Answer:
Step-by-step explanation:
The ratio of the number of fiction books is 9:4
the difference between the number of fiction and nonfictionn is 245
so if the number of fiction books = 9x
then the number of nonfiction books = 4x
then difference = 9x-4x = 5x
the difference is given 245
then 5x= 245
x==49
number of fiction books =49×9=441
number of nonfiction books =49×4=196
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Your answer would be 18.1 cm.
To find this length you have to notice that AC is the hypotenuse of the right-angled triangle ACD. This means that we can find it by using Pythagoras' Theorem (a² + b² = c²), however we need to find the length CD.
We can also find the length CD using Pythagoras' Theorem, because the length CD is the same as the base of the triangle at the top if the shape was split into a rectangle and a triangle.
The height of this triangle would be 11 - 4 = 7 cm, which means we can find CD by doing:
16² - 7² = 256 - 49 = 207 = CD²
Now we can find AC by doing √(CD² + 11²) = √(207 + 121) = √368 = 18.1
I hope this helps! Let me know if you have any questions :)
