Answer:
About 0.559 seconds
Step-by-step explanation:
The height equation is:

Where
is the initial height of the book, which is 5, so we can write:

Now, we want time it took for the book to reach ground (h = 0)
So, we substitute h = 0 and solve for t:

It took about 0.559 seconds for the book to reach the ground
Answer:
A
Step-by-step explanation:
6/x* 5/(2x+1) = 30/ 2x^2+x
Find the area of the triangles and smal ler square and add them together ; and find the area of the complete square and set them equal to each other (these are known truths)
triangle: l×w /2
square: s^2
There are 4 triangles so
4 (1/2ab)+c^2= (a+b)(a+b)
simplify
2ab+c^2= a^2+2ab+b^2
-2ab both sides
c^2=a^2+b^2
tada!! it's proven :)
Answer:
8, 16, 64
Step-by-step explanation:
8 = 2^3 . . . a perfect cube
16 = 4^2 . . . a perfect square
32 = 2^5 . . . neither a cube nor a square
64 = 2^6 = 4^3 = 8^2 . . . both a perfect cube and a perfect square
128 = 2^7 . . . neither a cube nor a square