1. 30 inches to 24 inches
Find the percent of change and round to the nearest whole percent

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

To learn more about cylinder click :

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Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

Answer:

im dumb im sorry but u can look it up

Step-by-step explanation:

Answer:

24abc

Step-by-step explanation:

(-c)*(-2a)*12b

Multiply the numbers

-1 * -2 *12 = 24

Multiply the variables

c*a*b = abc

Put it back together

24abc

Answer:

a rate

Step-by-step explanation:

I looked it up :P

Answer:

9x + 34

Step-by-step explanation:

3g(x) - 2f(x); f(x) = 3x - 5 & g(x) = 5x + 8.

3(5x + 8) + - 2(3x - 5) (Plug g(x) & f(x) into equation)

15x + 24 + - 6x + 10 (Use distributive property)

9x + 34 (Combine like terms) - This is as much as it can be simplified.

Answer:

Step-by-step explanation:

Choice

Answer:

Can you award me brainest

Answer:

1. e

2. d

3. b

4. c

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

- construction of a line parallel to line AB through point P

∠TPU is 75°

Step-by-step explanation:

For Plato users

The image may be the result of the construction of a line parallel to line AB through point P

∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°

Answer:

below

Step-by-step explanation:

Got it right

Answer:

1400000

1.4⋅10^6 for science notation ;)

Answer:

1400000x

Step-by-step explanation:

Polynomial factorization topic toh diba?

Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

Answer:

x=1.5

Step-by-step explanation:

4x=6

6/4=1.5

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

Answer:

Here's what i did

Step-by-step explanation:

The answer is h = 0.4t

A linear function is a function in the form of:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

We can use the data in the table to find the relationship between the time (t) and height (h)

Let us use the format (height, time). Hence from the table, we have the points:

(4, 10), (8, 20), (12, 30) and (16,40). Using any two points, in this case (4, 10) and (16,40), we can apply the formula:

[tex]h-h_1=\frac{h_2-h_1}{t_2-t_1} (t-t_1)\\\\h-4=\frac{16-4}{40-10} (t-10)\\\\h-4=0.4(t-10)\\\\h-4=0.4t-4\\\\h = 0.4t[/tex]

Find out more at: https://brainly.com/question/13911928

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]

Done... ♥️♥️♥️♥️♥️

Answer:

what she said ^^ :)

Answer:17

Step-by-step explanation:

Answer:

Y=8x

Hope this helped

Step-by-step explanation:

Answer:

x is equal to 1

Step-by-step explanation:

Answer

Im not that sure i wish i could help

Step-by-step explanation:

have a good rest of ur day :)

Answer:

105

Step-by-step explanation:

A straight line is worth 180 degrees. Therefore, if you subract the given angle (75) from 180 you will get 105.

180-75=105 degrees.

Answer:

X is just the variable or missing edge, side, angle .etc that you are looking for

Step-by-step explanation:

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Answer:

It's "P"

Step-by-step explanation: Please give me my 15 points

Answer:

X= 60º

Step-by-step explanation:

If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.

81º + 39º = 120º

180º - 120º = 60º

Therefore in conclusion, X would be 60º.

Answer:

A

Step-by-step explanation:

Answer:

3y^2+2y

Step-by-step explanation: