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:
256x^8
Step-by-step explanation:
Hope this helped
<em>Maybe mark brainiest?</em>
Answer:
IQR=4
Step-by-step explanation:
Answer:
$27,014.85
Step-by-step explanation:
We're gonna use the compound interest formula: P = A(1 + r/n)^nt
P = final amount
A = starting amount (10,000)
r = rate (0.05)
n = times applied (4 since it's quarterly)
t = years (20)
P = 10,000(1 + 0.05/4)^4*20
P = 10,000(1.0125)^80
P = 27,014.84940753337
Round it to just 27,014.85
Answer:
cuz they ask for an interest with the increase of time
