Lightening Energy Drink has 15.2 calories per fluid ounce. If Marlene consumes 253.84 calories of Lightening Energy Drinks, then
1 answer:
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To find the ratio of the areas, we are obviously going to first need to find the areas of the inner and outer squares. The outer square has a side length of because we are
units away from 0 on the x-axis. Thus, the area of the outer square is
.
We can see that a right triangle is formed by part of the x-axis, part of the y-axis, and the side of the inner square. Thus, we can find the length of the inner square through the Pythagorean Theorem, which is , where
and
are the legs of the right triangle and
is the hypotenuse. The lengths of the legs of the right triangle in the picture are
and
. We can use the Pythagorean Theorem to find the other side length.
We have now found that the side length of the inner square is . Thus, the area of the inner square is
.
Using the two areas we just found, we can say that the ratio of the area of the inner square to the area of the outer square is , or choice A.
Answer:
The correct answer is
Step-by-step explanation:
Method 1
We want to simplify,
The double negatives becomes positive,
We now add the whole number parts and the fractions separately
This will give us,
The least common denominator for the fractional parts is 9.
Method 2
We want to simplify,
The double negatives becomes positive,
We first convert the mixed numbers to improper fractions to obtain,
We carry out the multiplication in the numerator to get,
We add in the numerator to get,
The least common denominator is .
We convert back to mixed numbers to get,