Any polygon given by a list of 2D vertex coordinates has area given by the shoelace formula.
That's the absolute value of half the sum of the cross products of the sides. We form the table of the vertices. We include the first vertex at the end, then calculate the cross product of the side, (a,b) then (c,d) gives cross product ad-bc.
cross product
-4 3 0
0 0 0
6 8 6(11)-8(2) = 66 - 16 = 50
2 11 2(3) - (11)(-4) = 50
-4 3
So the area is (1/2)(50+50) = 50
Answer: 50
Answer:
Step-by-step explanation:
Given
Required
Determine the new position
It descends means that it moved in the downward position.
So, the new position is:
<em>Hence, the new position f the submarin is -415m</em>
Answer:
x = 39
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, so
3x - 15 = 2x + 24 ( subtract 2x from both sides )
x - 15 = 24 ( add 15 to both sides )
x = 39
If you let the width be x, then the length will be 2x + 3. The perimeter P is
twice the width plus twice the length, i.e.,
P = 2*x + 2*(2x + 3) = 2x + 4x + 6 = 6x + 6.
So if the perimeter is 66 cm then 66 = 6x + 6 ---> 6x = 60 ---> x = 10 cm.,
and so if the perimeter is at most 66 cm., the width can be at most 10 cm..
The answer is x < 5 and x > -13.
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