Answer:
<em>h</em> = 435.779 m
Step-by-step explanation:
Step 1: Define variables
∅ = 5°
Hypotenuse (the road) = 5000 meters
We need to find height (or the vertical leg on the triangle) = <em>h</em>
Step 2: Use trig
sin∅ = opposite over hypotenuse
sin5° = <em>h</em>/5000
Step 3: Evaluate
5000sin5° = <em>h</em>
<em>h</em> = 435.779 m
Answer:
The slope is 2
Step-by-step explanation:
The formula to find slope is y2-y1/x2-x1
Plug in the numbers and you get: 5-3/1-2
The result of that is -2/-1 which can be simplified to 2
Slope of AB
m = (y2 - y1)/(x2 - x1)
m = (11 - (-4))/(2 - (-1))
m = (11 + 4)/(2 + 1)
m = 15/3
m = 5
The slope of line AB is 5
Slope of CD
m = (y2 - y1)/(x2 - x1)
m = (10 - 1)/(4 - 1)
m = 9/3
m = 3
The slope of CD is 3
Since the two slopes are not equal, this means the lines are not parallel.
Since (slope of AB)*(slope of CD) = 5*3 = 15 is not equal to -1, this means the lines are not perpendicular
Answer: Neither (not parallel; not perpendicular)
Answer:
Step-by-step explanation:
p = (3n + a)/(n + a)
Cross multiply
p(n + a) = 3n +a
pn + pa = 3n + a
pa - a = 3n - pn
a(p - 1) = n(3 - p)
Dividing by p - 1
a = n(3 - p)/(p - 1)
