Answer:
The perimeter of the base is 13.1 centimeters
Step-by-step explanation:
we know that
The surface area of a triangular prism is equal to
where
B is the area of the triangular base
P is the perimeter of the triangular base
h is the length of the prism
we have
substitute in the formula
solve for P
The area of a triangle is calculated by half of the base times the height.
S= 1/2a*h (in which a is the base and h is the height).
Hope this helps~
My vector calculator* tells me
100∠130° +25∠90° = 122.2∠122.3°
The plane's ground speed is 122.2 km/h and its course is 122.3° from north.
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* Graphing Calculator + Math app for Android by Mathlab Apps, LLC
To solve this, you need to use the slope formula which is (y2-y1)/(x2-x1).
When you set it up, it should look something like this: (2-(-4))/(2-(-1)) which would simplify to 6/3 which would simplify to 2. This only finds your slope, however. Now that you know your slope, you can start by first setting up you equation in slope intercept form which should be in this format: y=mx+b
Since you already know the slope (m) and the x and y values (you can use either coordinate, I'm just using (2,2)) your equation would look something like this: 2=2(2)+b. After this, you solve for b which happens to be -2, making your slope intercept equation: y=2x-2.
Now you can convert to standard form. In standard form, you have to have the equation in this format: ax+by=c where there cannot be decimals, fractions, and everything needs to already have the greatest common factor taken out. When you do this, you first need to subtract over 2x which makes the equation look like this: -2x+y=-2. However, ax cannot be negative, so you multiply your entire equation by -1. You then get your answer: 2x-y=2
