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Ksivusya [100]
3 years ago
8

En una clase, 1/3 de los estudiantes eligieron estudiar español como segundo lenguaje vivo. 1/9 eligió italiano, el resto eligió

alemán. Qué fracción de los estudiantes de la clase eligieron estudiar alemán? Si hay 15 estudiantes estudiar alemán, ¿cuántos estudiantes no estudian alemán?
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

5/9

12

Step-by-step explanation:

La clase entera es 1.

1/3 estudian español.

1/9 estudian italiano.

1 - 1/3 - 1/9 estudian alemán.

1 - 1/3 - 1/9 = 9/9 - 3/9 - 1/9 = 5/9

<em>5/9 de los estudiantes estudian alemán.</em>

n = numero total de estudiantes en la clase.

5/9 n = 15

9/5 * 5/9 * n = 15 * 9/5

n = 27

Hay 27 estudiantes en la clase.

27 - 15 = 12

<em>12 estudiantes no estudian alemán.</em>

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At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

d*sin(\theta) = m\lambda

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342

Now, to produce a second-order maximum (m=2) the angle must be:

sin(\theta) = \frac{\lambda}{d}*m

\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

6 0
3 years ago
4n^(2)+4n=3<br> Please help with the work
Kaylis [27]

Answer:

n= 1/2 ( \frac{1}{2} )  or  (0.5)

AND

n= -3/2 ( -\frac{3}{2} ) or (-1.5)

Step-by-step explanation:

4n^2+4n=3

step1: move 3 to the other side and make the equation equal to zero.

4n^2+4n-3=0

step2: factorise the equation.

(2n-1)(2n+3)=0

step3: make each bracket equal to zero.

2n-1=0

2n+3=0

step4: solve for n values.

<u>1.</u> 2n-1=0

(add 1 for both sides)

2n=1

(divide by 2 for both sides)

n= 1/2 ( \frac{1}{2} )  or  (0.5)

<u>2.</u> 2n+3=0

( subtract 3 for both sides)

2n=-3

(divide by 2 for both sides)

n= -3/2 ( -\frac{3}{2} ) or (-1.5)

3 0
3 years ago
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A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
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5 0
2 years ago
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