Need help please somebody
1 answer:
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Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ =
Cosθ =
tanθ =
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ =
θ =
Option (A) will be the answer.
<span>Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.
Question 3.3. What is the slope of the line represented by the equation?
There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?
Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?
15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30
Question 3.3. What is the slope of the line represented by the equation?
There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?
Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?
15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30