Answer:
2 4/15 pints
Step-by-step explanation:
Caden has 3 2/3 pints of water in a pitcher.
He has 1 2/5 pints of water left in the pitcher.
The amount of water he poured is calculated as
3 2/3 - 1 2/5
3 - 1 + (2/3 - 2/5)
Lowest Common Denominator is 15
2 + (5 × 2 - 3×2/15)
2 + (10 - 6/15)
2 + (4/15)
= 2 4/15 pints
He poured 2 1/15 pints of water.
Answer:
The ladder will reach 4.6 ft up the tree.
Step-by-step explanation:
When we draw out our triangle, we should see that we are given the horizontal leg and are trying to find the vertical leg. We use tan∅ to help solve:
tan53° = x/3.5
3.5tan53° = x
x = 4.64466
Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that

Also,

Since the medians are perpendicular, we deduce that:

Then, since
The answer is A.
Hope it helps