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22.02.2020 •
Mathematics
In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answers to the nearest tenth.
∠X = 56.9°, ∠Y = 66.6°, ∠Z = 56.5°
∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°
∠X = 56.9°, ∠Y = 66.6°, ∠Z = 120.2°
∠X = 28.6°, ∠Y = 31.2°, ∠Z = 56.5°
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Ответ:
The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°
Step-by-step explanation:
Let's recall that for solving a SSS triangle, we :
1. Use the Law of Cosines first to calculate one of the angles
2. Use The Law of Cosines again to find another angle
3. Finally use angles of a triangle add to 180° to find the last angle.
1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)
Cos x = (81 + 225 - 68.89/270)
Cos x = 0.878
x = Cos ⁻¹ (0.878)
x = 28.6° (rounding to the next tenth)
2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)
Cos y = (68.89 + 225 - 81/249)
Cos y = 0.855
x = Cos ⁻¹ (0.855)
x = 31.2° (rounding to the next tenth)
3. z = 180 - 31.2 - 28.6
z = 120.2°
The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°
Ответ:
The age of paintings is - 26,601 years .
Step-by-step explanation:
Lets calculate-
A= o
Therefore ,
o
t= 26,601.65
Therefore , the age of paintings is 26,601 years old.