Let's start by finding the total length of the hoses that Melanie connected.
- Brown hose: 10.75 feet
- Green hose: 16.4 feet
- Black hose: 8.5 feet
Now, we can add these lengths together:
\[ 10.75 + 16.4 + 8.5 = 35.65 \text{ feet} \]
The total length of the hose is indeed 35.65 feet.
Now, to determine if Melanie can reach her vegetable garden, we compare the total hose length to the distance to her garden (33 feet):
\[ 35.65 \text{ feet} > 33 \text{ feet} \]
Since 35.65 feet is greater than 33 feet, yes, Melanie will be able to water her vegetables.