Answer:
B. 0.027
Step-by-step explanation:
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The ladder and the wall it leans on are illustrations of right triangle
The horizontal distance from the base of the ladder is 5.41 feet
<h3>How to determine the horizontal distance?</h3>
The given parameters are:
Length (L) = 26 feet
Angle of elevation (θ) = 78 degrees
The horizontal distance (D) is calculated using the following cosine ratio
cos(θ) = D/L
Substitute known values
cos(78) = D/26
Make D the subject
D = 26 * cos(78)
Multiply
D = 5.41
Hence, the horizontal distance from the base of the ladder is 5.41 feet
Read more about right triangles at:
brainly.com/question/2437195
Given that Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale.
Part A:
Let the number of litres of cranberry juice be x, then the total number of liters of the punch is given by x/0.8
Thus, x + 2 = x/0.8
0.8x + 1.6 = x
0.2x = 1.6
Therefore, the equation with one variable that can be used to find the total number of liters of canbelly juice and ginger ale in the punch is: 0.2x = 1.6, where x is the number of liters of canberry juice in the punch.
Part B.
Given from part A that the number of liters of canberry juice in the punch is given by 0.2x = 1.6, where x is the number of liters of canberry juice in the punch.
Therefore, the number of liters of canberry juice in the punch is x = 1.6 / 0.2 = 8 liters of canberry juice.
Answer:
The equation of the line that passes through the point (-2, 0) and has a slope -2 is:
The graph of the line equation 
is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given that the equation of the line that passes through the point (-2, 0) and has a slope of -2.
so we have
The first step we need to do is to determine the y-intercept of the line.
so substituting m = -2 and (-2, 0) in the slope-intercept form of the line equation to determine the y-intercept b
∵ (x, y) = (-2, 0)
Thus, the y-intercept b of the line is: b = -4
The second step is to substitute b = -4 and m = -2 in the slope-intercept form of the line equation
Therefore, the equation of the line that passes through the point (-2, 0) and has a slope -2 is:
The graph of the line equation is also attached.
