By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.
<h3>How to find an angle in an unit circle</h3>
<em>Unit</em> circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and <em>trigonometric</em> functions related to them. If we use <em>rectangular</em> coordinate system and the definition of the <em>tangent</em> function, we find that the angle OA is equal to:
tan θ ≈ 77.173°
By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.
To learn more on unit circles: brainly.com/question/12100731
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Answer:
Step-by-step explanation:
The graph below is how you label the points, where to put them and the line that you need to draw to get the points.
Everything is laid out for you to copy. Start at the lower right and go to the to the upper left on your table.
Answer:
![\sqrt[3]{7x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7x%7D)
Step-by-step explanation:
Given
Required
The radical statement
Cube root is represented as:
![\sqrt[3]{}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%7D)
Considering , the expression is:
It probably is 195 but the answer choices aren't supposed to be negative
Answer:
10 ft by 12 ft
Step-by-step explanation:
This problem requires you to first write an equation to represent the situation. Here we will represent the shorter side of the doghouse with the variable x, the longer side will be represented with x+2 because it is 2 feet longer.
48 = x * (x+2)
This represents the area of the doghouse as the product of the width and length of the doghouse.
48 = x^2 + 2x
Now, we need to move all the items onto one side of the equals sign, it is best to have the x^2 be positive.
0 = x^2 + 2x - 48
Now, we factor to find what x equals.
0 = (x-6) * (x+8)
From here, we can use each of the terms in parentheses to solve for x.
0 = x-6
x = 6
0 = x+8
0 = -8
Here we know that the shorter side has to be 6 ft because length is a positive number, and we can determine that the longer side is 8 ft because it is 2 ft longer. The dimensions of the slab are therefore 10 ft by 12 ft because the slab is 2 ft on each side, therefore adding an extra 4ft to the dimensions because the 2ft is added on each side.
