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Brums [2.3K]
2 years ago
8

Which of the following expressions is equal to 5^6/5^2

Mathematics
1 answer:
Natali5045456 [20]2 years ago
5 0

Answer:

\dfrac{5^6}{5^2} = 5{\cdot}5{\cdot}5{\cdot}5

Step-by-step explanation:

The given expression is :

\dfrac{5^6}{5^2}

We need to find this expression is equal to what.

\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5

Hence, \dfrac{5^6}{5^2} is equal to 5{\cdot}5{\cdot}5{\cdot}5. Hence, the correct option is (c).

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ABCD is a trapezoid with AD = 5 ft, DC = 7 ft, and AB = 15 ft. Find the area of the trapezoid. 30 ft2 33 ft2 44 ft2 55 ft2
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Answer: 33 ft².


Step-by-step explanation:

1. As you can see in the figure attached, the trapezoid is formed by a rectangle and two equal right triangles. The base of each triangle is 4 feet and you know the lenght of the hypotenuse AD, therefore, you can calculate the height by applying the Pythagorean Theorem:

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2. Now, you can calculate the area with the following formula:

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Where <em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.

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