Solve for x in the equation
1 answer:
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Answer:
The volume in liters is 2.041165665 liter.
Step-by-step explanation:
Given : Clare wants to mail a package that weighs pounds.
To find : What could be its volume in liters ?
Solution :
We know that,
Pound (lb) is a unit of Weight used in Standard system.
Liter (l) is a unit of Volume used in Metric system.
To convert 1 pound into liter is
1 pound (lb) = 0.45359237 liter (l)
pounds in simpler fraction is
Converting into liter,
pound (lb)=
liter (l)
pound (lb) = 2.041165665 liter (l).
Therefore, the volume in liters is 2.041165665 liter.
We know that
The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to
°
Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.
Hence
the answer is
the distance between the two ships is 8 miles apart
alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles
The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to
Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.
Hence
the answer is
the distance between the two ships is 8 miles apart
alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles