The area of any regular polygon is equal to one half the product of the apothem and the perimeter of the polygon. A regular polygon is any polygon that has equal length of its sides. A pentagon has 5 sides so if it is a regular pentagon then the perimeter is 5 times the length of one side. The apothem of a polygon is the length of a line from the center of the polygon to the middle of one of its side. We calculate the area as follows:
Area = apothem (perimeter) / 2
Area = 7 ft (5 (10 ft)) / 2
Area = 175 ft^2
<span>{y | y < 3/4}!!!!!!!!!!!!!!!
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Answer:
x = 1.566
Step-by-step explanation:
7^2=12^x
- 7^2 means 7 squared, which is 7*7, which is 49.
49 = 12^x
- Now we have to use logarithms to figure this out! Logarithms are like the opposite of exponents.
Exponential: b^x = y
Logarithmic: logb(y) = x.
- Now with 49 = y, 12 = b, we plug in to get x:
logb(y) = x
log12(49) = x
Plug this in your calculator (on a TI-84, it's MATH -> A)
<u>x = 1.566</u>
I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
