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: An estimate or approximate number
Step-by-step explanation:
The formulas and the equivalent formulas are
W = X - Y X = W +Y
W = X/Z - Y X = Z(W + Y)
W = (X - Y)/Z X = WZ+Y
W = XY X =W/Y
<h3>How to match the formulas?</h3>
To do this, we simply make X the subject of the formula in expressions on the left.
So, we have:
W = X - Y
This gives
X = W + Y
W = X/Z - Y
This gives
X/Z = W + Y
X = Z(W + Y)
W = (X - Y)/Z
This gives
X - Y = WZ
X = WZ + Y
W = XY
This gives
X =W/Y
Read more about equivalent expressions at:
brainly.com/question/27733205
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<u>Complete question</u>
Match each formula on the left with an equivalent formula on the right.
W = X - Y X =W/Y
W = X/Z - Y X = Z(W + Y)
W = (X - Y)/Z X = WZ+Y
W = XY X = W +Y
Answer:
<em>5,9,13,17,21</em>
Step-by-step explanation:
We can the values in "n"
a(1)=4(1)+1
a(1)=5
a(2)=4(2)+1
a(2)=9
a(3)=4(3)+1
a(3)=13
a(4)=4(4)+1
a(4)=17
a(5)=4(5)+1
a(5)=21
As you can see, each value consecutively increases by 4, this is also known as the common difference (d).
