Help, write an expression in the simplest form that represents the area (in square feet) of the banner.
2 answers:
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Answer:
B) Angle 5 and angle 4
Step-by-step explanation:
Given
See attachment for sketch
See comment for options
Required
The alternate interior angles
Interior angles are such that they are located between the given parallel lines.
In the attached sketch, the interior angles are: 3, 4, 5 and 6
Alternate angles are at the opposite sides of the transversal
Hence:
<em>4 and 5 are alternate interior</em>
<em>3 and 5 are also alternate interior</em>
The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.
<h3>What are exponential forms?</h3>The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.
<u>For example:</u>
If we have a*a*a*a, it can be written in exponential form as:
=a^4
where
- a is the base, and
- 4 is the power.
The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.
From the information given:
We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:
Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.
Learn more about exponential forms here:
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Answer:
<u>44 fluid ounces</u> of lemonade are left.
Step-by-step explanation:
Given:
Tate fills a container with 9 1/2 cups of lemonade.
Tate drinks 32 fl. oz. of lemonade.
Now, to find the quantity of fluid ounces left.
So, we convert the unit of cups into fluid ounces.
Tate fill the container of lemonade with =
As, 1 cup = 8 fluid ounces.
So, by conversion factor:
<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>
<em>Tate drinks lemonade = 32 fl. oz.</em>
Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:
Therefore, 44 fluid ounces of lemonade are left.