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mr Goodwill [35]

3 years ago

13

What is the solution to the equation 3/5n-4/5=1/5n

2 answers:

NeX [460]3 years ago

6 0

<span> n = 2 is the answer. Hope this helped. :)</span>

kupik [55]3 years ago

4 0

Hi there!

The solution to the equation is n = 2.
Why?

All you need to do is subtract 1/5n from both sides:

3/5n+-4/5-1/5n=1/5n-1/5n
2/5n+-4/5=0

Then you need to add 4/5 to both sides...

2/5n+-4/5+4/5=0+4/5
2/5n=4/5

Finally you need to multiply both sides by 5/2

(5/2)*(2/5n)=(5/2)*(4/5)

n = 2

Hope this helps!

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PLEASE HELP! 50 Points!

gulaghasi [49]

The bearing of the plane is approximately 178.037°. $\blacksquare$

<h3>Procedure - Determination of the bearing of the plane</h3><h3 />

Let suppose that <em>bearing</em> angles are in the following <em>standard</em> position, whose vector formula is:

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

Where:

$r$ - Magnitude of the vector, in miles per hour.
$\theta$ - Direction of the vector, in degrees.

That is, the line of reference is the $+y$ semiaxis.

The <em>resulting</em> vector ( $\vec v$ ), in miles per hour, is the sum of airspeed of the airplane ( $\vec v_{A}$ ), in miles per hour, and the speed of the wind ( $\vec v_{W}$ ), in miles per hour, that is:

$\vec v = \vec v_{A} + \vec v_{W}$ (2)

If we know that $v_{A} = 239\,\frac{mi}{h}$ , $\theta_{A} = 180^{\circ}$ , $v_{W} = 10\,\frac{m}{s}$ and $\theta_{W} = 53^{\circ}$ , then the resulting vector is:

$\vec v = 239 \cdot (\sin 180^{\circ}, \cos 180^{\circ}) + 10\cdot (\sin 53^{\circ}, \cos 53^{\circ})$

$\vec v = (7.986, -232.981) \,\left[\frac{mi}{h} \right]$

Now we determine the bearing of the plane ( $\theta$ ), in degrees, by the following <em>trigonometric</em> expression:

$\theta = \tan^{-1}\left(\frac{v_{x}}{v_{y}} \right)$ (3)

$\theta = \tan^{-1}\left(-\frac{7.986}{232.981} \right)$

$\theta \approx 178.037^{\circ}$

The bearing of the plane is approximately 178.037°. $\blacksquare$

To learn more on bearing, we kindly invite to check this verified question: brainly.com/question/10649078

5 0

3 years ago

A bag has 2 yellow cubes, 3 blue cubes and 1 white cube. The answer is 1/6.

disa [49]

In total the bag has 6 cubes and 1 means the white cube you are pulling out from the bag so there is 1/6 chance of getting a white cube.

8 0

3 years ago

51 divided by 4539 answer

Free_Kalibri [48]

Answer:

51/4539=.01123596

4539/51=89

Step-by-step explanation:

6 0

3 years ago

The question is on the image<br>(explain each step)

LuckyWell [14K]

<h3>Answer: x = 35</h3>

==========================================================

Explanation:

All three angles must add to 180. This is true for any triangle.

x+x+110 = 180

2x+110 = 180

2x = 180-110 ... subtract 110 from both sides

2x = 70

x = 70/2 .... divide both sides by 2

x = 35

As a check: 35+35+110 = 180 which helps confirm the answer.

7 0

3 years ago

Read 2 more answers

The net of a triangular prism is show below.Find the rotal surface area of the triangular prism 4.6,4,5,15

marysya [2.9K]

Answer:

228.4cm²

Step-by-step explanation:

Find the diagram attached

Total surface area of the prism = Ph + 2B

P is the perimeter of the base (triangle)

h is the height of the prism

B is Base area

P = 5cm + 5cm + 4cm

P = 14cm

h = 15cm

B = 1/2 * base * height

B = 1/2 * 4.6 * 4

B = 4.6 * 2

B = 9.2cm²

Substitute the values into the formula;

Total surface area of the prism = Ph + 2B

Total surface area of the prism = 14(15)+2(9.2)

Total surface area of the prism = 210 + 18.4

Total surface area of the prism = 228.4cm²

Hence the total surface area of the triangular prism is 228.4cm²

7 0

3 years ago