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atroni [7]
3 years ago
10

HELP ME ASAP.. MY TEACHER IS ASKING FOR THE ANSWER ​

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

a) 10.7 cm

b) 11.6 cm

c) 29.9 cm²

Step-by-step explanation:

a) sin(α)/a = sin(β)/b

sin(∠BCD)/BD = sin(DBC)/DC

sin(41°)/BD = sin(55°)/13.4

BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm

b) From ΔBCD , ∠BDC = 180-(41+55) = 84°

∠ABD and ∠BDC are alternate interior angles, so they are congruent, and

∠ABD = ∠BDC  = 84°

AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =

= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²

AD =√(133.93) ≈11.6 cm

c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²

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Step-by-step explanation:

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velikii [3]

Each goat gets 3 carrots.

After giving 3 carrots to each of the goat, 4 carrots are left with Ty in total.

Step-by-step explanation:

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Now, dividing 19 by 5, we get:

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3 years ago
There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
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Answer:

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So the correct answer would be:

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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The population proportion have the following distribution

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The estimated population proportion for this case is:

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The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

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And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

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