The fourth option is correct.
See the attached image. The red cylinder represents a washer formed by the described revolution. Its volume is

so when we integrate, we take

An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.
Answer: $27.20
Step-by-step explanation:
She bought a blouse for 20% off so it means that she paid 80% of the original price.We can then set up the equation
80% of x = 21.76 where x is the original price so solve for x
0.8x = 21.76
x = 27.20
Which means the original price is $27.20
Answer:
g(f(x)) = 3.15x
Step-by-step explanation:
To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.
If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,
g(f(x)) = 90 (0.035x)
g(f(x)) = 3.15x
THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.
He will be making a right triangle with the legs being 24 x 45. The diagonal will be the hypotenuse of the triangle. To find the amount of fencing we need the perimeter of the triangle.
Use Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
24^2 + 45^2 = c^2
576 + 2025 = c^2
2601 = c^2
sqrt 2601 = c
c = 51
Adding the three lengths the total fencing needed is
51+24+45=120 meters