When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3
Answer:
The length of CD is 8 units
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
According to the Right Triangle Altitude Theorem,
substitute the given values
solve the quadratic equation by graphing
The solution is x=8 or x=-6
see the attached figure N 2
Discard the negative length.
therefore
The length of CD is 8 units
Answer:
28 dollars
Step-by-step explanation:
$45+$5= $50 which is how much she spent it total
then she sells it for $78
so her profit would be $28
Let x and y represent the two angles.
.. x + y = 90 . . . . . . two angles are complementary
.. x -2y = 15 . . . . . . one angle is 15 more than twice the other (y = smaller angle)
Subtract the second equation from the first.
.. (x +y) -(x -2y) = (90) -(15)
.. 3y = 75
.. y = 25
The smaller angle is 25 degrees.
Answer:
B; 50%
Step-by-step explanation:
Here, we want to calculate the percentage of women that will not fit in the driver’s seat
We proceed as follows;
We start with calculating the z-score of this;
That would be ;
(x-mean)/SD
in this case;
x = 34 inches
mean = 34 inches
SD = 1.4 inches
Thus, we have that;
(34-34)/1.4 = 0/1.4 = 0
when z-score is 0, we are at the center of the distribution
A z-score of 0 corresponds to exactly 50%
