The horizontal distance is given by the formula:
tan θ=opposite/adjacent
where:
θ=21
opposite=2000 ft
adjacent=a
thus calculating for a we get:
tan 21=2000/a
thus
a=2000/tan 21
a=5210.18 ft
Answer: 5210.18 ft
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
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It’ll be 20.
12+28+15+25+20=100
100/5= 20
Add all the numbers and then divide by the total amount of numbers there and that’s your answer
Answer:
y = 2x + 0
Step-by-step explanation:
the formula is y = mx + b
m = slope = change in y/change in x = (84 - 76)/(42 - 38) = 2
Slope is 2.
b is the y-intercept, which is the coordinate when x = 0. To find b, substitute any coordinate from the table. Let's use (38, 76)
y = 2x + b
76 = 2(38) + b
76 = 76 + b
b = 0
So the equation is y = 2x + 0
