<span>2r ≤ 3(2r - 7)
</span><span>2r ≤ 6r - 21
</span><span>21 ≤ 6r - 2r
</span><span>21 ≤ 4r
</span><span>21/4 ≤ r
r</span>
21/4
r
5.25
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
.
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
, so that
. Then
which simplifies to
Now, recall that
. But we want the substitution we made to be reversible, so that
which implies that
. (This is the range of the inverse sine function.)
Under these conditions, we have
, which lets us reduce
. Finally,
and back-substituting to get this in terms of
yields
Answer:
7.41, 7.6, 745
Step-by-step explanation:
Answer:
The correct option is (D).
Step-by-step explanation:
It is given that GIKMPR is regular hexagon. It means it has 6 vertices.
Since the central angle is 360 degree. Therefore the central angle between two consecutive vertices is
It is given that the dashed line segments form 30 degree angles.
We have rotated the hexagon about O to map PQ to RF. Since P and R are consecutive vertices, therefore the angle between them is 60 degree.
The vertex R is immediate next to the vertex P in clockwise direction.
So if we rotate the hexagon at 60 degree clockwise about O, then we can maps PQ to RF.
Therefore we can also rotate the hexagon at 300 degree counterclockwise about O, then we can maps PQ to RF.
Therefore option D is correct.
