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Kobotan [32]
3 years ago
7

Graph the linear equation. Find three

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
8 0

Answer:

3,4

6,6

9,8

Step-by-step explanation:

Karo-lina-s [1.5K]3 years ago
4 0
-3y = -2x -6

Y= 2/3x + 2


When x= 3
Y= 2/3(3) + 2
Y= 2+2 = 4

(3,4)


When x= 6
Y=2/3(6)+2
Y= 4+2 = 6

(6,6)


When x= 12
Y= 2/3(12) + 2
Y= 8+2=10

(12,10)
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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
. A big ice in the shape of a cube with volume 60 cm is divided into cubes
tiny-mole [99]

lxwxh = v 2 x 2 x 2 = 8 7x8=56 Answer: 7

7 0
3 years ago
What is 16500 rounded to the nearest ten thousand?
frosja888 [35]
16500 Rounded to the nearest ten thousand is 20,000
4 0
3 years ago
Please help.........
Schach [20]

Answer: what the heck do you have to answer

Step-by-step explanation:

3 0
3 years ago
Find the product of 3 1 11 and 5 1 2 .
prohojiy [21]

Answer:

16896

Step-by-step explanation:

3×1×11×512

=16896

7 0
3 years ago
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