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:
Propability of getting either sum is 2/9
Step-by-step explanation:
Well, we know that there are 36 total arrangements of the two six sided die. So we have a possibility of 3,4 and 4,3. Likewise, we have a possibility of 5,2 and 2,5. We also have a possibility of 1,6 and 6,1. That takes care of the probability That you get two die that add up to 7. Now for 11, you have 5,6 and 6,5. So since you asked for the probability of getting either or, you add all the probabilities, which is 6/36+2/36=8/36=2/9. So the probability of getting either sum is 2/9.
Answer:
t= - 48
Step-by-step explanation:
t/8 - 6= -12 add 6 to both side
t/8= -6 multiple by 8
t= -48
The answer is B. a liter is 1000cm3 so 5455 cm3 is 5455/1000= 5.455L
25% because it’s unlikely
