Answer:
b
Step-by-step explanation:
The inscribed angle 36°m is half the measure of its intercepted arc, that is
b = 2 × 36 = 72
c = 360 - (108 + 72) = 360 - 180 = 180 ( total sum of arcs in a circle )
The angle between a tangent and the radius of a circle at the point of contact is 90° , then
d = 90
Thus b = 72, c = 180, d = 90 → b
<span>I believe the answer is 60.75pi, calculated as follows:</span>
Area of Circle: (9 * 9) * pi = 81pi
Area of Shaded Area = (90 / 360) * 81p = 20.25pi
81pi - 20.25pi = 60.75pi
Answer: 
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:
You must observe the figure given in the exercise.
You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).
So, you can identify in the figure that:
Knowing these values, you can substitute them into :
Now you must evaluate:
Finally, rounding to the nearest hundreth, you get:
Answer:
About 15%
Step-by-step explanation:
3 divided by 19 is 0.1578947368421053
0.1578947368421053 multiplied by 100 is 15.78947368421053.
Create expressions for the length and width of the rectangle.
- length (l): x - 6
- width (w): x
Perimeter: 2l + 2w
Substitute (x - 6) for l and (x) for w.
Distribute 2 inside the parentheses.
Combine like terms.
Add 12 to both sides.
Divide both sides by 4.
Substitute 16 for x into the length and width of the rectangle.
- length: (16) - 6 = 10
- width: (16) = 16
