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
Answer:
4 seconds.
Step-by-step explanation:
Let t be the time in seconds when the cheetah catches the antelope.
-Cheetah's speed is 90ft/s and the antelope's is 60ft/s with a 120ft distance between them.
#The expression of the distance of the two when they catch up is;

#Since the distance of the two will be equal at that point:

Hence, the Cheetah catches the antelope after 4 seconds.
For the first question:Using the distance=rate x time formula (d=rt). Your equation would be y=38x. The 38 comes from the kathryn’s speed(rate).
For the second question: because you know the distance is now 53 substitute 53 for y and solve. 53=38x. Where x represents her time. She travels the 53 miles at a rate of 38mi/h (53 divided by 38) and solve in terms of hours 1.3947or rounded to the nearest tenth 1.4 which in terms of hours is 1 hour 24 minutes.