The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
Divide by a 100. that's it
Answer:
Option D. The student did not use the correct formula to calculate the area of the segment
Step-by-step explanation:
step 1
Find the area of the isosceles triangle
Applying the law of sines

step 2
Find the area of the sector
The area of the sector is 1/6 of the area of the circle
so

substitute the value

step 3
Find the area of the segment
The area of the segment is equal to the area of sector minus the area of triangle

therefore
The student did not use the correct formula to calculate the area of the segment
Answer:
Step-by-step explanation:
Remember that
Area of Circle =

They told us that for this circle, the area is 
If you put it back into the formula for area of a circle we get:
Area of Circle =

Divide both sides by
.
144 = 
Now we want to solve for r (r = radius).
You need to square root each side


So now we know the radius,
metres
Also remember that
Diameter = 
So,
Diameter = 2 times 12 = 24 metres