Answer:
degree measure of arc AB = 120°
length of arc AB = 40π/3 in.
Step-by-step explanation:
arc AB has the same measure as its central angle. So, arc AB = 120°
120 is 1/3 of 360, Therefore, the length of arc AB is 1/3 of the circumference.
Therefore, the
length of arc AB = 1/3πd = 1/3π(40) =
= 40π/3 in.
Answer:
x = - 4
Step-by-step explanation:
Given
x + 4 =
x
Multiply through by 3 to clear the fractions
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
Answer:
5) 19/4
7) 49/5
Step-by-step explanation:
Set the formula. length x width x height = Volume and solve for whichever
Answer:
Choice B:
.
Step-by-step explanation:
For a parabola with vertex
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is
, such that
and
. There would exist a constant
such that the equation of this parabola would be:
.
The next step is to find the value of the constant
.
Given that this parabola includes the point
,
and
would need to satisfy the equation of this parabola,
.
Substitute these two values into the equation for this parabola:
.
Solve this equation for
:
.
.
Hence, the equation of this parabola would be:
.