Hey there! I'm happy to help!
Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.
We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.
x=sin(1/5)
x≈ 11.536959
2x≈ 23.073918
Now, we just cosine this value.
cos2x≈ 0.92
I hope that this helps! Have a wonderful day!
Answer:
22.8620689655
Step-by-step explanation:
The piece of plywood is a square, 10 inches on each side.
Its area is (10 x 10) = 100 square inches.
You can cut a circle out of it with any size you want, as long as
the diameter of the circle is not more than 10 inches. You didn't
tell us what size circle, so I'll assume that you cut out the biggest
possible circle.
Diameter = 10 inches
Radius = 5 inches
Area of any circle is (pi) x (radius)²
Area = (pi) x (5)²
Area = (pi) x (25) = <em>78.5 square inches</em> .
The rest of the plywood is scrap.
You discard (100 - 78.5) = <em>21.5 square inches</em>.
(By the way ... you cut out a disk, not a circle.)
Option D.
First We need to find the center of the circle using midpoint formula.
2) we have to find the radius
3)substitute it in the equation of circle.