Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
V(t) = 32t
when t = 3 seconds,
V = 32*3
V = 96
So velocity will be 96 units/s after 3 seconds.
Answer:
17
Step-by-step explanation:
Given
Finding the second term of the sequence means to find 
To find 
substitute 
into the second expression:
The answer could be
-1287
im not sure
Answer:
Step-by-step explanation:
The given triangle ABC is an obtuse triangle because one of its angles it greater than 90 degrees. The sum of the angles in a triangle is 180 degrees. This means that
Angle A + Angle B + Angle C = 180 degrees
Looking at the triangle,
Angle A = 30 degrees
Angle C = 20 degrees
Therefore,
30 + angle B + 20 = 180
Angle B + 50 = 180
Subtracting 50 from the left hand side and the right hand side of the equation, it becomes
Angle B + 50 - 50 = 180 - 50
Angle B = 130 degrees
