Answer:
15
Step-by-step explanation:
Pythagorean theorem states that the hypogenous of a right triangle is
. The hypogenous is the longest part of the triangle which is directly across from the 90 degree angle.
a = 9
b = 12
so,

9/50 = 0.18
0.18*100 = 18%
Answer:
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Step-by-step explanation:
The cosine and tangent functions are useful here. The relevant relations are ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...
cos(40°) = 12/ma
ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet
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The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...
tan(40°) = ml/12
ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet
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The angle formed at Maria's position is the complement of the other acute angle in the right triangle:
M = 90° -40° = 50°
In summary, ...
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
The First two coefficients are positive because they are on the positive side of the y-axis.
The Last two are on the negative side of the y-axis. B is the closest to zero as the wider the graph is, the lower the coefficient is.
The coefficient with the greatest value would be D