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2 years ago

In the figure below, what is the value of angle Z?

Mathematics

2 answers:

Andre45 [30]2 years ago

5 0

Answer: SECOND OPTION.

Step-by-step explanation:

You can use the following identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case:

$\alpha=45\°\\adjacent=2\\hypotenuse=x$

Therefore, in order to calculate the value of "x", you need to substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and solve for "x".

This is:

$cos(45\°)=\frac{2}{x}\\\\xcos(45\°)=2\\\\x=\frac{2}{cos(45\°)}\\\\x=2\sqrt{2}$

$x$ ≈ $2.83$

Hoochie [10]2 years ago

3 0

Answer:

=2.83 the second option

Step-by-step explanation:

Using the trigonometric ratios we can find the sides of the triangle with the acute angles.

In the triangle provided we will use COSINE

Cos ∅=adjacent/hypotenuse

Let us substitute with the values in the question into the formula.

Tan 45 =2/x

x=2/Cos 45

=2.83 units

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Step-by-step explanation:

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2 years ago

Ecologists sometimes find rather strange relationships in our environment. For example, do beavers benefit beetles? Researchers

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Answer:

The appropriate conclusion that answers the question stated in step one is:

The weak correlation value does not support the idea that beavers benefit beetles.

The largest number of beetle larvae was 55 and the largest number of stumps was 5.

Step-by-step explanation:

1) Select the appropriate practical question.

The appropriate practical question is:

"How does the number of beaver-caused stumps influences the number of beetle larvae clusters?"

2) Make a scatter plot.

The scatter plot is attached below.

From the scatter plot it can be seen that there exists a negative relationship between beaver stumps and beetle larvae. That is as the number of stumps increases the number of beetle larvae decreases.

The maximum number of beaver stumps found is 5.

The best numerical summary for this problem are,

Correlation and regression line

The least square regression line for predicting the number of beetle larvae from the number of stumps is:

y = 31.594 - 2.8365 x.

Use the Excel function "=CORREL(array1,array2)" to compute the correlation.

The correlation value is, r = -0.219.

Both the correlation coefficient and regression line explains a negative relationship between the number of beetle larvae and the number of stumps.

Values amid 0 and 0.3 (0 and -0.3) implies a weak positive (negative) linear relationship amid the variables.

Thus, a correlation coefficient, r = -0.219, indicates a weak negative correlation between two variables.

Thus, the appropriate conclusion that answers the question stated in step one is:

The weak correlation value does not support the idea that beavers benefit beetles.

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3 0

2 years ago

N(17+x)=34x−r I need to solve for x

Paraphin [41]

Answer:

The value of x is, $x= \frac{17N+r}{34-N}$

Explanation:

Given: $N(17+x)=34x-r$

Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.

If $a\cdot(b+c) =a\cdot b + a\cdot c$