Circumference = 2 * PI * radius
circumference = 2 * PI * 12.6
If the central angle is 120°, then the arc will be exactly one third of the circumference.
arc length = (2 * PI * 12.6) / 3
arc length = 8.4 PI
Please find the attachment.
Let x represent the side length of the squares.
We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.
The side of box will be
and
.
The height of the box will be
.
The volume of box will be area of base times height.

Now we will use FOIL to simplify our expression.


Now we will distribute x.


Therefore, the volume of the box would be
.
Answer:
By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.
You need to estimate the square root of 200 ft². Rewrite 200 as 2 x 100, then square root of (2*100) is:
10*sqrt(2). The sqrt(2) = 1.414, so the length of each side of the square will be 10*1.414 = 14.14 ft or about 14 ft.
Answer:
1
Step-by-step explanation:
say you don't have a dog.. your parents get you one dog, and then get you another, you now have 2 :)