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3 years ago

PLEASE HELP?

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer:

1/3

Step-by-step explanation:

The number of people over 40 is 20 + 30 + 35 = 85.

So the probability is 85/255, which reduces to 1/3.

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21÷(4+3)-10 = <br><br> Please help me solve ^^

Dafna11 [192]

Answer:

-7

Step-by-step explanation:

21 ÷ (4+3) - 10

=> 21 ÷ (7) - 10

=> 3 - 10

=> -7

5 0

3 years ago

Which is the rationalized form of the expression. A, B , C, or D?

grin007 [14]

Answer:

Step-by-step explanation:

Multiply the top and bottom, both by sqrtx-sqrt5. This is in order to rationalize the denominators.

You get answer C.

3 0

3 years ago

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

Let f and g be functions given by f(x)=x^3 and g(x)=x^2 lxl

adell [148]

I post an image instead.
Correction: g(3)=(3²)|3|=9(3)=27

4 0

3 years ago

Right Triangle with legs of 15 and 20, what is the length of the Hypotenuse?

ioda

15^2 + 20^2
= 225 + 400
= 625
square root of 625 = 25

answer:<span>length of the Hypotenuse is</span> 25

5 0

3 years ago