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yarga [219]
3 years ago
14

Find the surface area

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

Answer:

352 m

Step-by-step explanation:

The area of a trapeze is (the biggest base + the smallest base) × height / 2

The area from rectangles are side a × side b

Trapeze: (6+12)×4/2 = 36

Rectangles: 5 × 10 = 50

6 × 10 = 60

12 × 10 = 120

There are two trapeze andtwo rectangles with the samesize, so you double their area:

2×36 + 2 × 50 + 60 + 120 = 352 m

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Lauren is a college sophomore majoring in business. This semester Lauren is taking courses in accounting, economics, management
Alexxandr [17]

Answer:

a) We can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

Step-by-step explanation:

For this case we have the following data:

350, 70, 65, 50, 60

Part a

We can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

Part b

For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

8 0
2 years ago
Interior and Exterior Triangle Angles (0/5)
sweet-ann [11.9K]

Answer:

<h3>      ∠R = 69</h3>

Step-by-step explanation:

<h2>Angle sum property</h2>

Sum of all angles of triangle = 180

     5x - 11 + 3x - 3 + 3x + 18 = 180

      5x + 3x + 3x  -11 - 3 + 18 = 180

Combine like terms

                             11x  + 4 = 180

                                   11x = 180 - 4

                                   11x = 176

                                      x = 176/11

                                       x = 16

∠R = 5x - 11

   = 5*16 - 11

   = 80 - 11

    = 69

8 0
2 years ago
Is the relationship shown by the data linear? If so, model the data with an equation.
zhenek [66]

Answer:

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is

Linear Relationship i.e y-5=2(x+7)

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -7, 5 )  

point B( x₂ , y₂) ≡ (-5, 9)  

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(5))=(\frac{9-(5)}{-5--7})\times (x--7)\\ \\(y-5)=\frac{4}{2}(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is

Linear Relationship i.e y-5=2(x+7)

4 0
2 years ago
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4
enyata [817]

Answer:

2(7x-3)=9

14x-6=9

14x=9+6

14x=15

x=15/14

5 0
2 years ago
Read 2 more answers
How many 3 digit multiples of both 4 and 6 are there?
Daniel [21]

Answer: There 225 3-digit numbers multiple of 4

5 0
3 years ago
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