Answer:
A =5538.96 in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the radius is 42 and pi is approximated by 3.14
A = 3.14 * 42^2
A =5538.96 in^2
Answer:
13
Step-by-step explanation:
First, to find out how many book fit on one shelf, you will need to divide the total number of books by the toal number of shelves:
36 books / 3 shelves = 12 books/shelf
Because the question says that the bookstore order <em>another</em> 120 copies, this is means that the 120 books is in addition to the original 36 books.
Because we already know that the 36 books require 3 shelves, we still need to find how many shelves 120 books needs. So, we can divide books by number of how many books <em>can</em> fit on a shelf:
120 books / 12 books per shelf = 10 shelves
So to find the total number of shelves needed, add the number of shelves together:
3 + 10 = 13 shelves
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Answer:
25.6 ft
Step-by-step explanation:
Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.
But you can use trigonometry.
The broken tee and trunk form a right triangle with the ground.
The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.
So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.
You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).
Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:
h+=+10%2FSin%2840%29
h+=+10%2F0.643
h+=+15.6ft.
Now add this to the 10-ft stump:
10+15.6 = 25.6 ft.
The tree was 25.6 ft originally.
