Answer:
![125i](https://tex.z-dn.net/?f=125i)
Step-by-step explanation:
We want to find
![5^3i^9](https://tex.z-dn.net/?f=5%5E3i%5E9)
This can be rewritten as;
![5^3i^8\times i](https://tex.z-dn.net/?f=5%5E3i%5E8%5Ctimes%20i)
![5^3(i^2)^4\times i](https://tex.z-dn.net/?f=5%5E3%28i%5E2%29%5E4%5Ctimes%20i)
Recall that; ![i^2=-1](https://tex.z-dn.net/?f=i%5E2%3D-1)
![5^3(-1)^4\times i](https://tex.z-dn.net/?f=5%5E3%28-1%29%5E4%5Ctimes%20i)
We evaluate now to obtain;
![125(1)\times i=125i](https://tex.z-dn.net/?f=125%281%29%5Ctimes%20i%3D125i)
Answer:
The building is 187.5 feet tall.
Step-by-step explanation:
A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.
This means that the relation between the real height and the shadow is given by:
![\frac{6}{8} = \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B8%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
A tall building casts a shadow that is 250 feet long. How tall is the building?*
The real height is three fourths of the shadow. So
![\frac{3}{4}*250 = 187.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%2A250%20%3D%20187.5)
The building is 187.5 feet tall.
Answer: 46
Step-by-step explanation:
Largest prime number: 97
Smallest prime number: 51
97-51 = 46
C, or the last photo, shows a reflection.