in the diagram below, <AFB = <EFD. if m<EFD = (5x+6)°, m<DFC = (19x-15)°, and m<EFC = (17x+19)°, find m<AFE​

Answer:

Part A) [tex]h=V/(\pi r^{2})[/tex]

Part B) [tex]h=4\ cm[/tex]

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

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

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

[tex]V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})[/tex]

Simplify

[tex]V/(\pi r^{2})=h[/tex]

Rewrite

[tex]h=V/(\pi r^{2})[/tex]

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

[tex]V=36\pi\ cm^3[/tex]

[tex]r=3\ cm[/tex]

substitute in the formula and solve for h

[tex]h=36\pi/(\pi 3^{2})[/tex]

[tex]h=4\ cm[/tex]

To solve for h in the formula V = πr2h, divide both sides of the equation by πr2 to isolate h. The height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm is 4 cm.

To solve the formula V = πr2h for h, we need to isolate h on one side of the equation. To do this, divide both sides of the equation by πr2. This gives us the equation h = V/(πr2). Therefore, the correct formula for solving for h is h = V/(πr2).

To find the height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm, substitute the given values into the formula h = V/(πr2). This gives us h = 36π / (π * 32). Simplifying further, h = 36 / 9 = 4 cm.

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Answer:

[tex]\large\boxed{x=-3}[/tex]

Step-by-step explanation:

[tex]-14=3x+x-2\qquad\text{add 2 to both sides}\\\\-14+2=3x+x-2+2\qquad\text{combine like terms}\\\\-12=4x\qquad\text{divide both sides by 4}\\\\\dfrac{-12}{4}=\dfrac{4x}{4}\\\\-3=x\to x=-3[/tex]

Answer:  The required length of DE is 29.

Step-by-step explanation:  We are given that DF = 42 in the figure shown.

We are to find the length of DE.

From the figure, we note that

[tex]DE=7x+1,~~EF=4x-3.[/tex]

According to the given information, we have

[tex]DF=42\\\\\Rightarrow DE+EF=42\\\\\Rightarrow 7x+1+4x-3=42\\\\\Rightarrow 11x=42+2\\\\\Rightarrow 11x=44\\\\\Rightarrow x=\dfrac{44}{11}\\\\\Rightarrow x=4.[/tex]

Therefore, we get

[tex]DE=7x+1=7\times4+1=28+1=29.[/tex]

Thus, the required length of DE is 29.

The length of DE using the measurements DF = 42, DE = 7x + 1 and EF = 4x - 3 is 29 unit.

given that,

the length of DF = 42

length of DE = 7x + 1

and, length of EF = 4x - 3

Now, from the figure

DE + EF = DF

Plugging the values back to the formula as

7x + 1 + 4x - 3= 42

Combine like terms

11x - 2 = 42

add 2 both side

11x = 42 + 2

11x = 44

Divide both side by 11

x= 44/11

x= 4

So, the length of DE is

= 7x + 1

= 28 + 1

= 29

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Answer:

x=-1

Step-by-step explanation:

-2(x+4)+8=2

1) Use the Distributive property:

-2x-8+8=2

2) Combine alike terms:

-2x=2

3) Divide both sides by -2:

x=-1

Answer:

56 or 84

Step-by-step explanation:

Answer:

It's 56

Step-by-step explanation:

Answer:

17/6

Step-by-step explanation:

Start off with

2 1/8 * 2 6/9

Convert mixed number into improper fraction

17/8

reduce fraction with 3

17/8 * 2 * 2/3

Reduce numbers with GCD 2

17/4 * 2/3

Repeat

17/2 * 1/3

Multiply fractions

17*1/2*3

You then get...

17/6!

[Alternative forms: 2 5/6, 2.83]

Answer:

x=60

Step-by-step explanation:

I'm assuming you meant this: (x/5)-8=4

In which case you would add 8 to both sides to get rid of the 8 on the left (your goal is to get x by itself so you want to move the numbers on the x side to the other side of the equal sign)

(x/5)=12

Then you would multiply 5 on both sides to get rid of the fraction with the 5 on the bottom on the left side.

x=60

There's your answer.

Answer:

Gary

Step-by-step explanation:

Edward more than Gabby

So Edward>Gabby

But Edward swam fewer laps than Noelle

So Noelle>Edward>Gabby

Gabby swam more than Gary

So Noelle>Edward>Gabby>Gary

Answer:

Less because they are negative

Step-by-step explanation:

The number-2.75 is less than the number -2.5.

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given numbers are -2.75 and -2.5.

The number -2.75 is less than the number -2.5. For the negative integers the number with a higher magnitude but having a negative sign is lesser than the number with a small magnitude with a negative sign.

Therefore, the number-2.75 is less than the number -2.5.

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Answer:

To understand something or someone completely

Step-by-step explanation:

It originates from the word enligtment

well, one way to go about it is, to do away with the denominators by using the LCD of all fractions, hmmm let's see, we have denominators of 3,5 and 15, so the LCD will just be 15.

now let's multiply both sides by the LCD of 15 to do away with the denominators,

[tex]\bf \cfrac{2}{3}+\cfrac{3n}{5}=\cfrac{13}{15}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{2}{3}+\cfrac{3n}{5} \right)=15\left( \cfrac{13}{15} \right)}\implies 10+9n=13 \\\\\\ 9n=3\implies n=\cfrac{3}{9}\implies n = \cfrac{1}{3}[/tex]

The formula for midpoint is

([tex]\frac{x_{1}+x_{2}}{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex])

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

[tex]x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown[/tex]

^^^Plug in these number into the formula given above...

([tex]\frac{3+x}{2}[/tex], [tex]\frac{-2 + y}{2}[/tex])

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ([tex]\frac{3+x}{2}[/tex]) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

[tex]\frac{3+x}{2}[/tex] = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the  y-value part of the midpoint equation([tex]\frac{-2 + y}{2}[/tex]) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

[tex]\frac{-2 + y}{2}[/tex] = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

m = -1.3

Step-by-step explanation:

subtract 3.7 from both side so it gets you 2.4-3.7 = m

then you will get -1.3

Answer:

x = -11

Step-by-step explanation:

First subtract 5x from both sides (6x - 5x) and the equation turns into: x + 3 = -8. Then subtract 3 from both sides, -8 - 3, and that equals -11. And so the final answer is -11.

The value of x from the equation 6x + 3 = 5x − 8 is -11.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given equation ; 6x + 3 = 5x − 8

Solve for x:

6x + 3 = 5x − 8

First subtract 5x from both sides

6x + 3 - 5x = − 8

x + 3 = -8

Then subtract 3 from both sides;

x = -8 - 3

x = -11

Thus, the final answer is -11.

Therefore, The value of x from the equation 6x + 3 = 5x − 8 is -11.

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Answer:

2748 days

Step-by-step explanation:

687 days * 4 revolves = 2748

2748 earth days.

Expressions included in parentheses, brackets, braces, and fraction bars should be made simpler. Analyze each power. Divide and multiply all numbers from left to right. Make sure to add and subtract all numbers from left to right. last but not least, use any method. BODMAS or PEMDAS.

Given, It takes 687 Earth days for the planet Mars to revolve around the sun once.

Earth days does it take Mars to revolve around the sun four times = 4 *687

Therefore, 2748 Earth days take Mars to revolve around the sun four times.

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Answer:

p=$100

Step-by-step explanation:

Let

y -----> annual revenue

p ----> the charge in dollars for a chair

we know that

The revenue is equal to the number of chairs multiplied by the charge for one chair

so

[tex]y=(600-3p)p[/tex]

[tex]y=600p-3p^2[/tex]

This is the equation of a vertical parabola open downward.

The vertex is a maximum

using a graphing tool

The vertex is the point (100,30,000)

That means

The maximum revenue is y=$30,000

when the carpenter charge $100 for a chair

The revenue is maximum when a fee of $100 is charged per chair.

An equation is an expression used to show the relationship between two or more variables and numbers.

Revenue is the product of the price per item and the total number of items.

Hence:

Revenue (R) = Price * number of item

R = p * 600 - 3o

R = 600p - 3p²

Maximum revenue is at R' = 0:

R' = 600 - 6p

6p = 600

p = 100

The revenue is maximum when a fee of $100 is charged per chair.

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Answer:

x-10=6x+3

Step-by-step explanation:

Okay, Is means equals. I used x as the unknown number. 10 less than a number means x-10. Squishing a variable and constant ( x and 6) together means multiplication (Constant always going before the variable) It's three more than six times the number, so it's six times the number plus three.

Hope I helped :)

Step-by-step explanation:

Given :- y intercept = ( 0 , 5 ) i.e, the line cuts y axis at 5

and , slope of the line ( m ) = 2/9

• Slope intercept form of the equation is

y = mx + c

Where , m is slope of the line

and c is y intercept !!

[tex]y = \frac{2}{9} x + 5 \\ \\ because \: c \: = 5[/tex]

Answer:

D5 is the answer im pretty sure

Step-by-step explanation:

Answer:

The answer is D (5)

Step-by-step explanation:

I just took the test and got it right

Hopefully this helps you

pls mark brainlest

Answer:

The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).

Step-by-step explanation:

The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).

If a set has 0 elements then it has 1 subset which is a null set (2^0=1)

if a set has 1 element then it has 2 subsets. One is a null set and the other one would be itself (2^1 = 1).

Like wise if a set has 5 elements then it has 32 subsets (2^5 = 32)

Lets solve an example. We have a set A and we have to find the subsets of set A.

A = {1,2,}

2^n = 2^2 = 4

It means that the number of  all the possible subsets = 4

{0},{1},{2},{1,2}....

In this exercise we have to have knowledge of sets and subsets to find the value of the unknown, like this:

[tex]2^n = 2^2=4[/tex]

So we have to remember some ideas about sets like:

[tex]2^0=1\\2^1 = 1\\2^5 = 32[/tex]

We have a set A and we have to find the subsets of set A, so that is :

[tex]A = {1,2,}\\2^n = 2^2 = 4\\A= {0},{1},{2},{1,2}....[/tex]

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In expanded form, 549,867 would be written like this: 500,000 + 40,000 + 9,000 + 800 + 60 + 7. This is how it is supposed to be.

Hope this helped!

Nate

Answer:

(5x100,000) + (4 x 10,000) + (9 x 1,000) + (8 x 100) + (6 x 10) + (7 x 1)

Step-by-step explanation:

multiply the number by the place value.

The domain of the function will be Domain: ( − ∞ , ∞ ) , { x | x  ∈  R }.

The entire range of independent variable values is the domain of a function. In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

The given quadratic function g(x) = 1 - 2x² will have a domain from negative infinity to positive infinity. The graph of the function is also attached with the answer below.

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Answer:

$5.39

Step-by-step explanation:

5 x .79 = 3.95

6 x .24 = 1.44

3.95 + 1.44 = 5.39

Answer:

For the pencils, she paid: $1.44

For the pens, she paid: $3.95

Step-by-step explanation:

Pencils cost $0.24each.

Pens cost $0.79 each.

Mrs. Trevino bought 6 pencils and 5 pens.

For the pencils, she paid: 6 × $0.24 = $1.44

For the pens, she paid: 5 × $0.79 = $3.95

Slope = (rise) / (run)

Rise = (171-93) = 78 ft

Run = 6.5 yards = 19.5 ft

Slope = (78 / 19.5)

Slope = 4

The correct figure is not included in the list of choices.

The slope is 4.

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

given:

roof rises= 171 feet above the ground

horizontal distance = 6.5 yards

using,

Slope = (rise) / (run)

Rise

= (171-93)

= 78 ft

Run

= 6.5 yards

= 19.5 ft

Slope

= (78 / 19.5)

= 4

hence, the slope is 4.

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Answer:

b=18/12

b=3/2

so practice more

Answer:

y = -3

Step-by-step explanation:

First, subtract 2y from both sides, (3y - 2y) and that should give you the equation, -3 = y. And that's your final answer.

2y-3=3y

Move 2y to the other side

Sign changes from +2y to -2y

2y-2y-3=3y-2y

-3=y

Answer: y=-3

the equation to find any slope given two points is (y1-y2)/(x1-x2)

given this equation, the slope of problem 24 would be (6-3)/(-1-4) or (3-6)/(4+1) which is equal to -3/5,

depending on which point you call (x1,y1) and (x2,y2)

calling either of the points 1 or 2 will still result in the same slope

Answer:

Step-by-step explanation:

11² = 11 · 11 = 121 < 136

12² = 12 · 12 = 144 > 136

Answer:it depends how much he is earning