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
If a skydiver falls 144 feet in 3 seconds in you need to find the time per second that they’re falling, you would simply have to get the time per one second. You have to get the 3 to one, so you would divide by 3 on both sides, getting 48 feet per second. (assuming they fell at the same rate all 3 seconds)
Answer:
The first 3 terms of the sequence 
are:
Step-by-step explanation:
Given the sequence
Here 
represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
Therefore, the first 3 terms of the sequence are:
Answer:
42 miles.
Step-by-step explanation:
It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.
Speed of Mr. Rivers = 48 mph
Speed of Mrs. Rivers = 36 mph
We need to find the distance between them at 10:30 a.m.
10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour
Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24
Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18
Total distance covered by both in half hour = 24 + 18 = 42
Therefore, they are 42 miles far from each other at 10:30 a.m.
