A rectangle with area 12 square units is dilated by a
scale factor of k.
Find the area of the image for each given value of k.
K=1/4

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Height of Cylinder is 16 feet and the Diameter is given as 22 feet . And, we have been asked to calculate the Volume of Cylinder .

For calculating the Volume , first we need to find Radius of Cylinder .

Here, we will find the Radius :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Radius \: = \: \dfrac{Diameter}{2} \: }} [/tex]

[tex] \longmapsto \: \: \sf { Radius \: = \: \dfrac{ \: 22 \: }{2} \: } [/tex]

[tex] \longmapsto \: \: \bf { Radius \: = \: 11 \: Feet } [/tex]

Now, we will find Volume of Cylinder :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: ({11})^{2} \: \times \: 16 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 121 \: \times \: 16 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 1936 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22 \: \times \: 1936}{7}} \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{ \: 42592 \:}{7}} \\ [/tex]

[tex] \longmapsto \: \: \bf {Volume \: _{Cylinder} \: = \: 6084.5 \: Feet^{3}} [/tex]

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Formula Used :-

[tex] \Longrightarrow \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]

Where ,

The volume of the given cylinder.

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {11}^{2} \times 16[/tex]

[tex]v = 6082.12338 \: {ft}^{3} [/tex]

[tex]v = 6082.12 \: {ft}^{3} (2 \: dp)[/tex]

Therefore, the volume of the given cylinder is 6082.12 cubic feets.

Answer:

x = 45

(2x-10) = 80

x+10 = 55

Step-by-step explanation:

so, make an equation to find x:

x+2x-10+x+10 = 180

collect like terms

4x = 180 (divide both sides by 4)

x = 45

sub into the formulas:

x- 10 = 45+10 = 55

2 × 45 - 10 = 80

add them together to see if it is correct:

45 + 55 + 80 = 180

Answer:

Step-by-step explanation:

Perimeter of a square = 4 * Length of the square

Given

Length of a square = 4y + 7

Perimeter of the square = 4(4y+7)

Open the parenthesis

Perimeter of the square = 4(4y)+4(7)

Perimeter of the square = 16y + 28

Hence the perimeter of the square is 16y+28

Answer:

3/4

Step-by-step explanation:

The smallest number that makes 9 is three the smallest number that makes 12 is 4 because it cant go below 3

Answer:

3/4

Step-by-step explanation:

Both numbers can be divided by three.

9 divided by 3 is 3 and since the 9 was the numerator the three becomes your new numerator.

12 divided by 3 is 4 and since 12 was the denominator the four becomes your new denominator.

Hope this helps! Good Luck!

Answer:

a = 2 , b = - 7 , c = - 8

Step-by-step explanation:

expand and simplify the left side then compare the coefficients of like terms on both sides.

(2x + 3)(x - 5) + 7 ← expand factors using FOIL

= 2x² - 10x + 3x - 15 + 7 ← collect like terms

= 2x² - 7x - 8

compare to ax² + bx + c , then

a = 2, b = - 7 , c = - 8

Answer:

A. This is a functional relationship

Step-by-step explanation:

y=8x−5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 8

y-intercept: (0,−5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

x | Y

0 | -5

5/8 | 0

Graph...

On the graph, you can see each x value corresponds with only one y value.

Answer:

Step-by-step explanation:

156 minutes

2 hours 36 minutes is how long it take Gwen!

Answer:

18

Step-by-step explanation:

To find volume you have to use the formula (length x width x height.)

So by looking at it you can see that it's 3 units long, 3 units in wide, and 2 units tall. Knowing that, you then plug in those numbers to the formula. That would be 3x3x2. Any calculator will work.

Answer:

-22

Step-by-step explanation:

h(5)=-5•5+3

h(5)=-25+3

h(5)=-22

Answer:

-22

Step-by-step explanation:

Replace x with 5 and multiply tge -5 by 5 wich equals -25 and add 3 which would make -22

Answer:

D) 1

Step-by-step explanation:

took on edge

Answer:

D-1

Step-by-step explanation:

Ed2021

Answer:

$9 per visit

Step-by-step explanation:

set up equation

variable x = dollers per visit

8x = 72

goal is to isolate the variable

divide both sides by 8 to do so

8x ÷ 8 = 72 ÷ 8

1x = 9

x = 9

Answer:

8000

Step-by-step explanation:

I'm not sure of it

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The pair having like terms is ' A '

It has both terms of x, I.e 20x and 0.8x

Answer:

Now, let x equal the number:

10 times the number is 10x.

Sum of 10 times the number and 15, means sum of 10 times the number plus 15, which is 10x + 15.

Eleven times the same number, means 11 times x, which is 11x.

Sum of 10 times a number and fifteen is added to eleven times the same number is therefore: 10x + 15 + 11x = 21x + 15

Step-by-step explanation:

To save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.

An emergency fund is a safety net used specifically to cover basic living expenses for at least 6 months in case future mishaps or unexpected expenses arise.

Financial experts generally recommend six months of basic living (fixed) expenses to put away in an emergency fund.

The amount to save in the emergency fund = $3,753.79 ($2,085.44 x 30% x 6)

50% of discretionary monies = $729.90 ($2,085.44 x 1 - 30%) x 50%

Months to save $3,753.79 saving $729.90 = 5 months ($3,753.79/$729.90)

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund.

How many months will it take to fully fund it, excluding interest accrual?

Thus, o save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.

Learn more about discretionary expenses and emergency funds at https://brainly.com/question/422550

Answer:

To calculate this, we first need to find the amount of discretionary money left after paying fixed expenses:

Discretionary money = Realized income - (Fixed expenses as a percentage of realized income)

Discretionary money = $2,085.44 - (30% x $2,085.44)

Discretionary money = $2,085.44 - $625.63

Discretionary money = $1,459.81

We want to put 50% of this toward the emergency fund each month, so:

Emergency fund contribution per month = 50% x $1,459.81

Emergency fund contribution per month = $729.91

To find out how many months it will take to fully fund the emergency fund, we divide the total amount needed by the monthly contribution:

Number of months = (Total amount needed) / (Emergency fund contribution per month)

Number of months = $18,292.65 / $729.91

Number of months = 25.06

Rounded up to the nearest whole month, it will take 26 months to fully fund the emergency fund.

Therefore, the answer is:

26 months

Answer:

5.5

Step-by-step explanation:

Answer: 5 1/2

Step-by-step explanation:

uhh just multiply using the exact value

Answer:

5

Step-by-step explanation:

1. Multiply it seperatly, 8 x 5 and 10 x 5

2. Put it back into it's fraction form, 40/50

3. there you go! The answer is "Multiplying the numerator and denominator of 8/10 by 5 creates the equivalent fraction 40/50."

These are just some

equivalent fractions of 40/50:

4/5 = 8/10 = 12/15 = 16/20

20/25 = 24/30 = 28/35 = 32/40

Answer: x = 5

Step-by-step explanation:

We can set up an equation to solve for x:

3x  + 4 = 19

We can subtract 4 from both sides:

3x = 15

We can divide both sides by 3:

x = 5

Answer:

you got to multipply those numbers

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The answer is 6.

Step-by-step explanation:

5x6=30, and 8x6=48. Hope this helps!

Answer: C

Step-by-step explanation:

-1/3x-4/3y=2

1/3x-2/3y=4

First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition

Adding the two equations together gets

-6/3y=6

Simplify

-2y=6

y=-3

Substitute back into original equation

1/3x-2/3(-3)=4

1/3x+2=4

1/3x=2

x=6

Answer

x=6, y=-3

Check answer

-1/3(6)-4/3(-3) =?= 2

                -2+4=2

                     2=2

Done!

Answer: 224 ounces are in 14 pounds

Step-by-step explanation:

1 pound = 16 ounces

*14            *14

14 pounds = 224 ounces

Answer:

[tex]solve for x\\\\x=\frac{5}{11}[/tex]

[tex]factor\\(x-5)x(x-7)[/tex]

Step-by-step explanation:

[tex]solve for x\\15=\frac{5}{x}+4\\ -\frac{5}{x}=4-15\\-\frac{5}{x} =-11\\\frac{11x}{11} =\frac{5}{11} \\x=\frac{5}{11}[/tex]  

[tex]factor\\x^{2} -12x+35\\x^{2} -5x-7x+35\\x(x-5)-7(5-x) \\ (x-5)*(x-7)[/tex]

If Samantha is 80cm tall and Nora's height is 4cm less twice the height of Samantha then Nora is 156 cm tall

Algebraic expression is made up of variables and constants, along with algebraic operations such as addition and subtraction.

Samantha is 80 cm tall.

Nora's height  is 4cm less twice the height of Samantha. Therefore, Nora's height is represented as follows;

Nora's height = 160 - 4

Nora's height = 156 cm

learn more on algebraic expression here: https://brainly.com/question/953809

Answer:

3 4/33

Step-by-step explanation:

Answer:

If you  look it up it should be there

Step-by-step explanation:

google :\

age

Step-by-step explanation:

it's countable because we can't count eye colour