Answer:
x = 144
Step-by-step explanation:
Sum of all angles of n-sided polygon = 180 * (n - 2)
Sum of all angles of 8-sided polygon = 180 * 6 = 1080
x + 129 + 132 + 136 + 124 + 141 + 158 + 116 = 1080
x + 936 = 1080
x = 1080 - 936
x = 144
Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
Y is less than or equal to -16 i think but I’m not sure
Using the given information, the height of the tree is 48 ft
<h3>Trigonometry </h3>
From the question, we are to determine the height of the tree
In the given diagram, the height of the tree is (x + 5) feet
First, we will determine the value of x
tan 47° = x / 40
x = 40 × tan47°
x = 42.89 ft
∴ The height of the tree = (42.89 + 5) ft
Height of the tree = 47.89 ft
Height of the tree ≈ 48 ft
Hence, the height of the tree is 48 ft.
Learn more on Trigonometry here: brainly.com/question/15821537
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523.6 m3 i hope this helps mark me as brainliest
