Answer:
θ = 52.71° or 232.71°
In radians
θ = 0.2928π rad or 1.2928π rad
That is,
θ = 0.92 rad or 4.06 rad
Step-by-step explanation:
Cot θ = 0.7615 for 0 ≤ θ ≤ 2π
Note that Cot θ = (1/tan θ)
(1/tan θ) = 0 7615
tan θ = (1/0.7615) = 1.3132
θ = tan⁻¹ (1.3132) = 52.71°
But, note that tan is also positive in the 3rd quadrant, hence,
θ is also equal to 180° + 52.71° = 232.71°
θ = 52.71° or 232.71°
We now convert to radians
360° = 2π
52.71° = (52.71 × 2π)/360 = 0.2928π = 0.92 radian
232.71° = (232.71 × 2π)/360 = 1.2928π = 4.06 radians
Hope this Helps!!!
In the given diagram, the value of x is 15
<h3>Circle Geometry </h3>
From the question, we are to determine the value of x
From one of the circle theorems, we have that
Opposite angles of a cyclic quadrilateral are supplementary.
Thus, in the diagram
5x + 7x = 180°
12x = 180°
x = 180°/12
x = 15
Hence, the value of x is 15
Learn more on Circle Geometry here: brainly.com/question/27884509
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Answer:
Option (A)
Step-by-step explanation:
Parent function is given as G(x) = x²
If this function is reflected over the x-axis then the new function will be,
G'(x) = -x²
Then shifted 2 units right,
G"(x) = -(x - 2)²
Followed by the shifting of 1 unit down,
F(x) = -(x - 2)² - 1
Therefore, translated function of the given parent function will be,
F(x) = -(x - 2)² - 1
Option (A) is the answer.
Answer:
76.8 words per minute
Step-by-step explanation:
c. must be renewed periodically
hope this helps!!