Which table represents a direct variation?
2 answers:
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Answer:
- angles: 31.42°, 31.42°, 117.16°
- legs: 23.79 m
Step-by-step explanation:
The base angles can be found from the definition of the tangent function:
tan(base angle) = height/(half-base length)
base angle = arctan(12.4/20.3) ≈ 31.418°
Then the apex angle is double the complement of this:
apex angle = 2(90° -31.418°) ≈ 117.164°
The base angles are 31.42°, and the apex angle is 117.16°.
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The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.
leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters
The length of the legs is about 23.79 m.
Equivalent equations are equations that have the same value
The equation in logarithmic form is
The expression is given as:
Take the logarithm of both sides
Apply the power rule of logarithm
Divide both sides by log(10)
Apply change of base rule
Divide both sides by 2
Rewrite as:
Hence, the equation in logarithmic form is
Read more about logarithms at: