System:
y ≤ -x + 4
y >
x
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.
Answer:
Multiply
Step-by-step explanation:
Ah! I love these questions!
To find the area of the shaded region, you must find the area of the circle. Then, you must find the area of the triangle inscribed in the circle. Lastly, you must subtract the area of the triangle from the area of the circle.
Area of Circle:
x
=
x 10^2
=
x 100
Usually these problems will not require you to convert pi into a decimal, but if it does, then the area of the circle would be 314.
Area of Equilateral Triangle:
To find the side, draw a perpendicular line from the center to a side of a triangle. This line will create two more triangles inside the big triangle. You will notice how in these smaller triangles, the angles are 30, 60, 90. From that we can deduce that half the length of a side is 5
because of the 30, 60, 90 ratio. Multiply that by 2 to get 10
as the length of the side of the large triangle. Now substitute this value into the formula above.
Final Answer: 100
- 75
THE AWNSER WILL BE 50 YOU TIMES IT BY 2 SO 2 TIMES 25 IS 50 IM IN COLLEGE PEPS I KNOW EVERYTHING
Cosine of angle A is also x
This is because the sine is opposite over hypotenuse and cosine is adjacent over hypotenuse so both sine and cosine in this example are asking for the same side over the hypotenuse which means cosine of angle A will be the same as sine of angle B
I believe this is correct but I may be wrong, let me know what it ends up being!
