Steve and Michelle Neely are celebrating their 30th anniversary by having a reception at a local reception hall. They have budge
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Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use in [1] we have;
Multiply both sides by 3 we have;
⇒
Divide both sides by 78.5 we have;
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
Answer:
Step-by-step explanation:
We are given the following in the question:
The numbers of teams remaining in each round follows a geometric sequence.
Let a be the first the of the geometric sequence and r be the common ration.
The term of geometric sequence is given by:
Dividing the two equations, we get,
the first term can be calculated as:
Thus, the required geometric sequence is
A pair of the opposite sides of a hexagon has equal length and this is proved below.
<h3>How to illustrate the hexagon?</h3>It should be noted that a hexagon is a polygon that has six sides.
In this case, it has 6 sides.
The total angles will be:
= (n - 2) × 180
= (6 - 2) × 180
= 720°
Each angle will hence be:
= 720°/6
= 120°
Each angle are equal and this illustrates that the parallel sides are equal.
A diagram is attached to illustrate the pair of parallel sides.
Learn more about hexagon on:
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