Hello thank you for the free points :3
You need the Law of Cosines here and you use it when you have 2 sides and an enclosed angle. The side across from the angle is the one we are looking for. The correct way to express the Law using what we have is the last choice above. Side RT is the unknown, and it is across from the angle that is enclosed between the 2 other sides.
Answer:
The decimal number is 0.964
Step-by-step explanation:
we have
![9(\frac{1}{10})+ 6(\frac{1}{100})+4(\frac{1}{1,000})](https://tex.z-dn.net/?f=9%28%5Cfrac%7B1%7D%7B10%7D%29%2B%206%28%5Cfrac%7B1%7D%7B100%7D%29%2B4%28%5Cfrac%7B1%7D%7B1%2C000%7D%29)
step 1
Multiply each fraction by the whole number
![(\frac{9}{10})+ (\frac{6}{100})+(\frac{4}{1,000})](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B10%7D%29%2B%20%28%5Cfrac%7B6%7D%7B100%7D%29%2B%28%5Cfrac%7B4%7D%7B1%2C000%7D%29)
step 2
Convert each fraction in a decimal number
Remember
Move the decimal point to the left as many places as there are zeros in the factor.
Move the decimal point one step to the left (10 has one zero).
Move the decimal point two steps to the left (100 has two zeros)
Move the decimal point three steps to the left (1000 has three zeros)
![0.9+0.06+0.004](https://tex.z-dn.net/?f=0.9%2B0.06%2B0.004)
step 3
Adds the number
![0.964](https://tex.z-dn.net/?f=0.964)