A one-litre milk carton is one quarter full. How much milk is left in the carton?
1 answer:
You might be interested in
Answer:
10.7 feet
Step-by-step explanation:
The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.
The hypotenuse of the triangle is 14 feet (length of ladder)
The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)
We need to find the height of the triangle. We can apply Pythagoras rule:
where hyp = hypotenuse
a = base of the triangle
b = height of the triangle
Therefore:
The wall reaches 10.7 feet high.
The next term is double the previous term, so that the -th term is given recursively by
This rule tells us that
and so on, with the explicit rule
for .
If 512 is the -th term in the sequence, then
First, turn into an improper fraction with a denominator of 4, which matches
.
Now, just add the numerators.