Answer:
1.80 in^3
1.0 fluid ounces^3
Step-by-step explanation:
volume of a cone = 1/3 πr²h
π = 3.14
r = 2.2 / 2 = 1.1
h = the value of h can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1.8² = 1.1² + b²
3.24 = 1.21 + b²
3.24 - 1.21 = b²
2.03
b = √2.03 = 1.42
Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3
1.80 x 0.554 = 1.0 fluid ounces^3
Answer:
x=2/3
Step-by-step explanation:
8 (3x-4)= 4x-2
24x-32= 4x-2
20x=30
x=2/3
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is
If we are looking for x when f(x) = 64, then
Take the natural log of both sides:
The rules of logs allows us to bring the x down in front:
Divide both sides by ln(2) to get:
Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.
First calculate the hourly rate, which is the difference of cleaning 2 and 1 rooms:
175-125=50
then calculate the initial value by subtracting the hourly rate from the "1 room" cost:
125-50=75
The initial cost might be something like driving to the place (which is only necessary once), while the rate covers work time or cleaning utensils used.
Answer:
55° 16' 30" = 0.9648 radians .
Step-by-step explanation:
