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3 years ago

Look at triangle ABC. What is the Length of the side AB of the triangle? A. 2 B. Squ. Root 20 C. 6 Squ. Root 38

Mathematics

1 answer:

Over [174]3 years ago

5 0

Answer:

<h2>√20 units</h2>

Option B is the right option 

solution,

A(4,5)------->(X1,x2)

B(2,1)-------->(y1,y2)

Now,

$ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {(2 - 4)}^{2} + {(1 - 5)}^{2} } \\ \: \: = \sqrt{ {( - 2)}^{2} + {( - 4)}^{2} } \\ \: \: = \sqrt{4 + 16} \\ \: \: \ = \sqrt{20}$

hope this helps....

Good luck on your assignment..

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What is the measure of an interior angle of a regular 12-gon?

gavmur [86]

Answer:

The measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.

Step-by-step explanation:

We need to determine the measure of an interior angle of a regular 12-gon.

We know that the number of sides in a regular 12-gon = n = 12

Thus,

Using the formula to determine the measure of an interior angle of a regular 12-gon is given by

(n - 2) × 180° = n × interior angle

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Therefore, the measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.

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3 years ago

A car is purchased for $24,000 . After each year, the resale value decreases by 20% . What will the resale value be after 5 year

aliya0001 [1]

Answer:0

The can will have no value after 5 years

Step-by-step explanation:

If it lost 20% value in the first year after 5 year is amount to 100% devalued making it worth nothing at the fifth year.

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After the first year the value will be

Therefore in five year the value will be

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According to sleep researchers, if you are between the ages of 12 and 18 years old, you need 9 hours of sleep to be fully functi

Alexxx [7]

Answer:

d) H0:μ=9 and Ha:μ<9

$t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77$

$p_v =P(t_{(27)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is significantly lower than 9 hours at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=7.9$ represent the sample mean

$s=2.1$ represent the sample standard deviation

$n=28$ sample size

$\mu_o =9$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the students at this high school are getting too little sleep, the system of hypothesis would be:

Null hypothesis: $\mu \geq 68$

Alternative hypothesis: $\mu < 68$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best option for this case would be:

d) H0:μ=9 and Ha:μ<9

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=28-1=27$

Since is a one sided test the p value would be:

$p_v =P(t_{(27)}$

Conclusion

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