Answer:
2.5, -2.61, 0.81, -0.12
Step-by-step explanation:
The taylor series of the function sin(x) around zero is given by

Therefore,
![\sin(\frac{5}{2})=\dfrac{5}{2}-\dfrac{[\frac{5}{2}]^3}{3!}+\dfrac{[\frac{5}{2}]^5}{5!}-\dfrac{[\frac{5}{2}]^7}{7!}+...](https://tex.z-dn.net/?f=%5Csin%28%5Cfrac%7B5%7D%7B2%7D%29%3D%5Cdfrac%7B5%7D%7B2%7D-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E3%7D%7B3%21%7D%2B%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E5%7D%7B5%21%7D-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E7%7D%7B7%21%7D%2B...)
hence the first four nonzero terms of the series are
![\dfrac{5}{2}=2.5\\\\-\dfrac{[\frac{5}{2}]^3}{3!} \approx -2.61\\\\\dfrac{[\frac{5}{2}]^5}{5!} \approx 0.81\\\\-\dfrac{[\frac{5}{2}]^7}{7!} \approx -0.12](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B2%7D%3D2.5%5C%5C%5C%5C-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E3%7D%7B3%21%7D%20%5Capprox%20-2.61%5C%5C%5C%5C%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E5%7D%7B5%21%7D%20%5Capprox%200.81%5C%5C%5C%5C-%5Cdfrac%7B%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E7%7D%7B7%21%7D%20%5Capprox%20-0.12)
Answer: Show below
Step-by-step explanation: The door frame is a rectangle. The diagonals of a rectangle are congruent. She can measure the two diagonals and make sure they are congruent.
Credit: mathstudent55
Ths answer was copied from mathstudent55
To go from A to A ', we shift 6 units to the right. Put another way, shift every point that makes up figure A and you get to figure A '.
In terms of coordinate geometry, we're adding 6 to each x coordinate. The y coordinate stays the same.