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Dima020 [189]
2 years ago
14

How does 3.1416 come​

Mathematics
1 answer:
e-lub [12.9K]2 years ago
3 0

Answer:

It is the value of pie(22/7)

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Triangle ΔABC has side lengths of a = 18, <img src="https://tex.z-dn.net/?f=b%3D18%5Csqrt%7B3%7D" id="TexFormula1" title="b=18\s
ozzi

The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

<h3 /><h3>What is the law of cosine?</h3>

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle B=\cos^{-1}\left(\dfrac{a^2+c^2-b^2}{2ac}\right) \\\angle C=\cos^{-1}\left(\dfrac{a^2+b^2-c^2}{2ab}\right)

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

Triangle ΔABC has side lengths of a = 18, b=18√3  and c = 36 inches.

  • Part A: Determine the measure of angle A

Put the value, in the cosine law, the measure of angle A.

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle A=\cos^{-1}\left(\dfrac{(18\sqrt{3})^2+36^2-18^2}{2(18\sqrt{3})(36)}\right) \\\angle A=0.5236\rm\; rad\\\angle A=30^o\rm\; degree\\

  • Part B: Show how to use the unit circle to find tan A

Using the chart of unit circle, the value of tangent A can be found out. The tangent A is,

\tan A=\tan 30^o\\\tan A=\dfrac{1}{\sqrt{3}}

  • Part C: Calculate the area of ΔABC.

Use the following formula to find area of ΔABC.,

A=\dfrac{ab.\sin C}{2}\\A=\dfrac{18\times18\sqrt{3}.\sin C}{2}\\A=280.6\rm\; in^2

Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

Learn more about the law of cosine here;

brainly.com/question/4372174

#SPJ1

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2 years ago
At Luby's, an adult's meal is $7.50 and a kid's meal
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Before i try and answer this do u have a graph
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3 years ago
What are the similarities and differences between these data sets in terms of their centers and their variability?
Ronch [10]
Data set A have a median of 2, mean of 3.4, min of 1 and max of 9. range of 8
Data set B have a median of 7, mean of 6, min of 1 and max of 12, range of 11
so Data set B is much bigger than data set A
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3 years ago
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kysen have $0, but he owes his friend $10 for a game. his other friend, James, bought a $6 lunch for him, and kysen said he woul
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Answer:

A $9

Step-by-step explanation:

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3 years ago
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A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat tha
Dvinal [7]

Answer:

V = 18816.57 in^3

Step-by-step explanation:

So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.

55 - 2(11) = 33 inches

The radius is half of the diameter, so r = 16.5 inches.

Now just use the formaula V = \frac{4}{3}\pi  r^{3}

V = (4/3) * 3.14 * (16.5)^3

V = 18816.57 in^3

<em>Also, just a side note.. this is one big coconut..</em>

7 0
3 years ago
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