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Dafna11 [192]
2 years ago
14

Ab=6cm Ac=12cm Calculate the length of CD

Mathematics
1 answer:
KatRina [158]2 years ago
3 0

Answer:

12.7 cm

Step-by-step explanation:

ABC

12² = 6² + BC²

12² - 6² = BC²

144 - 36 = 108

CB² = 108

√108 = 10.392

CB = 10.392

CBD

Sin (55°) = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686

CD = 12.7cm

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Answer:

Mean = 8

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Step-by-step explanation:

To find out Mean the formula is : total sum of data set / number of values

(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8

Mean = 8

Now for variance we will form a table

x                  11     11     3      1      11      11

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(x - Mean)²   9     9    25    49    9      9

Now we the formula of variance =

Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22

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Now we know Standard deviation = √(variance)

Therefore standard deviation = √22 = 4.6904

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