By <em>trigonometric</em> functions and law of cosines, the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
<h3>How to find a missing variable associated to an angle by trigonometry</h3>
In this question we have a <em>geometric</em> system that includes a <em>right</em> triangle, whose missing angle is determined by the following <em>trigonometric</em> function:
sin (7 · x + 4) = 12/14
7 · x + 4 = sin⁻¹ (12/14)
7 · x + 4 ≈ 58.997°
7 · x = 54.997°
x ≈ 7.856
In addition, the <em>geometric</em> system also includes a <em>obtuse-angle</em> triangle and that angle can be also found by the law of the cosine:
7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)
17/32 = cos (7 · x + 4)
7 · x + 4 = cos⁻¹ (17/32)
7 · x + 4 ≈ 57.910°
7 · x ≈ 53.910°
x ≈ 7.701
Hence, we conclude that the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
To learn more on triangles: brainly.com/question/25813512
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Answer: <u>2x+y=-8</u> = <u>x=-1/2y-4 </u>
<u>4x-6y=-24 </u>= <u>x =3/2y-6</u>
Step-by-step explanation:
2x+y=-8 -- Step 1: Add -y to both sides.
2x+y+−y=−8+−y
2x=−y−8
Step 2: Divide both sides by 2.
2x/2=-y-8/2
<h3 />
4x-6y=-24 -- Step 1: Add 6y to both sides.
4x−6y+6y=−24+6y
4x=6y−24
Step 2: Divide both sides by 4.
4x/4=6y-24/4
<h3>brainliest would be appreciated</h3>
Answer:
68 students
Step-by-step explanation:
Number of men who major in business in the university= 0.43*8253=3548.79
Rounding off we have 3549 students
Number of women who major in business in the university= 0.27*10327=2788.29
Approximately 2789 students
Total students who major in Business= 3549+2789=6338 students
Total students in school= 8253+10327=18580
Probability of getting business major= 6338/18580
Out of 200 students, we expect

Approximately 68 students will be majoring in business
Answer:
8% out of 175 = ( 8 ÷ 100 ) × 175 = 14
175 cm - 14 = 161 cm
...............
Answer:
The scale factor is 
Step-by-step explanation:
The volume of the original prism is 
The volume of the dilated prism is 
Let the scale factor be
.
To find the volume of the dilated prism, we multiplied by
.



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