40/3 or 13.333333- your welcome
3 ounces of 80-proof rum approximately contains 200,000 cal.
Now, we need to convert the cal into kcal. We know that:
1 cal = 1000 kcal
Therefore,
200,000 cal = 200 kcal
Answer:

Step-by-step explanation:
Given
Let the number be x
So:

Required
Using trial and improvement, find x
This implies that we keep guessing the values of x until we get a value that match the equation.
Let

So, we have:


Take the square root of 625



Let

So, we have:


Take the square root of 729



At this point, we can conclude that x is approximately 729 because

So:

Answer:
Distance covered by the bird before meeting the water is: 51.264 ft
Step-by-step explanation:
Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.
Such hypotenuse is (using Pythagoras theorem):

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.
The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:
So we make the proportion between known legs, and hypotenuses:
