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In the right triangle shown, m V = 60° and UV = 18. 60° How long is UW?
2 answers:
Answer:
Step-by-step explanation:
There are two case I used, since we are not give diagram, so I assumed that U can be the right angle and also assume that W can be the right angle so, I used both assumption to solve, check attachment
1. Using Trigonometry
Assuming that U is the right angle
Tan θ = opp / adj
Tan 60 = UW / UV
Tan 60 = UW / 18
UW = 18 × Tan60
UW = 18 × √3
UW = 18√3
UW = 31.18 unit
Also, assume that W is right angle
Using trigonometry
Sinθ = opp / hyp
Sin60 = UW / UV
Sin60 = UW / 18
UW = 18 × sin60
UW = 18 × √3/2
UW = 9√3
UW = 15.59 unit
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Question:
Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 38 using the method presented in the textbook. 18 19 20 20 21 23 25 31 33 34 35 37 38 47 50 51 55 55 58 59 62 62 64 66 69 70 70 70 71 71 72 74 74 75 77 80 percentile of value 38 = ______ (round to the nearest integer as needed.)
Answer:
33 percentile
Step-by-step explanation:
Given the ages:
18, 19, 20, 20, 21, 23, 25, 31, 33, 34, 35, 37, 38, 47, 50, 51, 55, 55, 58, 59, 62, 62, 64, 66, 69, 70, 70, 70, 71, 71, 72, 74, 74, 75, 77, 80.
We are told to find the percentile corresponding to age 38.
To find the percentile corresponding to age 38 simply means to find the percentage of ages that are less than 38.
From the given values, the number of ages less than 38 are 12. Therefore, the percentile corresponding to age 38 would be:
(Ages less than 38/ total number of ages) * 100
33.333 ≈ 33
The percentile corresponding to age 38 = 33 percentile