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4 years ago

What is the area of the rectangle below ?

Mathematics

2 answers:

Dmitrij [34]4 years ago

5 0

A. 136 sq. units is the answer. This answer was achieved by simply plugging the numbers into the area formula for rectangles. 8 x 17 = 136

balandron [24]4 years ago

5 0

Answer: A. 136 sq. units

Step-to-step explanation:-

In the given picture, we have a rectangle.

The length of the rectangle = 17 units

The width of rectangle = 8 units

We know that the area of rectangle is given by :-

$\text{Area}=length\times width\\\\\Rightarrow\text{Area}=17\times8\\\\\Rightarrow\text{Area}=136\text{ sq. units}$

Hence, the area of the rectangle = 136 sq. units

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Which expression is equivalent to 6–3?

Bond [772]

Your question is not well presented. See complete question below

Which expression is equivalent to $6^{-3}$ ?

A) –63

B) 36

C) $\sqrt[3]{6}$

D) $(\frac{1}{6} )^3$

Answer:

The equivalent of $6^{-3$ is $(\frac{1}{6} )^3$

Step-by-step explanation:

Given

Expression: $6^{-3}$

Required:

Find the Equivalent Expression

To find the equivalent of this expression, we make use of law of indices.

One of the laws of indices states that

$a^-b = \frac{1}{a^b}$

If we apply this law to the expression above ( $6^{-3}$ )

By comparison a = 6 and b = 3.

So, $6^{-3}$ becomes

$6^{-3}$ = $\frac{1}{6^3}$

Simplifying further;

$\frac{1}{6^3}$ = $\frac{1}{6 * 6 * 6}$

This can also be written as

$\frac{1}{6^3}$ = $\frac{1*1*1}{6 * 6 * 6}$

By splitting the above expression; we have that

$\frac{1}{6^3}$ = $\frac{1}{6} * \frac{1}{6} * \frac{1}{6}$

Multiplication law of indices states that;

a * a * a = a³. (Because they have the same base of a)

So, $\frac{1}{6} * \frac{1}{6} * \frac{1}{6}$ can then be written as $(\frac{1}{6} )^3$

Hence, $\frac{1}{6^3}$ = $(\frac{1}{6} )^3$

So, the equivalent of $6^{-3}$ is $(\frac{1}{6} )^3$

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3 years ago

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nignag [31]

Answer:

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Answer:

Step-by-step explanation:

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I hope this helps!

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nignag [31]

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Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 89 people

katovenus [111]

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