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Hey there!

The rule for the suface area of a cylinder is:

\(SA=2\pi r^2+dh\)

Knowing this we can just plug the numbers into this:

\(SA=(2\times \pi \times 3^2)+(6\times 8)=...inches^2\)

Let me know how you go :)

I've solved something like  this  before with a tedious  (probably  unduly so) process

No solutions exist UNLESS we make ONE slight change to equation  3  (letting it equal 31  instead of 30)

We  can  then solve this  by  inspection

Let   z = 25     y =  9   and  x = 4

So

sqrt ( 4)  + sqrt ( 9)  + sqrt (25)   =    2  + 3  + 5   =   10

And

4  +  9  +  25  =   38

And

sqrt (4*9)  + sqrt (4 *25)  +  sqrt (9 * 25)   =

sqrt (36)  + sqrt (100) +  sqrt (225)  =

6    +   10    +    15  =     31

Let  the original  fraction be           x  / ( x + 1)

So  2  1/6  =   13/6

So  we have

x / (x + 1)  +  13/6  =   (x + 4)    /  (x - 2)       simplify

(6x + 13 (x + 1) )  /  (6 ( x + 1) )  =     (x + 4)  /( x - 2)

(19x + 13) ( x - 2)   =  6( x + 1) ( x + 4)

19x^2 -25x - 26  =  6(x^2 + 5x + 4)

19x^2  - 25x  - 26  = 6x^2 + 30x + 24

13x^2  - 55x - 50  = 0     factor as

(13x  +10) ( x - 5)  =  0

Since  we probably want an integer answer....the second  factor is what we need

x - 5  =  0

x  =  5

The original  fraction is  x / (x + 1)  =      5 / 6

Proof

5/6  + 13/6  =   (5 + 4)  / (5 - 2)

18/6  =  9/3

3   =     3

Kara sells cars for a living. Each month, she earns $1,300 of base pay, plus 10.3% of commission from her sales. One month, Kara made $57,400 in sales. How much income did she earn in total in that month? 

10.3%  =  .103

So......

1300  +  57400 (.103)    =  $7212.20

Let's supppose  that   100  people were called

Then  18  calls resulted in a  no answer  or a busy signal

So   100 -  18  = 82  calls were completed

So   8%  of these result  in a sale   = .08 * 82   = 6.56 calls

So   6.56  / 100   =     6.56 % resulted in a sale

9(9 + 3x + 1) = 15²

x = 5

AC = 25

The lengths of the sides of a triangle are 6 cm, 7 cm, and 9 cm. In a similar triangle whose perimeter is 110 cm, what is the length of the longest side, in centimeters?

The ratio of sides is 6:7:9

6 + 7 + 9 = 22

110/22 = 5

The longest side = 9 * 5 = 45 cm

Hello Guest!

\((9+x):x=11:3\\ 27+3x=11x\\ 27=8x\\ x=\frac{27}{8}=\color{blue}3\frac{3}{8}\)

  !

All you did was post your homework problems and copy the answers.  You shouldn't be a proud of a grade that you never actually earned.

Hey there!

Given you have 2 angles in the triangle \(FDG\) you can find0  \(\angle DGF\)

\(\angle DGF=180-27-41=112^o\)

Now we also know that the inside angle is also 111 giving you

\(\angle EGB =27^o\)

Hope this helped :)

Check this answer https://web2.0calc.com/questions/let-be-a-function-piecewise-defined-as-if-is-negative

value of a is -30.5.

The set of all z is (-4,1) U (1,4).

There are seven such integers.

The probability that it will be cloudy tomorrow is 44%.

The value of a is -13.

Take a closer look at a diagram; ft=>feet     m=>meters     1m³ ≈ 35.3 cubic feet

Volume of prism A = 132 ft³

Volume of prism B ≈ 1854 ft³

Degree of polynomial is 6.

Figure A has a volume of 4*11*6/2. 

Figure B has the volume of 3*5*7/2. 

Can you calculate which one has more?

I hope this helped. :))

=^._.^=

You're welcome. :))))))))

=^._.^=

The number of factors is (a+1)(b+1)... you can google it if you don't know. 

a is the number of that paticular prime factor. 

So for 9 factors. (a+1)(b+1) = 9

so both a and b must be 2. 

6 = 2*3

So we need two factors of 2, and two factors of 3. 

2*2*3*3 = 36. 

There are only two prime factors of 36, 2 and 3. 

I hope this helped. :))

=^._.^=

thanks!

ZX = 7. sqrt(25^2-24^2)

Tan is oposite side/adjacent side. 

Oposite side is 7. 

Adjacent side is 24. 

Our answer is 7/24. 

I hope this helped. :))

=^._.^=

To find an equation of a circle, you start by finding the center coordinates, (-2, 3), you also need the raduis, 7. 

Since the x coordinate is -2, the first part is (x+2) since -2+2 = 0. 

The second part is (y-3) since 3-3 = 0

(x+2)^2+(y-3)^2 = r^2

the raduis is 7, and 7^2 = 49. 

(x+2)^2+(y-3)^2 = 49. 

:))

=^._.^=

Let's say each 2/3 cups is X

and X=6

4x=24

Now we need 1/6 of 2/3 which is 2/18

So you need 4 and 1/9

Yay!