Answer:
7.722 cm^2
Step-by-step explanation:
Step 1: Find the area of the square.
- Area of square = s^2, where s = side
- 6^2 = 36 cm^2
Step 2: Find the area of the circle.
- We are given the diameter of the circle as 6 cm, so the radius must be 3 cm.
- Area of circle is
, so now we plug in and simplify. 
Step 3: Subtract area of circle from area of square.
Therefore, the area of the shaded region is 7.722 cm^2.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
<span>-12+2b=12-6b
-12+8b=12
8b=24
b=3</span>
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
