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AleksAgata [21]
3 years ago
8

rectangle A measured by 3 inches. Rectangle B is a scaled copy of rectangle A. Select all of the measures pairs that could be th

e dimensions of rectangle B. A. 4.5 inches by 1.5 B. 8 inches by 2 inches D. 13.5 inches by 4.5 inches E. 90 inches by 30 inches
Mathematics
2 answers:
ankoles [38]3 years ago
6 0

Answer:

he is correct it is E. I had the same thing and he helped me a lot seeing this. He is correct

bulgar [2K]3 years ago
4 0
In the given rectangle, rectangle A, the length is 9 inches, and the width is 3 inches.
The length is 3 times the width.

Any rectangle in which the length is 3 times the width is similar to rectangle A.
Take each option and multiply the width by 3. If that is the length they tell you, then that rectangle is similar to rectangle A.

Option A.
1.5 in. * 3 = 4.5 in.
You are given length = 4.5 in.
It is similar.

Option B.
Width = 2 in.
2 in. * 3 = 6 in.
Given length is 8 in.
Not similar.

Option D.
Width = 4.5 in.
3 * 4.5 in. = 13.5 in.
Given length = 13.5 in.
Similar

Option E.
Width = 30 in.
3 * 30 in. = 90 in.
Given length = 90 in.
Similar.
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Which is equivalent to V180x11 after it has been simplified completely?
inna [77]

Question:

Which is equivalent to \sqrt{180x^{11}} after it has been simplified completely?

Answer:

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

Step-by-step explanation:

Given

\sqrt{180x^{11}}

Required

Simplify

We start by splitting the square root

\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}

Replace 180 with 36 * 5

\sqrt{180x^{11}} = \sqrt{36 * 5} *  \sqrt{x^{11}}

Further split the square roots

\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} *  \sqrt{x^{11}}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{11}}

Replace power of x; 11 with 10 + 1

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10 + 1}}

From laws of indices; a^{m+n} = a^m * a^n

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x^1}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x}

Further split the square roots

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10}} * \sqrt{x}

From laws of indices; \sqrt{a} = a^{\frac{1}{2}}

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{10*\frac{1}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{\frac{10}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{5} * \sqrt{x}

Rearrange Expression

\sqrt{180x^{11}} = 6 *  x^{5} * \sqrt{5} * \sqrt{x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}

From laws of indices; \sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}

So, we have

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

<em>The expression can no longer be simplified</em>

Hence, \sqrt{180x^{11}} is equivalent to 6x^{5}\sqrt{5x}

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irinina [24]

Answer:

5.5 miles per hour

Step-by-step explanation:

Since he travels a total of 55 miles in 10 hours, you need to divide.

55/10 = 5.5

total hours/total miles = miles per hour

3 0
3 years ago
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