Answer:
Amish driving buggies and using horses and mules instead of tractors
Step-by-step explanation:
Answer: The correct option is (B) 24 : 25.
Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.
We are to find the ratio of the area of R to the area of S.
Let 2x, 3x be the sides of rectangle R and y be the side of square S.
Then, according to the given information, we have

Therefore, the ratio of the area of R to the area of S is
![\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%5Ctimes3x%7D%7By%5Ctimes%20y%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B5x%5E2%7D%7By%5E2%7D%5C%5C%5C%5C%5C%5C%3D6%5Cleft%28%5Cdfrac%7Bx%7D%7By%7D%5Cright%29%5E2%5C%5C%5C%5C%5C%5C%3D6%5Ctimes%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%5E2~~~~~~~~~~~%5B%5Ctextup%7BUsing%20equation%20%28i%29%7D%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B24%7D%7B25%7D%5C%5C%5C%5C%3D24%3A25.)
Thus, the required ratio of the area of R to the area of S is 24 : 25.
Option (B) is CORRECT.
Answer:
3.71 cm
Step-by-step explanation:
Hi there!
Area of a circle equation:
where r is the radius
Plug in the area 43.25 cm²

Divide both sides by π to isolate r²

Take the square root of both sides to isolate r

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.
I hope this helps!
The measure of arcPR and arcRPT are 83 and 208 degrees respectively
The measure of arc ST will be gotten using the expression below:
arcPS = arcPT + arcST
Given the following
arcST = arcPS - arcPT
arcST = 180 - 125
arcST = 55 degrees
Similarly, arcPR = 180 - arcRS
arcPR = 180 - 97
arcPR = 83 degrees
arcRPT = arcPR + arcPT
arcRPT = 83 + 125
arcRPT = 208 degrees
Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively
Learn more about circles here: brainly.com/question/24375372