Answer:
Central angle = θ = 2.5 radians
Step-by-step explanation:
The radian measure of central angle is given by
Where s is the arc length, r is the radius of circle and θ is angle in radians
We are given an arc length of 5 units
We are given radius of 2 units
Therefore, the central angle in radians is
Bonus:
Radian is a unit which we use to measure angles.
1 Radian is the angle that results in an arc having a length equal to the radius.
Degree is another unit that we use to measure angles.
There are 360° in a circle.
There are 2π radians in a circle.
Yes. In fact, that is basically the definition of a derivative. It is the instantaneous rate of change of a function.
For example, picture the graph of the following function:
The slope is constantly changing at every x-value, so to find the slope at x=a, we find the derivative of the function.
Once we have the derivative, simply plug in a for x to find the slope of the line tangent to f(x) at x=a.
For example, at x=5:
The slope of f(x) at x=5 is 10.
The surface area of the sphere is given by:
The volume of the sphere is:
Answer:
z = 3
Step-by-step explanation:
First we want to find out how they found the slope of the line. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(6 - 0)/ (4 - z)
Simplify the parentheses.
= (6) / (4 - z)
Simplify the fraction.
= 6/(4 - z)
it is given that 6 is your slope. So let's add 6 to the left side of the equal sign.
6 = 6 / (4 - z)
To solve for z, we need to multiply both sides by (4 - z)
(4 - z)6 = 6
Now, divide both sides by 6 to isolate the expression of (4 - z)
4 - z = 1
Add z to both sides so it becomes positive.
4 = z + 1
Subtract 1 from both sides to isolate z.
3 = z
This is your answer.
Let's check it by plugging it back into the slope formula.
(6 - 0)/ (4 - z)
(6 - 0)/ (4 - 3)
= 6/1
= 6
Your answer is correct.
Hope this helps!
Answer:
thats confusing
Step-by-step explanation: