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3 years ago

What is the area of the figure below? A. 31.5 m B. 63 m C. 84 m D. 126 m

Mathematics

2 answers:

lapo4ka [179]3 years ago

6 0

Hi! For the area of a parallelogram, we just need to multiply the base and the height. It may sound simple but the tricky part in this problem is determining which one is the height.

For a parallelogram, the height is defined as the measurement PERPENDICULAR to the base. Therefore, for this problem, we need to multiply 14 and 4.5 instead of 14 and 6.

$14*4.5=63$

ANSWER: B. 63 square meters.

Nastasia [14]3 years ago

6 0

1: 36 in^2
2: 63 m^2
3: 26 in^2
4: 96 m^2

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The approximation of which irrational number is shown by point R on the number line?

Alenkasestr [34]

Answer:

B it is very simple my friend

Step-by-step explanation:

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3 years ago

[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

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3 years ago

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The answer is C. to show that animals can even surprise experts with their capacity to learn

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3 years ago

A train travels 16 miles in 20 minutes At this rate , how many minutes will it take to trace 12 miles?

VARVARA [1.3K]

Answer:

Write and solve an equation of ratios:

16 miles 20 min

----------- = -----------

12 miles x

Then 16x = 240, and x = 240/16 = 15.

It will take 15 minutes to travel 12 miles.

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3 years ago

The low temperatures last week, in degrees Fahrenheit, were 30, 35, 40, 41, 42, 45, and 47.

puteri [66]

<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.

How to Calculate the Average

The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.

Finding the Average

Now, let's find the average of this specific data set. First, add all of the data together.

30+35+40+41+42+45+47 = 280

Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.

280/7 = 40

This means that the average of the set is 40.

Other Measurements of Center

The mean is not the only measurement of center. There are 3 common measures of center.

The mean is found by adding all the terms and then dividing by the number of terms.
Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.
Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.

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2 years ago