The volume of a right cylinder is 108π and its height is 12.

What is the length of the cylinder's radius?

Answer:

14.3

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2   where a and b are the legs and c is the hypotenuse

14^2 + 3^2 = c^2

196 + 9 = c^2

205 = c^2

Take the square root of each side

sqrt(205) = sqrt(c^2)

14.31782106 = c

Rounding to the nearest tenth

14.3 = c

Answer :

⠀

Explanation :

⠀

Solution :

where,

We know that,

[tex]{\longrightarrow \pmb{\mathbb {\qquad (XZ) {}^{2} = (XY) {}^{2} +( YZ) {}^{2} }}} \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf{\pmb {\qquad (XZ) {}^{2} = (3) {}^{2} +( 14) {}^{2} }}} \\ \\ [/tex]

We know that, (3)² = 9 and (14)² = 196. So,

[tex]{\longrightarrow \sf{\pmb {\qquad (XZ) {}^{2} = 9 +196 }}} \\ \\ [/tex]

Now, adding 9 and 196 we get :

[tex]{\longrightarrow \sf{\pmb {\qquad (XZ) {}^{2} = 205 }}} \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from XZ :

[tex]{\longrightarrow \sf{\pmb {\qquad \sqrt{(XZ) {}^{2}} = \sqrt{205 }}}} \\ \\ [/tex]

When we take the square root of (XZ)² , it becomes XZ,

[tex]{\longrightarrow \sf{\pmb {\qquad XZ = \sqrt{205 }}}} \\ \\ [/tex]

We know that, square root of 205 is 14.317 (approx) .

[tex]{\longrightarrow { \mathbb{\pmb {\qquad XZ }}}} \approx \pmb{\mathfrak{14.317 } }\\ \\ [/tex]

So,

Based on the fact that the distance driven is proportional to the gallons used, the missing figure is 8 gallons.

The question is incomplete so I will use a similar question to explain the concept.

If the number of miles driven is proportional to the number of gallons used then you can find the number of miles driven per gallon as:

= Number of miles driven / Number of gallons used

= 112 / 4

= 28 miles per gallon

You can also use other entries in the table to get the same answer:

= 280 / 10 gallons

= 28 miles per gallon

If 224 miles have been driven, the number of gallons used would therefore be:

= Number of miles driven / Miles per gallon

= 224 / 28

= 8 gallons

Find out more on proportionality rules at https://brainly.com/question/870035.

Your answer is (3,1)

Yw and pls mark me brainiest

Answer:

D. 6(x+2y)-y

Step-by-step explanation:

Both expressions can be simplified into 6x + 11y

3(2x+4y)-y
6x + 12y - y
6x + 11y

6(x+2y)-y
6x + 12y - y
6x + 11y

Answer:

D. 6(x+2y)-y

Step-by-step explanation:

To solve for the equivilent expression, begin by simplifying the given expression. (1) To simplify 3(2x+4y)-y, you can first multiply 3 into the parentheses then combine like terms; (6x+12y)-y or 6x + 12y - y --> 6x + 11y. (2) Solve to find which expression listed will yield the same product, 6x + 11y, when simplified as well. This is quiet straightfoward to see and you wont be needing to solve each individual problem. 6(x+2y)-y will simplify to 6x + 12y - y which is then equal to --> 6x + 11y. Meaning, D. 6(x+2y)-y is equvillent to 3(2x+4y)-y.

Answer:

4(1+7x)

Step-by-step explanation:

There are 2 terms in this expression: Factorize them

4: 2 * 2

28x: 2 * 2 * 7 * [tex]x[/tex]

Which factors do both of the terms have in common?

2 and 2, which means that the GCF is 4.

Now to figure out whats inside the parentheses.

What number multiplied by 4 gives 4? 1

What number multiplied by 28x gives 4? 7x

So the final result is 4(1+7x)

Answer:

dont anwer it

Step-by-step explanation:

its realy harder than mine

Answer:

1/4

Step-by-step explanation:

Amplitude is equal the A part of the function which is 1/4.

Answer:

2.5

Step-by-step explanation:

5 divided by 2 equals 2.5

option A

hope it really helps...!!!

Answer:

165 km²

Step-by-step explanation:

First, let us find the area of the big rectangle.

Area = length × Width

Area = 15km × 13 km

Area = 195 km²

Now, let us find the area of the small rectangle.

Area = length × width

Area = 6 km × 5 km

Area = 30 km²

And now, let us find the area of the shaded region.

For that, we have to subtract the area of the small rectangle from the area of the big rectangle.

Area = 195 km² - 30 km²

Area = 165 km²

Answer:

-2

Step-by-step explanation:

plug in -1

Answer:

x = 36

Step-by-step explanation:

Remark

This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.

We can use the following proportion

42/14 = x / 12    Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply

14*x = 42 * 12            Combine the right

14x  = 504                 Divide by 14

x = 504/14

x = 36

Answer: -130

Step-by-step explanation:

Answer:

Negative 1 and three-fifths meters

The solution of the equation is y = 3.

