Answers:
- Red = 1/3
- Yellow = 7/15
- Blue = 1/5
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Explanation:
Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.
- Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
- Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
- Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
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!
Step-by-step explanation:
We can prove that the triangles are congruent using the SAS method.
It's given that GH and JH are congruent (S)
Angle GHF and Angle IHJ are equal since they are vertically opposite (A)
It's given that FH and HI are congruent (S)
Thus, the triangles are congruent, which implies that the remaining sides are equal.
