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:
hello : x = 2
Step-by-step explanation:
note : a^3 = b^3 : a=b
x^3-8=0
x^3=8
x^3= 2^3
so : x=2
Answer: 12
Step-by-step explanation:
The height of the kite above the ground is 58.68 ft
Let x be the height of the kite above Chee's hand.
The height of the kite above Chee's hand, the string and the horizontal distance between Chee and the kite form a right angled triangle with hypotenuse side, the length of the string and opposite side the height of the kite above Chee's hand.
Since we have the angle of elevation from her hand to the kite is 29°, and the length of the string is 100 ft.
From trigonometric ratios, we have
tan29° = x/100
So, x = 100tan29°
x = 100 × 0.5543
x = 55.43 ft.
Since Chee's hand is y = 3.25 ft above the ground, the height of the kite above the ground, L = x + y
= 55.43 ft + 3.25 ft
= 58.68 ft to the nearest hundredth of a foot
So, the height of the kite above the ground is 58.68 ft
Learn more about height of kite above the ground here:
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Answer:
parallel
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slopes m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)
m = 
= 
Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)
m = 
=
Since slopes are equal then parallel
