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 | -3 <= x < +1 }
Step-by-step explanation:
We note that the graph occupies from x=-3 to x=+1, while -3 is a value included (endpoint is solid), and +1 is excluded (endpoint hollow).
Thus the domain is { x | -3 <= x < +1 }
Hey there!! Glad I can help!!!
Answer:
Dilation
Step-by-step explanation:
A Dilation didn't take place. They are of the same size.
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The common denominator for 3/8 and 1/3 is 24.
Reason: to get the common denominator you multiply the denominator of both
8*3= 24
Answer:
The height of a pile of 5 equal sized boxes is 95cm.
Step-by-step explanation:
We know that 1 pile of 4 is 76 cm. All we have to is divide this by 4 to find how tall one box is.
76/4 = 19.
This means that one box is 19 cm tall.
Now we will add 19cm to 76cm.
19 + 76 = 95
The height of a pile of 5 equal sized boxes is 95cm.
<em>~CaityConcerto</em>
