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e-lub [12.9K]
3 years ago
11

What is the area of trapezoid ABCD in square centimeters?

Mathematics
1 answer:
anyanavicka [17]3 years ago
6 0

Answer:

99

Step-by-step explanation:

Area of trapezium = 1/2 × (sum of parallel sides × height)

The parallel sides of the trapezium are the left and right edge.

( 9 + 13) = 22

The height is the vertical distance between the parallel sides and when you turn the shape 90degrees towards the left, we would have the parallel sides been the bottom and top edge and the vertical height between will be 9

Hence the area = 1/2 × 22 × 9

= 11 ×9 = 99

You would add the unit if measure.

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Which expression is equivalent to 6a + 15?
12345 [234]

Answer:3(2a+5)

6a+15 divide both sides by 6

a=2.5

Step-by-step explanation:

5 0
3 years ago
The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:
blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}

  =\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182

Compute the standard deviation as follows:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

      =\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0
3 years ago
Which relation is a function?
Luden [163]

A relation is <em>not</em> a function if it has repeated "x" values.

A. (3, _) repeats

B. is a function

C. (5, _) repeats

D. (-4, _) repeats

8 0
3 years ago
For breakfast, Randy had two Egg McMuffins and a hash brown, to taling 750 calories . Jack only had on e Egg McMuffin and a hash
Delvig [45]
Let us assign variables.
Let x = egg mcmuffins
Let y = hash brown

Randy had:
2x + y = 750

Jack had
x + y = 450

Using systems of linear equation, we can get the value for x and y by elimination. Subtract the equations.
2x + y = 750
x + y = 450
--------------
x = 300

Get y
x + y = 450
300 + y = 450
y = 150.

So there are 300 calories for McMuffins and 150 calories for hash brown.
4 0
3 years ago
Guys Help me <br><br> Does (4, 7) make the equation y = 2x + 7 true?
natka813 [3]

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

3 0
2 years ago
Read 2 more answers
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