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1 answer:
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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:
D
Step-by-step explanation:
So we have the equation:
And we want to find out which of the answer choices is <em>not</em> equivalent.
Thus, let's go through each of the choices.
A)
We have:
This is correct.
Our original equation can be written as:
And if we multiply straight across:
We'll get choice A. So choice A is correct.
B)
We have:
This is also correct.
From our original equation:
If we multiply the first term together:
We'll get choice B. So, choice B is correct.
C)
We have:
This is correct as well.
If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:
So, C is also correct.
D)
We have:
Note that this is not correct.
This attempted to use the distributive property. However, the distribute property does <em>not work</em> for multiplication. For instance:
However:
So, choice D is not equivalent.
So choice D is our answer :)
If we evaluate it, we will get 30, in contrast to the 60 of the others.