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:
B
Step-by-step explanation:
The inequality is 1.20$ x + 3.60 < 9.60, the amount of money in total that Rammy has. As said, for each pound of peaches it would cost 1 dollar and 20 cents (1.20) So for the gallon of milk if Rammy bought it he would have 6$ left to spend on the pounds of peaches. So you do 6$ (600) divided by 1.20$ (120) and you would get 5 pounds of peaches. Therefore, Rammy can buy 5 or more pounds of peaches.
<span>First find how many grams are in 15.87kg and how many meters are in 30.48cm
15.87kg x 1000g/kg = 15, 870g
30.49cm x 1m/100cm = 0.3049m
Then, set up a proportion.
0.3049m/15, 870g = 1m/x g
Cross multiply to get..
0.3049x = 15, 870
Divide for x and there you are.</span>Source(s):Myself.1004 <span>· 8 years ago
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I do not understand how to solve it
