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Ann [662]
3 years ago
6

Find the measure of a

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

  6

Step-by-step explanation:

The law of cosines is useful here.

  a^2 = 8^2 +11^2 -2·8·11·cos(32.2°) ≈ 36.070003

  a ≈ √36.070003 ≈ 6.00583

  a ≈ 6

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Answer:

Hello!!

Using the trend of the data on the graph to predict how many tickets would be sold at week 25. The correct answer would be...

There would be 15 tickets sold at week 25

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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

7 0
2 years ago
Abby has a jewelry business. She uses small square boxes to ship her homemade rings to stores to sell. The ring box measures 12
aleksandr82 [10.1K]

Answer:

Volume of Shipping box= lenghth × breadth × height

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Step-by-step explanation:

Volume of ring box = 12×12×12

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Volume of shipping box= 1012×8×3

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Hope am correct

Thanks

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hichkok12 [17]

Step-by-step explanation:

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Next rewrite the equation using the improper fraction:

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Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.

\frac{8}{5}·\frac{4}{27}

Finally, multiply together and simplify/reduce if needed:

<u>The final answer is </u>\frac{32}{135}<u> and no simplification or reduction is needed</u>

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