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1 answer:
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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!
Answer:
Number of full size cars = 900
Step-by-step explanation:
The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are there in both ratios , we need to make the number in the ratio for compact cars to be the same.
Multiply by 8 on numerator and denominator
Multiply numerator and denominator by 5.
Ratio of medium, compact and full size are in ratio 56,40,45.
Total number of cars =2820.
(56 + 40 + 45)x = 2820
x =
x = 20
Number of full size cars = =900