1.
This is because
2.
because
3.
4.
Can't really answer the last 2 w/o the figures
Answer:
(n-1)/2n
Step-by-step explanation:
½(1 - 1/n)
(n-1)/2n
A + b + c = 180
a = 2b
b = c + 4
Substitute the b equation into the a equation
a = 2(c + 4)
a = 2c + 8
Substitute equations a and b into the first equation
2c + 8 + c + 4 + c = 180
4c = 168
c = 42
Find the other angles using c
b = 42 + 4
b = 46
a = 2(42) + 8
a = 92
Therefore angle a is 92 degrees, angle b is 46 degrees, and angle c is 42 degrees.
An acute angle is <90 degrees
a right angle is equal to 90 degrees
an obtuse angle is >90 degrees
Any triangle has angles adding to 180 degrees
therefore three acute angles, eg. 60, 60 and 60 degrees can make up a triangle
2 acute angles and a right angle, say 45 and 45 degrees and 90 degrees make a triangle
any obtuse angle + a right angle will be larger than 180 degrees, so no triangle can exist. another acute angle will make the number of degrees even larger
any 2 obtuse angles will make a number larger than 180 degrees, so with an acute angle is impossible
2 acute and an obtuse angle is possible, say 40, 40 and 100 degrees
This is done through the use of the unit circle.
Your first step is to convert the angle 11π / 2 to an angle between 0 and 2π, which is the range of angles on the unit circle.
This can be done by splitting the circle into sections of π / 2 and counting up 11 sections, or by simply recognizing the fact that 12π / 2 is the same as 6π, which is also the same as 2π. Therefore, we can conclude that 11π / 2 (π / 2 less) is the same angle as 3π / 2.
So we are really finding sin (3π / 2), which is -1 (the y-value of the coordinate at the angle 3π / 2).
