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Eduardwww [97]
3 years ago
14

The length of a rectangle is 3 times its width. The rectangle’s width is 4 m. What is the area of the rectangle? Enter your answ

er in the box. m²
Mathematics
2 answers:
Art [367]3 years ago
7 0

Answer:

48m²

Step-by-step explanation:

L= 3*4

W= 4

Area= L*W

A=(3*4)*4

A=12*4

A=48

bekas [8.4K]3 years ago
5 0
Call the length l and the width w 

We are told:
1. "<span>The length of a rectangle is 3 times its width." i.e.: l=3w
2. "</span><span>The rectangle’s width is 4 m." i.e.: w=4

So, by substitution we have:
l=3w
l=3(4)
l=12m

Then we can use our area formula:
A=lw
A=(12m)(4m)
Area=48m^{2}</span>
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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

A"B" = \frac{AB}{2}

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

A"B" = AB * \frac{1}{2}

A"B" = \frac{AB}{2}

The equation that explains the relationship between segment AB and segment A"B" is

A"B" = \frac{AB}{2}

Option A is correct

5 0
3 years ago
What is the domain of the square root function graphed below?
Irina18 [472]

Answer:

D

Step-by-step explanation:

1. The domain is all x values for the function.

2. Since the line starts at the x value of 3, it is included and since it goes to the right, it also includes all the values greater than 3.

3. Therefore, x>_3

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3 years ago
Simplify the expression and show work 4(3x-2)-7(x+5)
Gennadij [26K]

Answer:

5x - 43

Explanation:

Given the below expression;

4\left(3x-2\right)-7\left(x+5\right)

To simplify the above, we'll go ahead and use the numbers outside the parentheses to multiply the ones inside to clear the parentheses as seen below;

\begin{gathered} 12x-8-7x-35 \\ =12x-7x-8-35 \\ =5x-43 \end{gathered}

So the answer is 5x - 43

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1 year ago
Hospital records show that a certain surgical procedure takes on an average 111.6 minutes with a standard deviation of 2.8 minut
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Answer:

At least 37.74% of the procedures takes between 97.6 and 125.6 minutes

Step-by-step explanation:

The percentage is the area of the standard normal distribution curve between the values 97.6 and 125.6

The standard normal variate of the given data is found as

Z=\frac{X-\overline{X}}{\sigma }

Thus for the given values Z is calculated as under

Z_1=\frac{97.6-111.6}{2.8}=-5

Similarly for the other value we have

Z_2=\frac{125.6-111.6}{2.8}=5

Thus the area between the calculated values can be found from standard normal distribution table to be 37.74%

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Answer:

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