When we are given a line cutting diagonally from one corner of a rectangle to the opposite corner, we are given two triangles.
300ft
____
| /|
| / |
| / |
| / |400ft
| / |
| / |
|/ |
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*not to scale
Now, using the right-angle trigonometry rule, we can find the hypotenuse (the diagonal line) which represents the footpath.
a^2 + b^2 = c^2
{where a is one side length, b is another side length, and c is the hypotenuse}
Thus, we make c the subject of the equation and substitute the other known values:
c^2 = 400^2 + 300^2
= 160,000 + 90,000
= 250,000
Now we move the 'squared' (^2) from the left hand side to the right hand side. When moving it across the equal sign (=) the result becomes the 'root' of itself:
c = _/250,000
= 500
Therefore, the length of the diagonal path is 500ft.
Answer:
16 MPH boat speed still water
5 MPH current speed
Step-by-step explanation:
84/4 - x = 55/5 + x
x = (84/4-55/5)/2 = 5 mph current speed in MPH
11+5 = 16 is boat speed in MPH
21 MPH downstream, 11 MPH upstream
x < -3
Click pic for explanation
Answer:
C) y=3x-10
Step-by-step explanation:
All options given are in slope-intercept form.
m - slope
b - y-intercept
We are looking for the equation with a y-intercept of -10 and a slope of 3.
Options A and B have a y-intercept of -3 and 3. So, they are not the best answers.
Option D has a y-intercept of 10, not -10.
Option C has a slope of 3 and a y-intercept of -10.
This means that Option C will be the best answer.
Hope this helps.
1. x = 60 degrees, y = 50 degrees
2. e = 85 degrees
3. f = 158 degrees