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tamaranim1 [39]
2 years ago
15

Suppose 12% of students chose to study Spanish their freshman year, and that meant that there were 15 such students. How many st

udents chose not to take Spanish their freshman year?
Mathematics
1 answer:
Allisa [31]2 years ago
7 0

Answer:

  110

Step-by-step explanation:

If 12% studied Spanish, then 88% did not. The ratio of those who did not to those who did is ...

  88 : 12 = 22 : 3

Then the number of students who did not study Spanish is ...

   (22/3)×15 = 110 . . . . did not study Spanish

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3 years ago
Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7. Law of sines: StartF
JulijaS [17]

Answer: Angle K measures 34° (approximately)

Step-by-step explanation:  (Please refer to the picture attached).

The triangle has been described as having sides JKL and one of the angles identified as angle JLK measures 105 degrees. Also one of the sides labelled JK measures 4.7 while another side JL measures 2.7.

The law of sine (or sine rule) shall be applied as stipulated in the question and this is most appropriate because this rule in mathematics applies when you have a triangle with two sides and one of the angles (facing one of the two sides) given, or when you have two angles and one side facing one of the angles given.

In this question, you have been given two sides, JK and JL and you also have angle K (facing side JL) given. The Sine Rule is stated as follows

SinA/a = SinB/b = SinC/c

(Note that a/SinA = b/SinB = c/SinC is also very correct)

Substituting for the known values, our sine rule can now be re-written as

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Sin 105/4.7 = SinK/2.7

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K = 33.70

K ≈ 34°

Therefore angle K = 34°

5 0
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