A rectangle is 1/3 yards long and 2/3 yards wide What is the area of the rectangle? Enter your answer
1 answer:
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Answer:
x = 5 ±
Step-by-step explanation:
Given
x² - 10x + 25 = 35 ( subtract 25 from both sides )
x² - 10x = 10
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = 10 + 25
(x - 5)² = 35 ( take the square root of both sides )
x - 5 = ± ( add 5 to both sides )
x = 5 ±
That is the second option on list
Answer:
6
Step-by-step explanation:
This problem centers on recognizing the relationship between fractions and repeating decimals.
<u></u>
Note the following:
or more simply
This means that
Going back to the original expression, simplifies to
Next, adding mixed numbers. For adding mixed numbers, whole number parts and fractional parts can be added separately <em>(this is because of the associative and commutative properties of addition)... because </em>
means the same thing as
Changing the order, we can write it as
Adding the whole number parts, 3+2 is 5.
Next, adding the fraction parts:
For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same). Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.
Fortunately, the denominators are already the same. So, add the numerators, and the denominator will stay as a 3.
It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.
<em>*(except if the number we're talking about is zero)</em>
So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5. Returning to our expression...
Answer:
25.12 kilometers
Step-by-step explanation:
C = 2 × 3.14 × 4
C = 25.12