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3 years ago

2 Points

Mathematics

1 answer:

azamat3 years ago

3 0

Answer:

c. 1.2

Explanation:

The possible values of r, the correlation coefficient of a sequence of values, are -1 ≤ r ≤ 1.

This is, r cannot be either less than - 1 or greater than 1.

A correlation coefficient r = -0.1 denotes a very weak negative correlation. A correlation coefficient r = - 0.75 means a strong negative correlation. A correlation coefficient r = 0.5 indicates a moderate positive correlation. A value of r = 1.2 is not possible: r can neve be greater than 1.

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Please look at the picture, I need help ASAP.

forsale [732]

See below for the proof that the areas of the lune and the isosceles triangle are equal

<h3>How to prove the areas?</h3>

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Where r represents the radius.

From the figure, we have:

$\theta = 90$

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$A_1 = \frac 12r^2\sin(90)$

Evaluate

$A_1 = \frac 12r^2$

Next, we calculate the length (L) of the chord as follows:

$\sin(45) = \frac{\frac 12L}{r}$

Multiply both sides by r

$r\sin(45) = \frac 12L$

Multiply by 2

$L = 2r\sin(45)$

This gives

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$L = r\sqrt 2$

The area of the semicircle is then calculated as:

$A_2 = \frac 12 \pi (\frac{L}{2})^2$

This gives

$A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2$

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$A_2 = \frac{\pi r^2}{4}$

Next, calculate the area of the chord using

$A_3 = \frac 12r^2(\theta - \sin(\theta))$

Recall that:

$\theta = 90$

Convert to radians

$\theta = \frac{\pi}{2}$

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$A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))$

This gives

$A_3 = \frac 12r^2(\frac{\pi}{2} - 1)$

The area of the lune is then calculated as:

$A = A_2 - A_3$

This gives

$A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)$

Expand

$A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2$

Evaluate the difference

$A = \frac 12r^2$

Recall that the area of the isosceles triangle is

$A_1 = \frac 12r^2$

By comparison, we have:

$A = A_1 = \frac 12r^2$

This means that the areas of the lune and the isosceles triangle are equal

Read more about areas at:

brainly.com/question/27683633

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2 years ago

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maks197457 [2]

Answer:

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3 years ago

Simplify the expression 3a + b, when a=1.4 -2x and b=-0.2x + 1.7*

kenny6666 [7]

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4 years ago

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MArishka [77]

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3 years ago

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sukhopar [10]

Measure of E is congruent to K, so E is 50 degrees.

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