Based on the assumption that the angle of the triangle at the cave entrance is a right angle, the angle Devora turned before walking to the treasure chest is approximately 57 degrees.

Step-by-step explanation:

A sketch of the triangle formed is attached where E is the entrance of the cave, C is the treasure chest and T is the treasure itself.

Using the cosine trigonometric ratio, we have that

$\cos \theta = \frac{484848}{898989} = 0.5393$

Finding the arccosine of 0.5393 gives $57.36^0$

6 0

3 years ago

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Use the properties of limits to find the limit.<br> Picture provided below

zhannawk [14.2K]

$\dfrac{4x}{x-5}=\dfrac4{1-\frac5x}$ , and as $x\to\infty$ , the $\dfrac5x$ term vanishes.

$\dfrac{4x}{x^2+5}=\dfrac{\frac4x}{1+\frac5{x^2}}$ , and as $x\to\infty$ , both $\dfrac4x$ and $\dfrac5{x^2}$ vanish.

$\displaystyle\lim_{x\to\infty}\left(\frac{4x}{x-5}+\frac{4x}{x^2+5}\right)=\lim_{x\to\infty}(4+0)=4$

and the answer is C.

7 0

3 years ago

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If two samples are selected from the same population, under what circumstances will the two samples have exactly the same t stat

WARRIOR [948]

If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean

The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error.

Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Hence, If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean

Learn more about t-statistic here

brainly.com/question/15236063

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4 0

2 years ago

Which statement best describes the product of 4/5 x 10?

Licemer1 [7]

Answer:

Step-by-step explanation:

4/5 x 10/1= 40/5

40 divided by 5 equals 8

The answer is 8

6 0

3 years ago