Answer:
222.51 (when rounded)
Step-by-step explanation:
Pi x r squared is the formula to find the area of a circle
153.94 + 12.57 + 56
= 222.51
You basically find the area of each circle by find their diameters. So half of the length shown on each circle.
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
To get the result we just have to divide 3.4 liter by 0.4 liter.
3.4:0.4=8.5 - its our result.
To better undestand lets think that u have 4 piece of cake and 2 person. To know how much u can give each person u have to divide 4 piece by 2 person. Its similar situation here.
Circumference = 2 x Pi x R
if we use 3.14 as pi, you would do 2 x 3.14 x 4, which would equal 25.12, i’m not sure if it was meant to be rounded to 25, but none of the multiple choice answers would be correct
