Answer
given,
side of rectangle, AB = CD = 32
BC = DA = 24
rectangle is rotated 90° clockwise about C.
then rotated 90° clockwise about D.
Path traveled by the point A for first rotation will be in circle with radius AC.
![D_1 = \dfrac{\theta_1}{360^0}\times \pi \times {AC}^2](https://tex.z-dn.net/?f=D_1%20%3D%20%5Cdfrac%7B%5Ctheta_1%7D%7B360%5E0%7D%5Ctimes%20%5Cpi%20%5Ctimes%20%7BAC%7D%5E2)
![AC = \sqrt{24^2+32^2}](https://tex.z-dn.net/?f=AC%20%3D%20%5Csqrt%7B24%5E2%2B32%5E2%7D)
AC = 40
θ₁ = 90°
![D_1 = \dfrac{90^0}{360^0}\times \pi \times {40}^2](https://tex.z-dn.net/?f=D_1%20%3D%20%5Cdfrac%7B90%5E0%7D%7B360%5E0%7D%5Ctimes%20%5Cpi%20%5Ctimes%20%7B40%7D%5E2)
D₁ = 1256.64
For the second rotation Point A will move in circular path with radius of AD
![D_2 = \dfrac{\theta_2}{360^0}\pi {AD}^2](https://tex.z-dn.net/?f=D_2%20%3D%20%5Cdfrac%7B%5Ctheta_2%7D%7B360%5E0%7D%5Cpi%20%7BAD%7D%5E2)
AD = 24
θ₁ = 90°
![D_2 = \dfrac{90^0}{360^0}\times \pi \times {24}^2](https://tex.z-dn.net/?f=D_2%20%3D%20%5Cdfrac%7B90%5E0%7D%7B360%5E0%7D%5Ctimes%20%5Cpi%20%5Ctimes%20%7B24%7D%5E2)
D₂ = 452.39
total path traveled by the point A
D = D₁ + D₂
D = 1256.64 + 452.39
D = 1709.03
Answer:
1530
Step-by-step explanation:
multiply 10,9,9 which would be 810
then multiply 18,4,10 which would be 720
then add together
Answer:
correct
Step-by-step explanation:
negative integers are still rational numbers if it is a whole number or complete
Answer:
b is correct answer
Step-by-step explanation:
hope it helped
The answer is A. If you add all the numbers up at the top you will see the top of the box length is 52. Multiply 52 with 38 and you get 1976. The to find the surface area of the little boxes you do 10x16 which is 160. Since there are two little boxes you add them to be 220. Then add 220 with 1976 to get the final answer.