Write 5 and 2/5 as a decimal
2 answers:
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Answer:
(a)
(b) L reaches its maximum value when θ = 0 because cos²(0) = 1
Step-by-step explanation:
Lambert's Law is given by:
(1)
(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:
(2)
By entering equation (2) into equation (1) we have the equation in terms of the sine function:
(b) When θ = 0, we have:
We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...
Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.
I hope it helps you!
Their earnings would be the same after 4 hours
Let the number of hours be x, and the weekly earning be y
So, the given parameters are:
<u>Kimi</u>
- Earnings = $9 per hour
- Weekly allowance = $8
So, the equation for Kimi's weekly earning is:
<u />
<u>Jordan</u>
- Earnings = $7 per hour
- Weekly allowance = $16
So, the equation for Jordan's weekly earning is:
Equate both equations
Collect like terms
Divide both sides by 2
Hence, their earnings would be the same after 4 hours
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