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aev [14]
2 years ago
12

The square abcd has side length 10cm. E is the midpoint of BC. Work out the length of DE. Answer to 1 decimal place.

Mathematics
2 answers:
Levart [38]2 years ago
4 0

-- DEC is a right triangle.

-- DC is one side of the square  =  10 cm
-- EC is half the side of the square = 5 cm
-- DE is the hypotenuse = square root of (5² + 10²)  =  √(125 cm²) .

<em>-- Truncated</em> to one decimal place, that's  11.1 cm. 

<em>-- Rounded</em> to one decimal place, it's 11.2 cm.


borishaifa [10]2 years ago
4 0
Think of it as a triangle. E is the midpoint of BC, so EC is 5cm. Then CD is 10cm. Pythagoras it, so 5^2 + 10^2 = DE^2. Rt(125) = 11.2 to 1 decimal place. That's the answer
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Answer:

Range = 58

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Mode = 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile = 11

Lower Quartile = 48

Step-by-step explanation:

Start by putting all of the values in order from least to greatest.

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Range

The range is the difference between the highest and lowest value. So in this case, it's 58, because 60 - 2 = 58

Mean

The mean is another word for the average. To calculate the average, add all of the values and divide the sum by the number of values.

2 + 9 + 11 + 12 + 16 + 17 + 18 + 41 + 48 + 50 + 60 = 284

There are 11 values, so divide the sum (284) by 11:

284 / 11 = 25.8181818.

That rounds to 25.81

Median

The median is the middle value of the data set.

In 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60 the middle value is 17. It has 5 values on each side of it.

Mode

The mode is the number that appears the most in the data set. Each value only appears once, so the mode is the entire list of numbers. 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile

The upper quartile of a data set is the median of the numbers that are to the left of the median for the entire data set. The median is 17, so the numbers to the left are 2, 9, 11, 12, and 16. The median of those is 11 because it is in the middle. So the upper quartile is 11.

Lower Quartile

The lower quartile is found the same way the upper quartile is, but it's the median of the numbers to the <em>right</em>. The numbers to the right of 17 are

18, 41, 48, 50, and 60. The median of those is 48 because it's in the middle. So the lower quartile is 48.

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