
  • What is the value of 1–5|?
    11·2 answers
  • Find the odds for and the odds against the event rolling a fair die and getting a 4, a 2, or a 1.
    15·1 answer
  • 5y+4 times 2 what is the coefficient in this expression?
    11·1 answer
  • 6=m/8 what does m equal
    7·2 answers
  • ONLY GOT 2 MINS!!!<br> whats 9 divided by 4 4/5
    8·2 answers
  • how many cubic sugar of edge 20cm can be fitted into cuboid container of dimension 40cm by 60cm by100cm​
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=1.%20%5Cfrac%7B1%7D%7B3%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B6%7D%7B
    12·1 answer
  • Which properties justify the steps taken to solve the system?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!