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kirill115 [55]
3 years ago
9

What do you think could reduce the difference? That's the question...Please help me I've been stuck here for hours!

Mathematics
1 answer:
const2013 [10]3 years ago
8 0
If more of the children brushed and flossed their teeth.<span />
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a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs
fredd [130]

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base =  π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h   ⇒  h= v/πx²    ⇒   h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒  A(x) =  2*π*x² + 2πx (V/πx² )

A(x) =  2*π*x² + 800/x

Taking derivatives:

A´(x)  =  4πx  - 800/x²

A´(x) = 0                4πx  - 800/x² =0     ⇒ πx - 200/x² = 0

( πx³  -  200 )/ x²  = 0      

πx³  -  200 = 0      

x = 4 cm

and h = 400/πx²    ⇒  h = 78.6 cm

To know more about volume of cylinder visit

brainly.com/question/24337953

#SPJ4

3 0
1 year ago
Write a system of equations to describe the situation below. Sparkles the Clown makes balloon animals for children at birthday p
almond37 [142]

Answer:

3.

Step-by-step explanation:

Let's break it down.

Sparkles used 12 balloons total to make 4 balloon animals. Divide 12 by 4, and you will get 3.

What I did for part 2 of the equation, is I multiplied 4 and 5 by 3 to ensure the variable matched my calculations. 4x3 is 12, and 5x3 is 15. add 12 and 15, and you will get 27 total balloons.

5 0
3 years ago
Read 2 more answers
Given f(x)=x-7/3 solve for f^-1(4)
GrogVix [38]
I hope this hepls you


f⁻¹(x)=3x+7


f⁻¹(4)=3.4+7=19
8 0
3 years ago
Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal
Juliette [100K]
Let us try and solve it analytically. We have that the side=x+3  together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that (x+4)^2=(x+3)^2+s^2. This yields s^2+x^2+6x+9=x^2+8x+16
which yields s^2=2x+7, hence a) is the correct answer.
4 0
3 years ago
Read 2 more answers
Sales of $10,000 increase by 65% each year.<br> Whats the y
Elan Coil [88]

Answer:

153.8 I guess... this is your answer

3 0
3 years ago
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