The measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a right-angle triangle shown in the picture.
From the sin ratio:
sinx = side opposite to angle/hypotenuse
sinx = 12/18.6 = 0.645
x = sin⁻¹(0.645)
x = 40.17≈ = 40.2 degrees
Thus, the measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.
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Answer:
x=9
Step-by-step explanation:
The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.
First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.
There are 28 students in the larger class.
Let's assume the number of students in one class is x.
Since the other class has 6 more students, the number of students in the other class is x + 6.
The total number of students in both classes is 50.
Therefore, we can write the equation:
x + (x + 6) = 50
2x + 6 = 50
Subtracting 6 from both sides:
2x = 44
Dividing both sides by 2:
x = 22
So, the number of students in the larger class, which is x + 6, is:
22 + 6 = 28
Therefore, there are 28 students in the larger class.
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