Jason is 11 years old. His older brother is 5 years less than twice as old as he is. How old is Jason's older brother? In 3 year
1 answer:
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Answer:
- x = 1
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
- The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
∵ cos (60°) = 1/2
Dividing both sides by 2
Simplify
Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵
Therefore, the value of y is:
Summary:
- x = 1
Answer:
The radius is:
Step-by-step explanation:
The equation of a circle in center-radius form is:
Where the center is at the point (h, k) and the radius is "r".
So, given the equation of the circle:
You can identify that:
Then, solving for "r", you get that the radius of this circle is: