In ΔABC,
tanA = a/b
∴ a = b×tanA = 12×1/√3 = 6.928 ~ 6.93 m
A suitable calculator* can do this easily.
61°38'45" = (61 +(38 +45/60)/60)° ≈ 61.65°
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I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.
Answer:
P(X<1200) is 0.8212
Step-by-step explanation:
Test statistic (z) = (X - mean)/sd
X is score of a tester = 1200
mean = 1497
sd = 322
z = (1200 - 1497)/322 = -297/322 = -0.92
The cumulative area of the test statistic is the probability that X<1200. The cumulative area is 0.8212.
Therefore, P(X<1200) = 0.8212
X² + x - 20
= (x+5)(x-4)
x + 5 = 0
x = -5
x - 4 = 0
x = 4
hence the answer is C
Looks like the answer would be 219 people since you can't have half a person.
