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topjm [15]
4 years ago
10

In rectangle ABCD, BC=30 and AB=40. If diagonal AC and BD intersect at E, find the measure of BE.

Mathematics
1 answer:
mash [69]4 years ago
4 0
So if you draw it, the diagonal makes a right triangle. To find the diagonal, use the pathagorean theorem. a^2+b^2=c^2 so 900 + 1600 =c^2 So solve that: 2500=c^2 so the length of c, the diagonal is 50. BE is half of BD, so you divide 50 by two.

The answer is BE = 25
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-2 4/7 is your answer
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24. Seven tenths of a number plus 14 is less than forty-nine.<br>​
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Answer:

50. ☺️☺️

Step-by-step explanation:

I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

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The answer is n < 50

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A farmer wants to know which of two fertilizers will yield the most produce. He sets up twenty random plots of equal size on one
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<h2>Answer:</h2>

A)

Mean for:

Sample Z --  447.5

Sample Y-- 409.3

B)

Sample Y has larger deviation from the mean.

<h2>Step-by-step explanation:</h2>

Z Plots      Y Plots  

 456          395

 454          390

 449          391

 453          402

 431           395

 456          405

 445          432

 430          438

 463          420

 438          425

A)

For sample Z--

The mean is calculated by:

Ratio of sum of all the data points of Z-sample to the total number of points i.e. 10.

Mean=\dfrac{456+454+449+453+431+456+445+430+463+438}{10}\\\\Mean=\dfrac{4475}{10}\\\\Mean=447.5

Similarly for sample Y--

The mean is calculated as follows:

Mean=\dfrac{395+390+391+402+395+405+432+438+420+425}{10}\\\\\\Mean=\dfrac{4093}{10}\\\\Mean=409.3

B)

As we could see that the data Y has a greater spread from the mean as compared to the sample Z.

As all the points in the sample Z are close to the mean and have less spread.

The standard deviation is most commonly used to measure the spread of the data.

Standard deviation of sample Z is: 10.651

Standard deviation of sample Y is: 16.9944

Hence Sample Y have larger deviation from the mean.

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