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antiseptic1488 [7]
2 years ago
6

How to find missing number in equivalent ratio

Mathematics
1 answer:
Rashid [163]2 years ago
5 0

Explanation:

Consider ...

  x/a = b/c . . . . . find x

Multiplying by the denominator under x gives ...

  x = ab/c . . . . the value of the unknown.

____

In the case where the unknown is in the denominator, you can invert the ratios and solve as above:

  a/x = c/b . . . . . note that x is in the denominator

  x/a = b/c . . . . . equivalent equation, solve as above

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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
9 months ago
Plsss hurry!!!! i rlly need help
Lostsunrise [7]

Answer:

41 21/25

Step-by-step explanation:

38 1/25 + 3 4/5 = 41 21/25

3 0
2 years ago
Read 2 more answers
Construct a truth table for the statement ~( p v ~q) <br> pq Truth Table
Likurg_2 [28]

Hello

T for True

F for False

\left|\begin{array}{c|c|c|c|c}p&q&\~q&pv\~q&\~(pv\~q)\\---&---&---&---&---\\T&T&F&T&F\\T&F&T&T&F\\F&T&F&F&T\\F&F&T&T&F\\\end{array}\right|

thanks

4 0
3 years ago
Customers of a phone company can choose between two service plans for long distance calls. The first plan has no monthly fee but
77julia77 [94]
119 minutes of calls
5 0
3 years ago
A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?
Marizza181 [45]

Answer:

63 books per capita in the library

<em></em>

Step-by-step explanation:

Given

Books = 2.73 * 10^3

People = 43

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

Average = \frac{Books}{People}

Average = \frac{2.73 * 10^3}{43}

Average = \frac{2.73 * 1000}{43}

Average = \frac{2730}{43}

Average = 63.488372093

Average = 63 (Approximated)

Hence;

<em>There are 63 books per capita in the library</em>

7 0
3 years ago
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