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Step-by-step explanation:
Sum of interior angles of a polygon is given by (n-2)180°
where,n is the number of sides.
Since this polygon has 5sides,
sum of the interior angles = (5-2)180°=540°
x+150°+120°+75°+60°=540°
x°=540°-405° = 135°
So, first, what are the two sides?
let's call then x and y
we know that 2(x+y)=12.5 (that's the distance around)
so that means that x+y=6.25 (I just divided both by 2)
now, x=4y (from "4 times as long as it is wide")
so we can substitute:
x+4x=6.25
5x=6.25
x=1.25
so one side, is 1.25 and the other will be 1.25*4=5
and for the area we multiply the two:
1.25*5=6.25 square kilometers, and this is the answer!
is the logical or/disjunction symbol.
means "
or
". Disjunction is commutative, which means
is equivalent to
.
So if
represents
and
represents
, then
means
or
.
Y = cos(x)
sqrt(3)/2 = cos(30º)
dy = -sin(x)*dx
dy = -sin(30º)*(pi/180) = (1/2)*(pi/180)
y + dy = cos(x) - sin(x)dx
y + dy = sqrt(3)/2 - (1/2)*(pi/180) = 0.8573
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