Answer:
and 
Step-by-step explanation:
Assume that the terminal side of thetaθ passes through the point (−12,5).
In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.
Using Pythagoras theorem:




Taking square root on both sides.

In a right angled triangle




In second quadrant only sine and cosecant are positive.
and 
Answer:
steps below
Step-by-step explanation:
1. It can be formed a triangle: sum of any two sides is greater than the 3rd side
2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²
the triangle is an obtuse-angled triangle if the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)
Answer:
A. 3.66 feet
Step-by-step explanation:
Using trigonometry, we know that ...
BC = DC·tan(30°)
AC = DC·tan(45°)
AB = AC -BC = DC(tan(45°) -tan(30°))
AB = 5√3·(1 -√3/3) = 5(√3 -1)
AB ≈ 3.66 . . . feet
Look at the attached image (credit to Desmos graphing calculator)
To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.
Let's try x=0:

One point on the line is (0,1)
Let's try x=1:

Another point is (1,5).
Now, plot these two points and draw a line through them.
Easy...
the root of 2 Is approximately 1.4 to 12343910 to the power of five to the six of the 7×3 which equals to five and then you have to divided by 3.3-40+ -1 so you had to do 8+1.4239 110 but she was to 9.1 9.423910 and then divided by -1 which to your power you get your mom God he