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3 years ago

Which list shows these numbers in order from least to greatest

Mathematics

2 answers:

galben [10]3 years ago

8 0

i think it is "b" but im not 100% sure because im learning this right now too. i hope this helped :)

Rainbow [258]3 years ago

4 0

Answer:

B) -5, -2.4, 20%, sqrt(9), 3pi

Step-by-step explanation:

sqrt(9) = 3

3pi = 3 * 3.14 = 9.42

20% = 0.2

Answer: B) -5, -2.4, 20%, sqrt(9), 3pi

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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

2 years ago

I don’t know the answer

ale4655 [162]

Answer:

I think it is B. 30 degrees

Step-by-step explanation:

Because if ZUY is 90 degrees and half of 90 degrees is 45 degrees but TUZ is a little bit less than the middle part of ZUY it has to be less than 45 degrees by a little bit and the only option would be 30 degrees. Hope this helped (:

8 0

3 years ago

Find the product of (x + 5)(x − 5). (1 point)

sleet_krkn [62]

FOIL (first outside inside last)

x^2-5x+5x-25 = x^2-25

4 0

3 years ago

Read 2 more answers

Solve the inequality for –5.3 ≥ 6.7 + 4.3 + q

Tom [10]

Answer:

-16.3 ≥ q

Step-by-step explanation:

–5.3 ≥ 6.7 + 4.3 + q

Combine like terms

–5.3 ≥ 11 + q

Subtract 11 from each side

–5.3-11 ≥ 11-11 + q

-16.3 ≥ q

5 0

3 years ago

Read 2 more answers

If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?

mihalych1998 [28]

Circumference of entire circle = 2 * PI * 10
circumference of entire circle = 62.832 feet
81 degrees is (9/40) of a circle
62.832 * (9/40) = 14.1372 

Source:
http://www.1728.org/radians.htm

4 0

3 years ago