It is the second option, giving brainiest rewards you with points:)
Its a 2.2 chance that your group orders meat toppings because the chances of probability get lower as each person chooses and multiplying all three probabilities you get 2.2
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:Let the two unknown numbers be x and y.
So, x-y=40 ........Equation 1
And 0.3(x)= 37.5/100 (y)
From equation 1, x=40+y
Now, multiply through by 100 in equation 2.
We have,
30x = 37.5 (y)
We can multiply through by 10 again,so that the number on the L.H.S becomes a whole number.
Therefore, we have
300x = 375 (y)
Put "x=40+y" in the equation above
That is, 300 (40+y) = 375 (y)
1200 + 300y = 375y
1200 = 375y - 300y
1200 = 75y
Divide both sides by 75 to get your y
Therefore, y =16
From equation 1, we had x= 40 + y
Therefore X = 40 + 16
X= 56
Therefore the two unknown numbers are 56 and 16 respectively.
Step-by-step explanation:
Total Time = (M x K) / (M + K)
5 = (8 x K) / (8 + K)
40 + 5 K = 8K
40 = 3K
King can do the job in 13.33 Hours
King could mow (1 / 13.33) of the lawn in one hour.
