Of the four x-coordinates to choose only 1/√(11) belongs can belong to the unit circle.
The other three x-coordinates are greater than 1, then they are out of the unit circle.
The unit circle formula is x^2 +y^2 = 1
Then to find the y-coordinate given the x-coordinate you can solve for y from that formula:
y^2 = 1 - x^2
y = (+/-)√(1-x^2)
Substitute the value of x
y = (+/-)√{1 - [1/√(11)]^2} = (+/-) √{(1 - 1/11} =(+/-) √ {(11 -1)/11 =(+/-)√(10/11) ≈ +/- 0.95
Answer:
y=6/5x-8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
Since we are already given the slope of the line, we can immediately plug it into the equation:
y=6/5x+b
Now we need to find b
Since the equation passes through the point (5, -2), we can use it to solve for b
Substitute 5 as x and -2 as y:
-2=6/5(5)+b
Multiply
-2=6+b
Subtract 6 from both sides
-8=b
Substitute -8 as b.
y=6/5x-8
Hope this helps!
Answer:
2.02 m
or 2 m 2 cm
Step-by-step explanation:
Imagine a triangle containing the 40° angle and that this angle is at the left. Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle. We need to find the length of this ramp, that is, the length of the hypotenuse.
The sine function relates this 40° angle and the 1.3 m height of the truck bed:
sin 40° = opp / hyp = 1.3 m / hyp
which can be solved for 'hyp' as follows:
1.3 m
hyp = ----------------- = (1.3 m) / 0.6428)
sin 40°
1.3 m
Thus, the length of the ramp must be less than -------------- or 2.02 m
0.6428
where this last result is to the nearest cm.
If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.
