Answer: <u>Archimedes</u>
Step-by-step explanation:
Answer:
Step-by-step explanation:
In the first pattern, there were 6 sticks
In the second pattern, there were 10 sticks.
In the third pattern, there were 14 sticks.
Based on the pattern, we see that each time, 4 more sticks are added and that the initial amount of stick is 6.
Thus: the equation for how many sticks there would be in pattern n is:
# of sticks in pattern n = 6 + 4n
Hope that helps!
Answer:
forty-eight point fifteen
Answer: The plane is 6,547 feet from the closer edge of the runway.
This is a trigonometry problem that will involve setting up 2 different triangles. One going to the closer edge of the runway and the other going to the far end of the runway.
The constant between the 2 triangles is the height of the plane. You can solve for this is both triangles and set them equal to each other.
Do that will give you the equation:
x/tan(70) = (x+3000)/tan(76) where x is the distance to the closer end of the runway.
If you solve that equation, you will get x = 6547 feet.
<h2>
Answer:</h2>
First, we need to use <u><em>slope formula*</em></u> to find the slope.
Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.
Here is what we have so far:
I'm going to use this point:
Here is how to find <em>b</em>:
Finally, we put all of it together and we have our equation.
*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>
**Slope-intercept form: <em>y = mx + b</em>
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