Find the vertex of f(x) = -x² + 2x + 7
2 answers:
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Answer:
I hope this will help you
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where
= side length
a = 4, so:
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
Answer:
x = 23.78
Step-by-step explanation:
From the information given, we can construct the triangle shown in the attached picture.
With respect to the angle 18, we have the hypotenuse (25) and we want to know the adjacent side (x). Thus, what trigonometric ratio relates adjacent to hypotenuse? COSINE! Thus we can set-up the ratio shown below and compute x.
