Answer:
40.192 centimeters
Step-by-step explanation:
The circumference of a circle can be found using:
c= pi* diameter
First, we must find the diameter. The diameter of a circle is twice it’s radius.
d=2*radius
The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.
d=2*6.4
d=12.8
Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.
c=pi*diameter
c=pi*12.8
We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.
c=3.14*12.8
c=40.192
Use appropriate units: centimeters
c=40.192 centimeters
The circumference is 40.192 centimeters.
X) = 3 ln(x)
g(x=2) = 3 ln(2)
g(x=4) = 3 ln(4) = 3 ln(22) = 6 ln2
We have two ordered pairs:
(x,3 ln(2)) and (4,6 ln(2))
The average rate of change is the slope (m) of the secant line connecting the two points:
m = (6 ln2 - 3 ln2)/(4-2) = 3ln(2)/2 ≅ 1.04
Bring like terms together
(REMEMBER CHANGE THE SIGN WHEN MOVING ACROSS THE EQUAL SIGN i.e. - becomes + and + becomes -)
4x - 2x = 7 - 3
2x = 4
divide both sides by 2
x = 2
7/8=14/16=21/24 etc.
Hope this helps! :)
Answer:
324cm^3
Step-by-step explanation:
The formula for calculating volume of a triangular prism is 1/2× bhl (b : base, h : height, l : length)
1/2 × 6 × 9 × 12 = 324cm^3