In this unit, you calculated the surface area of solid figures composed of polygons, such as rectangles and triangles. But imagine finding the surface area of a cylinder—a solid figure that has several curved surfaces. A cylinder is made up of two circular bases and a curved (lateral) surface in between. Develop a formula for finding the surface area of the outside of a cylinder based on what you know about the circumference of a circle and the areas of circles and rectangles. (Hint: Think about rolling a rectangular piece of paper into the shape of a cylinder.) Discuss your approach and why it works.

Answer:

the answer is 559

Step-by-step explanation:

I took the quiz

Answer: 5

Step-by-step explanation:

Let the number = x.

4x + 9x = 65

13x = 65

x = 5

Answer:

5

Step-by-step explanation:

Let n represent the number. We can use this to set up an equation:

4n+9n=65

Combine like terms:

13n=65

Divide both sides by 13

n=5

The number is 5.

The formula for mean/average is m = sum of the terms/number of the terms. Basically, you add all the numbers provided and divide it by how many of them.

So our terms are 48, 54, 51, 69, 64. We are missing the last term, which the problem needs us to find, in order to meet the requirement of the average 58 miles per days, which is m.

Let's call the last term x.

m = sum of the terms/number of the terms

58 = (48 + 54 + 51 + 69 + 64 + x)/6

We need to work backward the formula to find x.

Because (48 + 54 + 51 + 69 + 64 + x) divided by 6 gives us the m, which is 58, we will multiply 58 by 6 to give us the sum of (48 + 54 + 51 + 69 + 64 + x)

58 * 6 = 348

So 348 is the sum of 48 + 54 + 51 + 69 + 64 + x. Let make it into an equation:

48 + 54 + 51 + 69 + 64 + x = 348. Now, simplify it by adding all the values except x.

286 + x = 348. Now what is left is to take 348 minus 286, which gives us 62.

Let's check by plugging 62 as x into the mean formula.

(48 + 54 + 51 + 69 + 64 + 62)/6 = m = 58

Hope this helps!

»f(x) = 9x + 7

»f(b) = 16

»f(b) = 9b + 7

»16 = 9b + 7

»16 - 7 = 9b

»9b = 9

»b = 9/9

»b = 1✅

[tex]\\ \rm\hookrightarrow f(b)=16[/tex]

[tex]\\ \rm\hookrightarrow 9b+7=16[/tex]

[tex]\\ \rm\hookrightarrow 9b=9[/tex]

[tex]\\ \rm\hookrightarrow b=1[/tex]

Answer:

y = -5

Step-by-step explanation:

The coordinate point is in the format (x, y)

Therefore, the y-value of (4, -5) is -5

So the equation of the horizontal line is therefore y = -5

A horizontal line at point (4,-5) would need to pass through the The y value of the given point.

Answer: y = -5

Answer:

x<13

Step-by-step explanation:

you divide by -2 and it becomes 13 but you also have to flip the sign to make the answer x<13

Hello.

This is a one-step inequality, meaning that we can solve it in one step.

Divide both sides by -2:

x<13

[tex]\bigstar[/tex] If you divide both sides of an inequality by a negative number, you flop the inequality sign.

Therefore, the answer is

[tex]\Large\boxed{x < 13}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

y = (-3/2) x + 3

Step-by-step explanation:

The line passes through (0, 3) and (2, 0)

Slope = (0 - 3)/(2 - 0) = -3/2

Let y = (-3/2) x + b

Use (0, 3) to get b:

3 = (-3/2)*0 + b, so b = 3

Then y = (-3/2) x + 3

Answer:

the correct answer is option c. hope it helps. please mark me as brainliest .

Any rhombus is a parallelogram, but not the other way around. If you were to make a Venn Diagram, the "rhombus" portion is entirely inside the set of "parallelograms".

The same can be said about rectangles as well. Any rectangle is a parallelogram, but not the other way around.

If we overlapped the region of rectangles and rhombuses, then we form the region for squares. A square is a combination of a rhombus and a rectangle.

Any square has all four sides the same length (property of a rhombus) and all angles equal to 90 (property of a rectangle). Since a square inherits properties of a rectangle and rhombus, it automatically makes any square a parallelogram.

Check out the venn diagram below.

Answer:

Option D

Step-by-step explanation:

We can multiply the first one by 2 to get 8:20

4:10 × 2 = 8:20

We can divide the second one by 2 to get 8:20

16:20 ÷ 2 = 8:20

We can divide the third one by 3 to get 8:20

24:60 ÷ 3 = 8:20

We can divide the fourth one by 3.5 to get 8:20

28:70 ÷ 3.5 = 8:20

This process of dividing and multiplying was finding equivalent ratios to answer the question.

Answer:

[tex]\huge\boxed{\text{Translated left by 6 units, and down by 8}}[/tex]

Step-by-step explanation:

According to the rules f(x) --> f'(x + a) is a horizontal shift right by a factor of -a, and f(x) --> f'(x) + a is a horizontal shift up by a factor of a, you can deduce that because x becomes x + 6, and |x| becomes |x| - 8, the translations are as shown above.

