Answer:
5 times
Step-by-step explanation: 71 divided by 14 equals 5
Answer:
x = 27
Step-by-step explanation:
2/3x -2= 16
+2 +2
---------------------
2/3x = 18
multiply by 3 on both sides
2x = 54
divide by two on both sides
x= 27
Answer:
The correct option is;
(Choice C) Both angle measures and segment lengths
Step-by-step explanation:
The given transformations are;
The reflection over the line, , with, A rotation about the point P. Another reflection over <em>. </em>A rotation about the point Q, we have;
The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions
Therefore, the correct option is, both angle measures and segment lengths.
Use Hooke's law to find the spring constant. If it takes 8N to stretch the spring by 0.1m, then
I'm going to assume the spring is fixed to a ceiling, and that any stretching in the downward direction counts as movement in the positive direction. The spring's motion is then modeled by
where
is the position of the spring's free end as it moves up and down. Solving this is easy enough: the characteristic solution will be
Given that the spring is stretched to a length of 1m (a difference of 0.25m from its natural length), and is released with no external pushing or pulling, we have the two initial conditions
and
.
So the spring's motion is dictated by the function
Answer:
C: 31 m/s
Step-by-step explanation:
It falls from a dam.
Thus;
Initial velocity; u = 0 m/s
Height; h = 49 m
Acceleration due to gravity is 9.8 m/s²
To solve for the final velocity this, we will use Newton's third equation of motion;
v² = u² + 2gh
v² = 0² + 2(9.8 × 49)
v = √960.5
v ≈ 31 m/s