There are 13 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio? (PICTURE)
2 answers:
Answer
A= Or 5:13
B= or 5:8
Step-by-step explanation:
the question asked for you to show the ratio for the number of used books compared to the total number on the shelf. Since it tells us that 8 of the 13 books are new that would mean that the other 5 books that are on the shelf with the 8 new ones would be used. Then you just put it in a ratio, which if im remembering correctly from when i learned this it just looks like a fraction basically. Same goes for the second question except you are just putting the number of used books to the number of new books in ratio form. Hope this helps and also if you need help learning ratios i gotchu covered :)
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This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
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OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.