Anytime Y is greater than X
SOH CAH TOA tells you
... cos(B) = a/c
... 4/5 = 8/c
... c = 10 . . . . . multiply by 5c/4
By the Pythagorean theorem,
... b = √c² -a²) = √(10² -8²) = √36 = 6
The lengths of the other two sides are: b = 6, c = 10.
_____
You can tell from the value of the cosine that this is a 3-4-5 right triangle. You can tell from the value of "a" that the scale factor is 2. That means the other two sides are 6 and 10.
Answer:
25000
Step-by-step explanation:
Because you round in thousands since the 5 is in the thousandths place.
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)
The line that passes through (0 1) and (1 4) is a linear equation
The equation of the points is y = 3x + 1
<h3>How to determine the equation of the points?</h3>
The points are given as:
(x,y) = (0 1) and (1 4)
Start by calculating the slope (m)
m = (y₂ - y₁)/(x₂ - x₁)
So, we have:
m = (4 - 1)/(1 - 0)
Evaluate
m = 3
The equation is then calculated as:
y = m(x - x₁) + y₁
This gives
y = 3(x - 0) + 1
Evaluate the product
y = 3x + 1
Hence, the equation of the points is y = 3x + 1
Read more about linear equations at:
brainly.com/question/1884491
