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:
m<2 is 17 degrees
Step-by-step explanation:
We can see that the angle at the vertex E was bisected to give two different but equal angles
Thus, we have it that;
2x + 7 = 4x-3
4x-2x = 7+ 3
2x = 10
x = 10/2
x = 5
so m<2 = 4(5) -3 = 20-3 = 17 degrees
3.606 is the answer
H^2 = P^2 + B^2
H^2 = 3^2 + 2^2
H^2 = 9+4
H^2 = 13
H = root 13
H = 3.606 (simple radical Form)
Answer:
47/60
Step-by-step explanation:
Find the LCM and multiply to get there.
LCM is 60
63/60-16/60
47/60
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