Answer:
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Step-by-step explanation:
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 .
Answer:
The mode is 21.
Step-by-step explanation:
Mode is a number than appears <u>most frequently</u> in a set of numbers.
The trigonometric ratio (trig ratio) for the angle in this right-angled triangle should be expressed as fractions in simplest terms as follows:
Sin(M) = 21/121
Cos(L) = 10/11
Tan(K) = 21/100
<h3>How to express the trig ratio as fractions?</h3>
In Mathematics, a trigonometric ratio (trig ratio) can be calculated by using this mnemonic SOHCAHTOA:
Sinθ = Opposite/Hypotenuse
Sin(M) = KM/ML
Sin(M) = √21/11
Taking the square of both the numerator and denominator, we have:
Sin(M) = (√21)²/11²
Sin(M) = 21/121
For the cosine of an angle in a right-angled triangle, we have:
Cosθ = Adjacent/Hypotenuse
Cos(L) = KL/ML
Cos(L) = 10/11
For the tangent of an angle in a right-angled triangle, we have:
Tanθ = Opposite/Adjacent
Tan(K) = KM/KL
Tan(K) = √21/10
Taking the square of both the numerator and denominator, we have:
Tan(K) = (√21)²/10²
Tan(K) = 21/100
Read more on trigonometric ratio here: brainly.com/question/26964482
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ANSWER
The height is
EXPLANATION
Let the height of the chimney be x.
Cross multiply
Put
into the equation;
Group similar terms:
The height of the chimney to the nearest feet is 22