Answer: A, D, F
Step-by-step explanation: Angle BAC is angle A in triangle ABC. Use the definitions of the trigonometric functions:
\cos \angle A=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{AC}{AB}=\dfrac{6.9}{12}\\ \\\sin \angle A=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{BC}{AB}=\dfrac{9.8}{12}\\ \\\tan \angle A=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{BC}{AC}=\dfrac{9.8}{6.9}\\ \\\cot \angle A=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{AC}{BC}=\dfrac{6.9}{9.8}
Now
\angle A=\cos^{-1}\left(\dfrac{6.9}{12}\right)\\ \\\angle A=\sin^{-1}\left(\dfrac{9.8}{12}\right)\\ \\\angle A=\tan^{-1}\left(\dfrac{9.8}{6.9}\right)\\ \\\angle A=\cot^{-1}\left(\dfrac{6.9}{9.8}\right)
So, correct options are A, D and F
- The coordinates of a point satisfies the equation of a line if the point lies on the line
- If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
- This means that each point where the two lines touch is a solution to the system of equations
- This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true
<h2>
Explanation:</h2>
You haven't given any option. However, I have tried to complete this question according to what we know about system of linear equations. Suppose you have the following system of two linear equations in two variables:

The fist equation is the blue one and the second equation is the red one. Both have been plotted in the first figure below. As you can see, (-3, -3) is the point of intersection and lies on both lines. So this point is a solution of the system of equation and we can also say that it touches both lines. On the other hand, if you substitute the x and y values of the point for x and y in the equations, both equations will be true, that is:

Also, you can have a system with infinitely many solutions as the following:

Here, every point that is solution of the first equation is solution of the second one. That is because both equations are basically the same. If we divide eq (2) by 2, then we get eq (1).
<h2>Learn more:</h2>
System of linear equations in real life problems: brainly.com/question/10412788
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Given that the first mass of the duck is 0.05 kg and it gains weight at a rate of 0.042 kg/week, the equation that would represent this scenario is,
y = 0.05 + 0.042x
where y is weight and x is the number of weeks. To determine the number of weeks in which the duck's mass becomes 0.890,
0.890 = 0.05 + 0.042x
The value of x from the equation is 20.
Answer:
Step-by-step explanation:
The side of the square = 3^2/7
Use the law of exponents . If the power is a fraction, that means it is
3^2/7 = 3^2 x 1/7 = 7√9
To find the area you multiply this by itself.
This gives you 1.87...
Hope this helps
The correct answer is the choice that you have selected, the third choice.
When, we are looking at the residuals for a regression line, we always want to see the points balance like in the third choice. This means that the equation that we found is right in the middle of the points.