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3 years ago

Does anyone know how to do this? ☺️

Mathematics

1 answer:

kherson [118]3 years ago

4 0

Cos H = A/H
You'll get 0.4235

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For a set of data, r = 0.27. Which is true about the correlation of the variables?

Harman [31]

The correlation is a weak positive correlation

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3 years ago

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Find the measure of the indicated angle to the nearest degree

scoundrel [369]

$\boxed{\sf tan\theta=\dfrac{p}{b}}$

$\\ \sf\longmapsto tan\theta=\dfrac{13}{20}$

$\\ \sf\longmapsto tan\theta=0.6$

$\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}$

$\\ \sf\longmapsto tan\theta\approx tan60$

$\\ \sf\longmapsto \theta\approx 60°$

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3 years ago

I do not see the mistake. Can someone please help me find it?

nikdorinn [45]

3rd one ( not 20 characters so ASHWDHWHEIUCNEJEIH)

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3 years ago

Can i get help? Don’t really understand.

Rufina [12.5K]

First option: correct. This is because angles WOX and XOZ are supplementary, so

$m\angle WOX=180^\circ-104^\circ=76^\circ$

Second option: correct. By the inscribed angles theorem, we have

$m\angle XWZ=m\angle XYZ=\dfrac{113^\circ}2=56.5^\circ$

Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.

Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means

$\dfrac{m\widehat{WY}+113^\circ}2=104^\circ\implies m\widehat{WY}=95^\circ$

Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.

Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have

$\dfrac{m\widehat{WX}+m\widehat{YZ}}2=m\angle WOX\implies m\widehat{WX}+m\widehat{YZ}=2\cdot76^\circ=152^\circ$

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3 years ago

Find the zeros of quadratic polynomial X2 - 2x - 8

Gelneren [198K]

Answer:

The zeroes of a polynomial is the value of x when the polynomial is set to 0.

We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.

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3 years ago