Answer:
1,038 in2
Step-by-step explanation:
In a regular hexagon, the radius and side length are equal in length... That makes the answer 1038 in.2 correct?
Answer:
The quotient = 4x - 17 and the remainder = 54
Step-by-step explanation:
![\frac{4x^{2}-5x+3 }{x+3}=4x+\frac{-17x+3}{x+3}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B2%7D-5x%2B3%20%7D%7Bx%2B3%7D%3D4x%2B%5Cfrac%7B-17x%2B3%7D%7Bx%2B3%7D)
![\frac{-17x+3}{x+3}=-17+\frac{54}{x+3}](https://tex.z-dn.net/?f=%5Cfrac%7B-17x%2B3%7D%7Bx%2B3%7D%3D-17%2B%5Cfrac%7B54%7D%7Bx%2B3%7D)
The quotient = 4x - 17 and the remainder = 54
9514 1404 393
Answer:
{-8, -4, -2, -1, 1, 2, 4, 8}
Step-by-step explanation:
Possible rational roots are positive and negative divisors of the constant 8:
{-8, -4, -2, -1, 1, 2, 4, 8}
_____
<em>Additional comment</em>
This polynomial has no rational roots. Its two real roots are both negative and irrational.
Answer:
There are 3478761 ways to select the first 5 numbers
Step-by-step explanation:
As understood from the statement of this problem we assume that it does not matter the order in which the first 5 white balls are selected.
In this case it is a combination.
So, what we want to know is how many ways you can choose 5 white balls out of 55.
Then we use the formula of combinations:
![C(n, x) = \frac{n!}{x! (n-x)!}](https://tex.z-dn.net/?f=C%28n%2C%20x%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%20%28n-x%29%21%7D)
Where you have n elements and choose x from them.
Then we look for:
![C(55, 5) = \frac{55!}{5!(55-5)!}\\\\C(55, 5) = \frac{55!}{5!(50)!}\\\\C(55, 5) = 3478761](https://tex.z-dn.net/?f=C%2855%2C%205%29%20%3D%20%5Cfrac%7B55%21%7D%7B5%21%2855-5%29%21%7D%5C%5C%5C%5CC%2855%2C%205%29%20%3D%20%5Cfrac%7B55%21%7D%7B5%21%2850%29%21%7D%5C%5C%5C%5CC%2855%2C%205%29%20%3D%203478761)
The circumference of a circle is found with the equation
C = 2 pi * r
Since we have the circumference we can find the radius. Then once we have the radius we can determine the diameter.
9619 = 2 (22/7) r
multiply each side by 7
67333 = 2*22*r
67333 = 44r
divide each side by 44
r = 67333/44 = 1530.295 rounded to the nearest hundredth = 1530.30
The diameter is 2 x the radius, so
1530.30 x 2 = 3060.6 ft
The diameter of the crater is 3060.6 ft