Answer:
Option B
Step-by-step explanation:
After each round of the tournament one-fourth players are eliminated.
That means the process of elimination will represent the exponential decay.
Equation of exponential decay is given by the expression,
Here, a = Initial number of players
r = Fraction of reduction in the number of players
y = Final number of players
n = Number of rounds
In the given question,
Initial number of the players (a) = 64
Fraction of reduction in the number of players (r) =
= 0.25
Number of rounds (n) = 6
By substituting these values in the expression,
Therefore, Option B is the answer.
1. (-4)² = 16
2. Volume
3. 19.2
4. Composite
5. Mean=6
Mode=5
6. ?
7. ?
Hope This Helps!
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
This means that the volume of a cone is 1/3 × volume of a cylinder if they have the same base and height.
If the cylinder can hold about 4,712 Centimeters cubed of sand and Jared says that the cone can hold about 1,178 Centimeters cubed of sand, then
Jared is not correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 3 EndFraction almost-equals 1,571 centimeters cubed of sand.
hey! i got a failing grade! this world is so small.
Refer to the image attached.
Given: and are congruent.
To Prove: is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to line segment AC. Label the point of intersection between this perpendicular bisector and line segment AC as point D.
Proof:
Consider
(By the definition of perpendicular bisector)
(By the definition of perpendicular bisector)
So, Line segment AD is congruent to DC by the definition of perpendicular bisector.
= (given)
So, by ASA congruence postulate.
∆BAD is congruent to ∆BCD by the ASA congruence Postulate.
Line segment AB is congruent to line segment BC because corresponding parts of congruent triangles are congruent (CPCTC).
So, Option C is the correct answer.