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3 years ago

Which option best shows X < -15 Please explain as well, thanks! :)

Mathematics

1 answer:

romanna [79]3 years ago

3 0

Answer:

The line going to the left aka the negative side!

X < -15 means X is less than -15

The line's purpose is to to show the possibilities of X.

So all the numbers lower than -15 are all possibilities of X. (Example: -16, -17 or -20 would be a possibilty of X because they are less than -15!)

Anything going above -15 is not a possibility of X (Example: -14, -13, or 2 are not possibilities of X as they are greater than -15!)

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a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 1

Virty [35]

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

A plane that travels a distance $r$ , in kilometers, with a bearing of $\theta$ sexagesimal degrees can be represented in standard position by means of the following expression:

$\vec r = r\cdot (\sin\theta, \cos \theta)$ (1)

We can obtain the resulting vector ( $\vec R$ ) by the principle of superposition:

$\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})]$ (2)

If we know that $r_{1} = 5\,km$ , $\theta_{1} = 0^{\circ}$ , $r_{2} = 6\,km$ , $\theta_{2} = 60^{\circ}$ , $r_{3} = 4\,km$ and $\theta_{3} = 120^{\circ}$ , then the resulting vector is:

$\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})$

$\vec R = (5\sqrt{3}, 6) \,[km]$

The magnitude of the resultant is found by Pythagorean theorem:

$\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}$

And the bearing is determined by the following inverse trigonometric relationship:

$\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)$ (3)

If we know that $R_{x} = 5\sqrt{3}\,km$ and $R_{y} = 6\,km$ , then the magnitude and the bearing of the resultant is:

$\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}$

$\|\vec R\| \approx 10.536\,km$

$\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)$

$\theta_{R} \approx 34.715^{\circ}$

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479

6 0

3 years ago

Simplify. 5(22 - 9 · 2) - 2( 3 · 2 4) 7 a.-99 b.-83 c.-75 d.-71

Pachacha [2.7K]

Not completely sure on the symbols, but I think it is 5 x ( 22 - 9 x 2 ) - 2 ( 3 x 2 x 4 ) x 7 = 136. It doesn't really match the answers, so my advice is that you use a calculator for this one, or as the person/teacher who gave you the problem how to solve it.

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3 years ago

10(x+10)+2x how do I slove this?

boyakko [2]

You solve the parenthesis first . Then you multiply it by 10 . Then you add that and answer to 2x . So in total you would get 22x or 22x^2

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3 years ago

A pencil and a ruler cost 2.50 together. The ruler costs $1.00 more than the pencil. How much is the pencil

Alenkasestr [34]

P + r = 2.50
r = p + 1

p + p + 1 = 2.50
2p + 1 = 2.50
2p = 2.50 - 1
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p = 1.50/2
p = 0.75 <=== pencil cost 75 cents

r = p + 1
r = 0.75 + 1
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Explain how you can use division to simplify a complex fraction.

PolarNik [594]

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