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asambeis [7]
3 years ago
13

Find the approximate side length of a square game board with an area of 105in2.

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

Approximately 10.2 inches

Step-by-step explanation:

The area of a square is given by the formula:

A=s^2

Where A is the area and s is the side length.

Since we already know that the area A is 105, substitute:

105=s^2

Now, take the square root of both sides:

s=\sqrt{105}

Use a calculator:

s\approx10.2470

So, the side length is approximately 10.2 inches.

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const2013 [10]

Answer:

1. c  2. a  3. e  4. d (this one i am not 100% sure on) 5. b  6. i believe is d

Step-by-step explanation:

4 0
3 years ago
The following patterns are made using small squares
Alex787 [66]

Answer:

stuck on that too

Step-by-step explanation:

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3 years ago
(12x + y + z = 26
mel-nik [20]

Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

The linear system A is represented as

\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}26\\17\\23\end{array}\right].

Step 3:

The linear system B is represented as

\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}23\\17\\26\end{array}\right].

Step 4:

The linear system C is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}4\\11\\12\end{array}\right].

Step 5:

The linear system D is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}12\\11\\4\end{array}\right].

Step 6:

Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.

4 0
3 years ago
The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of .7 mi
Charra [1.4K]

The <em><u>correct answer</u></em> is:

0.0764

Explanation:

We will use a z-score to answer this.  The formula for a z-score is

z=\frac{X-\mu}{\sigma}, where μ is the mean and σ is the standard deviation.  Using our information in this problem, we have

z=\frac{6-5}{0.7}=\frac{1}{0.7}=1.43

Using a z-table, we look up the z-score 1.43.  The area under the curve to the left of, or less than, this value is 0.9236.  This means the probability that the time is greater than this is 1-0.9236 = 0.0764.

7 0
3 years ago
Read 2 more answers
What is the equation of a line which includes points (-5, 5) and (2, 5)?
sveta [45]
<h2>Hello!</h2>

The answer is:

The equation of the line which includes the points (-5,5) and (2,5) is:

y=5

<h2>Why?</h2>

To find the line which includes the points (-5,5) and (2,5) we can use the following equation:

y-y_1=\frac{y_2-y_1}{x_2-x_1}*(x-x_1)

So, using the points (-5,5) and (2,5), we have:

y-5=\frac{5-5}{2-(-5)}*(x-(-5))

y-5=\frac{0}{2+5}*(x-(-5))

y-5=0*(x+5)

y-5=0

y=5

We have that the equation of the line which includes the points (-5,5) and (2,5) is:

y=5

Have a nice day!

Note: I have attached a picture for better understanding.

8 0
3 years ago
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