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vredina [299]
3 years ago
13

The image shows a ray of light bending at the boundary of a glass block. According to a law of optics, = n, where n is a constan

t. Which equation states the same law in terms of a and b?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
The formula for the light bend would be n1*sin i= n2 * sin r

If you use "sin (90-x)= cos x" principle, you can change the sin in the equation into
n1*sin i= n2 * sin r
n1 * cos a= n2 * cos b
n2/n1= cos a/ cos b

Assuming the n constant is the ratio of the glass compared to water then the answer would be: cos a/ cos b
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Im honestly so confused about this PLEASE help me just give me the right answers plz plz
GREYUIT [131]

Answer:

Step-by-step explanation:

1. is 0.125x – 3.375

2.  0.6x – 5

3. 0.89x-5

Just use a slope calculator and desmos to see if your answer is right. Also a rounding calculator if the answer for one is too long, example: the third one said 0.88888888888889 for the first number so i rounded that to 0.89 to make sure it doesnt look like a computer did it

4 0
3 years ago
Atmospheric pressure decreases by about 11.8% for every 1000 meters you climb. The pressure at sea level is 1013 millibars (a un
erica [24]
At sea level, the pressure is 1013, that's when the altitude is at 0, sea level, let's see

\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &1013\\
I=\textit{initial amount}\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &0\\
p=period\to &1000
\end{cases}
\\\\\\
1013=I(1-0.118)^{\frac{0}{1000}}\implies 1013=I\cdot 1\implies 1013=I

so, the inital amount is 1013, when t = 0,

\bf \textit{Periodic Exponential Decay}\\\\
A=I(1- r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &1013\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &t\\
p=period\to &1000
\end{cases}
\\\\\\
A=1013(1-0.118)^{\frac{t}{1000}}\implies A=1013(0.882)^{\frac{t}{1000}}

now, to check the atmospheric pressure at 4000, simply set t = 4000, to get A.


7 0
3 years ago
Whats the answer i dont understand it
Elis [28]

Answer:

the answer is 32,000 in³

Step-by-step explanation:

6 0
3 years ago
What is a external factor
LenaWriter [7]

Answer:

External factors that affect an organization may be political, economic, social or technological. The same internal factors that lead to an organization's success inevitably characterize that organization's relationship to the external environment in these broad areas.

Step-by-step explanation:

4 0
3 years ago
Find the difference 41 - 275
adell [148]

Answer:

-234

Step-by-step explanation:

Subtracting 275 from 41 would equal -234.

3 0
3 years ago
Read 2 more answers
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