Find the cosine ratio of angle ΘΘ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no spaces. (4 points)
Cosine=adjacent/hypotenuse
adjacent=8
Hypotenuse =17
cosΘ=8/17
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,
Sin(θ) = Perpendicular/Hypotenuse
Sin(79°) = 80 meter/Length of the wire
Length of the wire = 81.4973 ≈ 81.5 meters
Hence, the length of the wire is 81.5 meters.
Learn more about Sine:
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Answer:
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Step-by-step explanation:
We are given the following in the question:
"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."
Independent and Dependent Variable:
- Dependent variable is the variable whose value depends on the independent variable.
- Independent variable is the free variable.
For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.
Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.
Thus, the correct answer is
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Answer:
2y + 2x = 0
Step-by-step explanation:
First you have to find the slope of the line.
Parallel lines have same slope
2y = -2-2x
y=-1-1x, y=-1x-1
slope = -1
Use point slope formula
y-y=m(x-x)
y-(-9) = -1(x-9)
y+9 = -1(x-9)
y+9 = -1x+9
y = -x
y + x = 0
2y + 2x = 0
Answer:
Yes, it simplifies to 1/6.
Step-by-step explanation:
Both the top (numerator) and bottom (denominator) can be both divided by 3. 3 divided by 3 is 1. 18 divided by 3 is 6.