An equation between two variables that gives a straight line when plotted on a graph.

The solution to the equation is;

[tex]\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3[/tex]

Hence, the solution of the equation is y = 3.

To know more about linear equations click the link given below.

https://brainly.com/question/14824234

The factored form of the given quadratic equation is (3x+5)(3x+2).

The given quadratic equation is:

[tex]9x^{2} +21x+10[/tex]

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

Splitting the middle term of the given quadratic equation:

[tex]9x^{2} +15x+6x+10[/tex]

[tex]3x(3x+5)+2(3x+5)[/tex]

[tex](3x+5)(3x+2)[/tex]

So this is the factored form of the given quadratic equation.

Hence, the factored form of the given quadratic equation is (3x+5)(3x+2).

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Answer:

picture of answer.

Step-by-step explanation:

Answer:

f(x) = -5(x+1)(x-5)

Step-by-step explanation:

Because the x-axis of the arch is 1 and -5 and it couldn't be -1/5 because the y-axis doesn't show that.

Answer:

y=6x+4

Step-by-step explanation:

Answer:

126.19%

Step-by-step explanation:

Answer:

The answer is 70

Step-by-step explanation:

This is an inscribed angle, and acording to the inscribed angle therom, the ? is 1/2 the measure of it ark.

So divide the ark measure (140 degrees) by 2

and you get 70 as your answer

Hope this helps!! (ɔ◔‿◔)ɔ ♥

Answer:

74 in²

Step-by-step explanation:

The easiest way to find the area is to imagine the rectangle as a whole rectangle, then subtract the area of the empty space.

The area of the whole rectangle can be found with:

A = b · h

A = 9 in · 11 in

A = 99 in²

So the area of the entire rectangle (with the empty space included) is 99 in².

In order to find the area of the composite figure, you need to subtract the area of the empty space, which can be found with:

A = b · h

A = 5 in · h

In order to find the height of the empty space, we can take the whole side (11 in) and subtract the values already there (4 in and 2 in).

11 in - (4 in + 2 in) = 5 in

So the height is 5 in:

A = 5 in · 5 in

A = 25 in²

The area of the composite figure is:

A = 99 in² - 25 in²

A = 74 in²

Answer:

Step-by-step explanation:

My in-head skip solutioning method...:

the 4, 5__2,9___4,4,2__=10in.___5,4__=9in.

......__74

Answer:

bracelets : necklaces

9 : 11  

3/24 (actually you have 25 marbles but we took 24 marbles since 1 has already been taken and then replaced , which means that it's not put back in the bag)

3/24 = 1/8

hope it helps...!!!

Answer:

16.76 ft³

----------------------------------------------------------------------------------------------------------

Set up the system of equations for volume. We'll use V for volume, and h for height.

[tex]V = \pi r^2 \frac{h}{3}[/tex]

Now, turn the equations into a multiplication problem, use 2 for radius, and 4 for height.

[tex]\pi * 2 * \frac{4}{3}[/tex]

Next, calculate.

[tex]\pi *2^2 = 12.5663706144...\\\frac{4}{3} = 1.3333333...\\\\12.566 * 1.333 = 16.75048(rough~estimate)[/tex]

----------------------------------------------------------------------------------------------------------

Ask in comments.

Answer:

30

Step-by-step explanation:

Perimeter of parallelogram = 70 ft

-> 2x + 2y = 70 .....(1)

x = 6y (Given) .....(2)

From equations (1) & (2)

2(6y) + 2y = 70

12y + 2y = 70

14y = 70

y = 70/14

y = 5

-> x = 6*5

-> x =30

This shape is called parallelogram.

perimeter : 2(base + height)

Identify the base and height

base : x ≈ 6(y)                                          [ as x is 6 times as large as y ]

height : y

====================================

Find x:

Answer:

870.

Step-by-step explanation:

There are 30 choices of representatives. This leaves 29 choices for alternate representatives.

If one person gets elected for representative, there are 29 choices for an alternate representative.

This is the case if any of the 30 students get elected as representatives.

That means you can set it up as:

x*y where x is the choice of representatives and y is the choice of alternate representatives.

30 * 29, or 870.

Here is a visual example. Students a - dd are shown here.

a b c d e f g h i j k l m n o p q r s t u v w x y z aa bb cc dd

In this case, a has been chosen as class president. Any of the other 29 students could be a alternate, and then paired with a. This makes 29 total possible pairings. This is then repeated for the possibility of every student becoming a president, which creates 30*29.

Please tell me if this is wrong, I will try to make changes!

Answer:

366 cm^3

Step-by-step explanation:

V = lwh

1st rectangle (L) = 3 x 6 x 15 = 270 cm^3

2nd rectangle (R) = 6 x 4 x 4 = 96 cm^3

270 + 96 = 366 cm^3

Hope this helps