Answer:
See answers below for explanations (answers are in bold)
Step-by-step explanation:
<u>Problem 1 (Top left):</u>
Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer
<u>Problem 2 (Top right):</u>
Again, we use the same equation as in Problem 1 but this time, a=12 and b=8, so we then have A = π(8)(12) = 96π = 301.593 units^2 as our final answer
<u>Problem 3 (Bottom left):</u>
We can make this irregular shape into a half-ellipse and a rectangle. We would find their separate areas and add them up. The area of the half-ellipse would be A=1/2πab. The value of "a" would be 13.8/2=6.9 since that's the length of the rectangle. The value of "b" would be 3.5, so that means the area of the half-ellipse would be A = 1/2(π)(6.9)(3.5) = 12.075π = 37.935 units^2. The width and length of the rectangle are 5.4 and 13.8 respectively, so this means the area of the rectangle is 5.4*13.8 = 74.52 units^2. Combining both areas, we get 37.935+74.52 = 112.455 units^2 as our final answer
<u>Problem 4 (Bottom right):</u>
This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2
During the Persian Wars, the Greek army was weakened and then defeated by the Persians. This led to a decrease in the influence of Greece in Asia Minor.
During this time, Macedonia was one of the strongest states in Greece, and it had control over most of mainland Greece. The empire that emerged from this period is called Macedonian Empire. This empire lasted for another 300 years until its conquest by Rome around 148 BC.
The rise of Macedonia as a major power during this period also gave way to many internal conflicts between different tribes within the kingdom which led to increased military spending on them (cavalry). However, when Roman legions were sent into Asia Minor they easily crushed these armies and destroyed much of their infrastructure including fortifications and roads (roads were built under Alexander's reign but they fell apart quickly). This made it very difficult for any future armies or empires to hold onto territory once conquered.
So I think your question has been answered! Thanks!
D for the same reason percents
To find the length of one side calculate the square root of 20
The answer is B (4,800)
Why?
Because we divide 3,500 feet by 5 and that will give us 600. Why we had to divide is because we need to find how many feet in minutes. So we do 600 times 8 and that gives us 4,800. Please mark me as branlist! Hope this helped! :)
