The formula of a volume of a rectangle prism:
![V=lwh](https://tex.z-dn.net/?f=V%3Dlwh)
l - length
w - width
h - height
We have
![l=n^2+2;\ w = 10,\ h=n+5](https://tex.z-dn.net/?f=l%3Dn%5E2%2B2%3B%5C%20w%20%3D%2010%2C%5C%20h%3Dn%2B5)
Substitute:
![V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100](https://tex.z-dn.net/?f=V%3D%28n%5E2%2B2%29%2810%29%28n%2B5%29%3D%2810n%5E2%2B20%29%28n%2B5%29%5C%5C%5C%5C%3D%2810n%5E2%29%28n%29%2B%2810n%5E2%29%285%29%2B%2820%29%28n%29%2B%2820%29%285%29%5C%5C%5C%5C%3D10n%5E3%2B50n%5E2%2B20n%2B100)
<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>
Answer:
x=3
Step-by-step explanation:
First, combine like terms on the left side
4x-5x+9=5x-9
-x+9=5x-9
Subtract 9 on both sides
-x=5x-18
Subtract 5x on both sides
-6x= -18
Divide by -6 on both sides
x=3
Hope this helps! :)
Step-by-step explanation:
The lines have different slopes
<em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>,</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
To enable a set of three numbers to represent three sides of a triangle, sum of smaller two numbers must be greater than the largest number. Hence, only C can represent a triangle.
⚪ The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees
<em><u>The answer is none</u></em>