Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° =
=
=
( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB =
≈ 4.41 ( to the nearest hundredth )
Hello!
-8.5C > -150
Good luck!
M.
Answer:
Perimeter of given regular hexagon is <em>48.5 ft</em>.
Step-by-step explanation:
Let <em>ABCDEF</em> be the regular hexagon as shown in the attached figure.
<em>O</em> be the intersection point of the diagonals <em>EB</em>, <em>FC </em>and <em>AD</em>.
As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.
In other words,
are equilateral
.
Area of an equilateral
is defined as
:

Where <em>a </em>is the side of
.
Area of hexagon = 
We are given that area of hexagon = 169.74 
Let <em>s </em>be the side of hexagon.

A regular Hexagon is made up of 6 equal sides, so
Perimeter of a regular hexagon = 
Perimeter = 

So, perimeter of given regular hexagon is
.
Step-by-step explanation:
Given:
Complementary angle = 68'
Angle measure = 90' - 68' = 22'
Supplementary angle = 180' - 22' = 158'
Angle classification = Acute angle
Given:
Supplementary angle = 161'
Angle measure = 180' - 161' = 19'
Complementary angle = 90' - 19' = 71'
Angle classification = Acute angle
Given:
Angle measure = 136'
Angle classification = Obtuse angle
Complementary angle = 136' - 90' = 46'
Supplementary angle = 180' - 136' = 44'
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