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
3 feet 8 inches converted to inches is 3x12+8=44inches
44inches times 4 pieces is 176 inches.
176 inches converted back to feet and inches is 176/12=14 feet 8 inches so he would need 15 feet of board
Answer:
20
The denominators of 3
/10 and 1
/4 are 10 and 4.
The factors of 10 are 2
×
5 and 2
×
2
Therfore the LCD should have two 2's and one 5.
This means the answer is:
2
×
2
×
5
=
<u>20</u>
I hope this helps :)
Let’s remember the most basic thing in percentages, the equation.
Percent x Whole = Part.
We know the whole, and the part, but we are trying to find the percent, so we have to divide the two, first turn your whole and part into a decimal.
Percent x 0.4 = 0.18, so we divide 0.18 by 0.4
0.18/0.4 = 0.45
0.45 = 45%
Answer: Graph first and fourth.
Step-by-step explanation:
If a function is reflected through line y=x,, we obtained an inverse function of that function.
In first graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
In second graph,
The function is shifted horizontally,
This is why we did not get an inverse function.
In third graph,
The function is reflected through x-axis,
This is why we did not get the inverse of the function.
In fourth graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
