Answer:
r = 31.85 in or 100/π
Step-by-step explanation:
area = πd
200 = 3.14d
d = 63.69
r = 1/2d
r = 31.85 in
The expression 6x^2 will have the shape of a parabola when graphed
<h3>What are quadratic equations?</h3>
Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
<h3>How to determine the shape of 6x^2 when it is graphed?</h3>
The function expression is given as:
6x^2
Express the function as an equation.
So, we have
y = 6x^2
The above equation is a parabola or a quadratic equation.
All quadratic equations have the same shape and the shape is parabola
This means that the expression 6x^2 will have the shape of a parabola when graphed
Hence, the expression 6x^2 will have the shape of a parabola when graphed
Read more about quadratic equations at
brainly.com/question/1214333
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Answer:
Step-by-step explanation:
<u>The Volume of a Sphere
</u>
The volume of a sphere of radius r is given by:
A. )
If the diameter of the sphere is d, the radius is r=d/2. Substituting:
Operating
Simplifying
B.)
The diameter of the sphere is 2/3 cm, thus the volume is:
Operating:
In this question all required information's are already provided. Based on these details the answer to the question can be easily determined. Let us now write down all the information's that are already given.
Mass of the roller coaster = 1000 kg
Velocity of the roller coaster = 20.0 m/s
We know the formula for finding the kinetic energy is
Kinetic energy = 0.5 * mass * (velocity) ^2
= 0.5 * 1000 * (20)^2
= 0.5 * 1000 * 400
= 200000 Joules
So the Kinetic energy of the roller coaster is 200000 joules.
