Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
Answer:
Option C is correct.
Ratio of longer leg to hypotenuse is;
Step-by-step explanation:
This is the special right angle triangle 30°-60°-90° as shown below in the figure.
- The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
- The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
- Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.
In 30°−60°−90° right triangle,
- the length of the hypotenuse is twice the length of the shorter leg,also
- the length of the longer leg is times the length of the shorter leg.
Then:
the sides are in proportion i.e,
Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is:
Answer:
The maximum possible area is 1,600 m.
Step-by-step explanation:
You already have the two sides so you just multiply 40×40 and that gives you the area.
Hi there! So, I believe the answer is 60 because 360 degrees in a circle/6 parts is equal too 60. Friend me!!
For this case we have that by definition, the equation in the form of slope-intersection is given by:
Where
Substituting the given point: and the cutoff point we can find the slope,
We have:
Thus, the equation is given by:
Answer:
See attached image