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3 years ago

Please help me with these!

Mathematics

1 answer:

Dvinal [7]3 years ago

6 0

Answer:

Step-by-step explanation:

A1. C = 104°, b = 16, c = 25

Law of Sines: B = arcsin[b·sinC/c} ≅ 38.4°

A = 180-C-B = 37.6°

Law of Sines: a = c·sinA/sinC ≅ 15.7

A2. B = 56°, b = 17, c = 14

Law of Sines: C = arcsin[c·sinB/b] ≅43.1°

A = 180-B-C = 80.9°

Law of Sines: a = b·sinA/sinB ≅ 20.2

B1. B = 116°, a = 11, c = 15

Law of Cosines: b = √(a² + c² - 2ac·cosB) = 22.2

A = arccos{(b²+c²-a²)/(2bc) ≅26.5°

C = 180-A-B = 37.5°

B2. a=18, b=29, c=30

Law of Cosines: A = arccos{(b²+c²-a²)/(2bc) ≅ 35.5°

Law of Cosines: B = arccos[(a²+c²-b²)/(2ac) = 69.2°

C = 180-A-B = 75.3°

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3 years ago

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Nataly [62]

Answer:

Option B: 0.4

Step-by-step explanation:

We have 20 dots.

Such that each column represents the repetitions for each proportion.

So:

0.1 -> 3 times

0.2 -> 1 time

0.3 -> 4 times

0.4 -> 6 times

0.5 -> 3 times

0.6 -> 3 times

Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.

Remember that for a set of N values:

{x₁, x₂, ..., xₙ}

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$M = \frac{x_1 + x_2 + ... + x_n}{N}$

In this case we have the set of 20 points described above, then the mean is:

$M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37$

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3 years ago

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Likurg_2 [28]

Step-by-step explanation:

no I won't thanks though

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3 years ago

A spinner divided into four equal parts, A, B, C, and D, is spun, then is followed by a roll of a standard six-sided die.

gavmur [86]

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Step-by-step explanation:

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*******************************************************************************

Answer: 3

Step-by-step explanation:

Total outcomes for an A and and odd number

= A and (1 or 3 or 5)

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= 3

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Answer: $\bold{\dfrac{1}{4,}\qquad \dfrac{1}{2,}\qquad \dfrac{1}{8}}$

Step-by-step explanation:

Probability of an A out of A, B, C, D is: $\dfrac{1}{4}$

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: $\dfrac{3}{6}=\dfrac{1}{2}$

Probability of an A and an odd is: $\dfrac{1}{4}\times\dfrac{1}{2}=\dfrac{1}{8}$

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Answer: $\bold{\dfrac{1}{2}}$

Step-by-step explanation:

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: $\dfrac{3}{6}=\dfrac{1}{2}$

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Answer: $\bold{\dfrac{3}{4}}$

Step-by-step explanation:

Probability of an A or an odd is: $\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}$

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3 years ago