In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree
1 answer:
The angular measure L is : 47°
<h3>What are angles?</h3>Angles are formed when two lines meet.
Analysis:
Firstly, we calculate for m using cosine rule.
=
+
-2(510)(820) cos 20
= 260100 + 672400 -83600(0.9396)
= 146618.56
m = = 382.9cm
using sine rule to find ∠L
382.9/sin20 = 820/sinL
sinL = 820sin20/382.9
sinL = 820(0.342)/382.9
sinL = 0.732
L = sin inverse of 0.732 = 47°
In conclusion, ∠L is 47°
Learn more about sine and cosine rule: brainly.com/question/4372174
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Answer:
The correct answer is 0.4559.
Step-by-step explanation:
Number of degrees in mathematics given by U.S colleges and universities in the most recent year = 16,071
73% were bachelor's degrees= 73% of 16071 = 11731
Women who earned the bachelor's degree = 48% of 11731 = 5630
21% were master's degrees= 21% of 16071 = 3374
Women who earned the masters's degree = 42% of 3374 = 1417
The rest degree were doctorates= 16071 - 11731 - 3374 = 966.
Women who earned the doctorates degree = 29% of 966 = 280
Total number of women who got mathematics degree = 280 + 1417 + 5630 = 7327.
We need to choose a mathematics degree at random and find the probability that it was awarded to a woman
Probability = = 0.4559