For this case we have:
G: Let the variable representing the amount of initial money in the account.
If you spend of G then we have:
Then spend $20, then we have:
Finally, the expression that represents the money left in the account is:
Answer:
The dimensions of a cylinder which has this maximum volume are equal to 1.83 units and 3 units.
<u>Given the following data:</u>
- Height of cylinder, h = 5.5 units.
- Radius of cylinder, r = 4.5 units.
<h3>How to calculate the volume of this cylinder?</h3>
Mathematically, the volume of a cylinder can be calculated by using this formula:
V = πr²h
Next, we would convert the above multi-variable function into a single-variable function by applying the properties of 2 similar triangles:
H/H - h = R/r
H - h = r(H/R)
h = H/R(R - r)
V = πHr²/R(R - r)
In order to maximize the volume of this cylinder, we would determine the critical points of the function by differentiating wrt r:
dV/dr = πH/R(2rR - 2r² - r²)
(2rR - 3r²) = 0
r = 2R/3
r = (2 × 4.5)/3
Maximum radius, r = 3 units.
For the max. height, we have:
h = H/R(R - r)
h = H/R(R - 2R/3)
h = H/3
h = 5.5/3
Maximum height, h = 1.83 units.
Read more on cylinder here: brainly.com/question/315709
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The LCD of 4 and 3 is 4 *3 = 12.
Answer: 12
Answer:
a
Step-by-step explanation:
We can use similar triangle ratio to calculate x.
let one of the hypotenuse of the triangle on top be y.
12/x = y/2y (the ratio of the same sides of similar triangle is always equal)
then use cross method.
xy = 24y
x = 24