Answer:
8 students
Step-by-step explanation:
There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.
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The situation is represented by a drawing with a right triangle where an airplane is at the top corner, the elevation angle (opposite to the airplane) is 70°, the height (vertical leg) is x, and the adjacent leg (horizontal leg) to the 70° angle is 800.
Then, to find the height x, which is the opposite leg to the angle, you can use the tangent ratio, which is opposite leg divided by adjacent leg:
tan(x) = opposite leg / adjacent leg => tan(70°) = x / 800
Answer: tan(70°) = x / 800
Answer: XY = 8
Step-by-step explanation:
The diagram of the triangle XYZ is shown in the attached photo.
XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.
Since XY=XZ, then
2a = 5a - 12
Subtracting 2a from both sides of the equation,
2a - 5a = 5a - 12 - 5a
-3a = -12
a = -12/-3
a = 4
Therefore, the length of XY is 2a = 2×4 = 8