The formula of a volume of a rectangular prism: V = lwh
l - length
w - width
h - height
We have the volume:
![V=6x^3-x^2-2x=x(6x^2-x-2)=x(6x^2+3x-4x-2)\\\\=x[3x(2x+1)-2(2x+1)]=x(2x+1)(3x-2)\\\\Answer:\ \boxed{A.\ Height:3x-2,\ Length:2x+1,\ Width:x}](https://tex.z-dn.net/?f=V%3D6x%5E3-x%5E2-2x%3Dx%286x%5E2-x-2%29%3Dx%286x%5E2%2B3x-4x-2%29%5C%5C%5C%5C%3Dx%5B3x%282x%2B1%29-2%282x%2B1%29%5D%3Dx%282x%2B1%29%283x-2%29%5C%5C%5C%5CAnswer%3A%5C%20%5Cboxed%7BA.%5C%20Height%3A3x-2%2C%5C%20Length%3A2x%2B1%2C%5C%20Width%3Ax%7D)
6 X 4= 24 is the amount of carrots
6 X 2= 12 is the amount of potatoes
6 X 6= 36 is the total
Answer:
2
Step-by-step explanation:
7x + 3 = 8x + 1
2 = x
these are geometry problems.
The distance between the boat and the ocean's floor is 19m
<h3>
How to get the distance from the ship to the ocean's floor?</h3>
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
