The answer is 3/5, or 60%
11 (comedies) + 19 (tragedies) = 30
30/50 = 3/5, or 60%
Answer:
Step-by-step explanation:
You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4. You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.
Please note: the middle cube has been mislabeled. Instead of volume = 30 units^3, the volume should be 45 units^3.
Here's the procedure:
Guess an appropriate s value. Let's try s = side length = 3.5
Cube this: (3.5 units)^3 = 42.875. Too small. Choose a larger possible side length, such as 3.7: 3.7^3 = 50.653. Too large.
Try s = 3.6: 3.6^3 = 46.66. Too large.
Choose a smaller s, one between 3.5 and 3.6: 3.55^3 = 44.73. This is the best estimate yet for s. Continue this work just a little further. Try s = 3.57. Cube it. How close is the result to 45 cubic units?
2p² - p - 10 = 0
2 = a
- 1 = b
- 10 = c
To factor, find two numbers that multiply to equal a·c and also that have a sum of b
2p² + 4p - 5p - 10 = 0
2p (p + 2) - 5 (p + 2) = 0
<h3>Answer: ( 2p - 5 ) ( p + 2 ) = 0</h3>
