Length (L): L
width (w): (2/3)L
Perimeter (P) = 2L + 2w
290 = 2(L) + 2(2/3)(L)
870 = 6L + 4L
870 = 10L
87 = L
width (w): (2/3)L = (2/3)(87) = 2(29) = 58
Answer: width = 58 ft, length = 87 ft
The coordinate set (0, 0), (2, 1), (4, 2), (6, 3) represents a straight line. Since the first point is (0, 0) the y-intercept is 0. Now, lets solve for the slope (we can use any of the four points to solve).
Slope formula: y2-y1/x2-x1
= 2-1/4-1
= 1/2
Now that we know what the slope is, we can write the equation of the line.
Slope intercept form: y = mx + b (m = slope and b = y-intercept)
y = 1/2x
Lets find the exponential equation for the line.
y = ab²
1 = ab²
1/a = ab²/a
1/a = b²
√1/a = √b²
√1/a = b
<em>A graph of the coordinates will be below.</em>
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Best of Luck!
Even though im not giving you the whole answer, let me give you something that will definitely help you:
a regular hexagon is made of 6 identical triangles with the apothem as the height of the triangle A = 6 * 1/2 base * apothem which can be simplified to A = 1/2 perimeter * apothem
This in itself is a big part of what you need. I hope this is enough info for you to keep going
Sorry no but you can search up the question on google and maybe try that
7. Obtuse
8. Acute
9. No, because it’s the hypotenuse
10. Yes, because that part is not the hypotenuse and it is less than the greatest angle