Hope it helps :) and let me know if you want me to elaborate.

A translation left by 6 units and down by 8 units is performed to function f to get function g.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that f(x)=|x| is transformed to create function g(x)=|x+6|−8.

If there is a horizontal or vertical shift, reflection around the x-axis or y-axis, or vertical stretch, the transformation may be found by comparing the function to the parent function.

The parental function is,

f(x)=|x|

If the horizontal Shift to the Left is 6 units and the vertical Shift is 8 units the following function g(x)=|x+6|−8 is obtained.

Thus, a translation left by 6 units and down by 8 units is performed to function f to get function g.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Answer:

The length is 15 ft

Step-by-step explanation:

Area = length x width

135 = length x 9

135/9 = length

15 = length

The length is 15 ft

-Chetan K

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 2,3,4,5,6,7

b)4,6,7

Answer:

[cos(10x) - cos(8x)]/2

Step-by-step explanation:

sin(-x) sin(9x) = {cos[9x - (-x)] - cos(9x + (-x)]}/2

= [cos(10x) - cos(8x)]/2

Answer:

Factor the numerator and denominator

25    2

Determine the point of discontinuity if it exists.

x = -5

Determine the vertical asymptote.

x = - 3/2

Determine the horizontal asymptote.

y = 1/2

E) Graph the function

x  −8  −3   −2  −1  0   2  5  10

v x( )  11  11  9   7 5  1   5 15

Include the point of discontinuity

11

So we have the equations:

    y - 4x = 2 --- equation 1

   5y - 2x = 1 --- equation 2

(equation 2) * 2

  10y - 4x = 2 --- equation 3

(equation 2) - (equation 3)

 -9y = 0   so y= 0 and thus x = -1/2

Hope that helps!

Answer:

3888pi cm^3  or   12214.5122372 cm^3

Step-by-step explanation:

To being, let's list out what we know

The volume of a sphere is

V = 4/3(pir^3)

But this is only half of a sphere, so the volume of it should be

V =2/3(pir^3)

With the diameter of the shape being

d = 36

We will first need to find the radius to use the formula above

r = d / 2

 = 36 / 2

 = 18

Now, let's start plugging in values

V = 2/3(pi18^3)

  = 2/3 ( 5832pi)

  = 3888pi   or   12214.5122372

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

Answer:

28

Step-by-step explanation:

Rows are equal, so number of seats=N*36=1008

N-number of seats in a row

N=1008/36=28

Answer:

x = 12

Step-by-step explanation:

=> 168 / x = 14

=> x = 168 / 14

=> x = 14 x 12 / 14

=> x = 12

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(8,6)\qquad B(-2,-9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(8,6)=3(-2,-9)[/tex]

[tex](\stackrel{x}{16}~~,~~ \stackrel{y}{12})=(\stackrel{x}{-6}~~,~~ \stackrel{y}{-27})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{16-6}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12-27}}{3+2} \right)} \\\\\\ P=\left( \cfrac{10}{5}~~,~~\cfrac{-15}{5} \right)\implies P=(2~~,~~-3)[/tex]

Answer:

the first option

Step-by-step explanation:

domain is represented by the x values (or the x axis) (how far left or right)

range is represented by the y values (or the y axis) (how far up or down)

the x values for these points are x= -2, 1, 4, 5

the y values for these points are y= -4, -1, 2, 3

hope this helps!

Answer:

0.4 / 41=0.009760

It starts to repeat the same numbers

Step-by-step explanation:

One solution let's find that

[tex]\\ \rm\hookrightarrow 7x=5x-25+30[/tex]

[tex]\\ \rm\hookrightarrow 7x=5x+5[/tex]

[tex]\\ \rm\hookrightarrow 2x=5[/tex]

[tex]\\ \rm\hookrightarrow x=5/2[/tex]

Answer:

one solution

Step-by-step explanation:

[tex]7x=5x-25+30[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-25+30=5[/tex]

[tex]7x=5x+5[/tex]

[tex]\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}[/tex]

[tex]7x-5x=5x+5-5x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2x=5[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2}=\frac{5}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2.5[/tex]

~lenvy~

Answer:

1) ABCD is a rhombus

2) All sides of a rhombus are equal.

4) SSS

5) CPCTC

Answer:

sorry got it wrong on the first try. Increases by 800% is the answer

Step-by-step explanation:

put x = 3 into f(x)=6x and you get f(x) = 18

Put x = 4 into f(x) and you get f(x) = 24

Subtract those two. 24 - 18 = 6

Also, f(x) = 6x it will always be 6 away from the next x you put into the equasion.

Or better said, it will be 6 more from 6x, because you are changing the x to X+1, hence,

6(x+1) = 6x + 6.

+6, it increases.

4

Step-by-step explanation:

it half of 8 4/8 or 1/2 that how I got it