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Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

In a right triangle, one angle is equal to 90 degrees while the sum of the other two angles are also 90 degrees. In this case, x is a right angle, so it equals 90 degrees. We know that one of the other angles is 47 while the second is y. So, y+47=90. To find y, we subtract 47 from 90, which is 43 degrees. y=43 degrees.

chubhunter [2.5K]3 years ago

6 0

<span>90+47=137 X is a right angle so it is going to equal 90 that is where the 90 came from.

180-137=43 to find y we have to subtract 180 (the sum of all triangles) by the sum of x and 47. Which ends up being 43.
X= 90
Y= 43</span>

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Among 18 students in a room, 7 study mathematics, 10 study science, and 10 study computer programming. Also, 3 study mathematics

tatyana61 [14]

Answer:

2 students study none of the subjects.

Step-by-step explanation:

Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).

We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.