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dlinn [17]
2 years ago
14

Use the Law of Sines to solve for x. Round to the nearest whole number.

Mathematics
1 answer:
bagirrra123 [75]2 years ago
6 0

Answer:

12.94

Step-by-step explanation:

By the law of sines:

x / sin(35) = 7.9 / sin70

x = 7.9 * sin(70)/sin(35)

= 7.9 * 0.9397 / 0.5736

= 12.94

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Scorpion4ik [409]
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2. 0
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5. x = -6
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7 0
3 years ago
Solve (x + 5)2 = 48.
natita [175]

Answer:

x = -5  ±4sqrt(3)

Step-by-step explanation:

(x + 5)^2 = 48

Take the square root of each side

sqrt((x + 5)^2) = ±sqrt(48)

x+5 = ±sqrt(16*3)

x+5 = ±4sqrt(3)

Subtract 5 from each side

x = -5  ±4sqrt(3)

7 0
3 years ago
5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of
solong [7]

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.8}{\sqrt{36}} = 0.26

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

4 0
3 years ago
Can someone please help me i need it
taurus [48]

Answer:

49

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
4. You and a friend go to the movies and split the cost of the movie tickets and snacks. You pay the bill. You tell your friend
tigry1 [53]
The answer is B/2-4=9; b =$26
3 0
3 years ago
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