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mixer [17]
3 years ago
12

Can any body help my son with this is very important please some body help him in tanks very much I hope some body help me

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.

1). Days in May: 31
     Days in a year:  365
     Their ratio:    31/365 .

2).  Sides of a triangle:  3
       Sides of a square:  4
       Their ratio:        3/4 .

The middle box explains how two ratios can be equal,
and it gives you a very detailed example.  You should
read the middle box and understand it.
Ratios are fractions.  They can be equal in just the same
way that any two fractions can be equal. 
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.

3).  8/12         Cook up three equal ratios.
       1.  divide top and bottom by 2 . . . . . 4/6
       2.  divide top and bottom by 4 . . . . . 2/3
       3.  multiply top and bottom by 9 . . . . 72/108
       These are just some that I chose.
       There are millions of others. 

4).  20/25      Cook up three equal ratios.
       1.  divide top and bottom by 5 . . . . . 4/5
       2.  multiply top and bottom by 4 . . . . 80/100
       3.  multiply top and bottom by 3 . . . . 60/75
       These are just some that I chose.
       There are millions of others. 

5).  5/6         Cook up three equal ratios.
       1.  multiply top and bottom by 2 . . . . 10/12
       2.  multiply top and bottom by 3 . . . .
       3.  multiply top and bottom by 9 . . . . 45/54
       These are just some that I chose.
       There are millions of others. 

6).   10/14         Cook up three equal ratios.
       1.  divide top and bottom by 2 . . . . 5/7
       2.  multiply top and bottom by 2 . . . .
       3.  multiply top and bottom by (you choose) . . . . 


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A sphere of radius r is cut by a plane h units above the equator, where
Anika [276]
Consider the top half of a sphere centered at the origin with radius r, which can be described by the equation

z=\sqrt{r^2-x^2-y^2}

and consider a plane

z=h

with 0. Call the region between the two surfaces R. The volume of R is given by the triple integral

\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx

Converting to polar coordinates will help make this computation easier. Set

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi

Now, the volume can be computed with the integral

\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

You should get

\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)
5 0
3 years ago
50 cases in 44 minutes equals how many cases in 60 minutes
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To solve this, set up a proportion, crossmultiply, and solve for x. 

Let x = the unknown amount of cases in 60 minutes.

\frac{50}{44} = \frac{x}{60}
44x = 50(60)
44x = 3000

Divide both sides by 44 to isolate variable x
x = 3000 / 44
x ≈ 68.1818 (the 18s repeat forever)

Rounding to the closest case and assuming the rate stays constant, you would get approximately 68 cases in 60 minutes. If you need not round to the nearest case, you would get approximately 68.18 cases in 60 minutes. 
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3 years ago
If you save up $100 every 2 weeks, how much money would you have in a year ?
Pachacha [2.7K]

alr! so we know that there are around 52 weeks in a year (not counting leap years). and you save up 100 bucks every 2 weeks. then to find the answer, we do...

100(52/2)

100(26)

= $2600

youre welcome!

8 0
3 years ago
Sammy makes $2362/month as a baseball coach. He is making a budget, and has made the following chart in order to divide his mont
Elis [28]

Sammy calculated the total amount that he deposited by <em>adding up the total amount deposited in each account.</em>

  • The Checking account is used to pay for fixed and variable essential expenses.  In this account, Sammy deposited $1,712.

  • The Cash account is used for non-essential expenses, like snacks, etc.  A total of $260 was deposited into this account.

  • The Emergency Savings account is used for both other predictable and unpredictable expenses.  A total of $340 was deposited into the account.

  • For the Vacation Savings account, it is used to carter for other long-term expenses.  A total of $50 was deposited into the account.

  • When these accounts are added up, the total deposit made by Sammy can be calculated to be $2,362 ($1,712 + $260 + $340 + $50).

Data and Calculations:

Accounts             Checking   Cash Account    Emergency     Vacations

                                                                             Savings         Savings

Expenses:

Essential (fixed)       $1,292

Essential (variable)      420

Non-essential                                  $260

Other predictable                                                   $130

Other (unpredictable)                                              210

Other (long-term)                                                                        $50

Total                       $1,712              $260             $340             $50

Thus, Sammy calculated the total amount that he deposited by adding up the total deposit in each account.

Link for related question:

brainly.com/question/22429629

5 0
2 years ago
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