A rectangular sheet of metal is 66cm x 12cm and rolled into a cylinder with height 12cm
Find the volume.

Answers

Answer 1

Answer:

4158cm cubed. Hope this helped!


Related Questions

The table represents the function f(x).

A 2-column table with 7 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 66, negative 29, negative 10, negative 3, negative 1, 6.

When f(x) = –3, what is x?

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:x is -1

Step-by-step explanation:

What is 35.43 rounded to the nearest hundredth’s

Answers

Answer:

it already is rounded up to the nearest hundredth

Step-by-step explanation:

It’s already around to the nearest hundredth’s

A man walks 4km from point x due east of point Y. The bearing of a flag point x and y are due N80°W and N40°E respectively. Find the distance of the flag pole from point y

Answers

The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Sine rule shows the relationship between the sides and angles of a triangle.

The triangle formed has angles A = 10°, B = 50°, C = 120°, c = 4 km, a = distance from point y.

Hence:

a / sinA = c / sinC

a / sin(10) = 4 / sin(120)

a = 0.8 km

The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E

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What is the constant in the expression?

Answers

Answer:

12

Step-by-step explanation:

A constant in an expression is the number that is not attached to any variable, and this includes the sign that comes with the number.

0.05m +12

In the expression above, m is the variable thus 0.05 is known as the coefficient of m instead of a constant. Coefficients are numbers that are multiplied to variables.

+12, which can simply be written as 12, is not multiplied to any variable and is thus the constant.

The value of the number 12 will not change no matter the value of m. The fact that the value stays the same makes it a constant.

Additional:

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Answer: 12 ✅

Step-by-step explanation:

Hii, I'd love to help you! (:

This problem is about finding the constant in the expression. This is fun! Let's start our search...

____________________________________________

Wait, how can we find a constant if we don't even know what it is?

No reason to panic!

Constants

A constant is a number that is not added (or subtracted) from any variables (and a variable is a letter).

_____________________________________________

Ohh now it's easy as winking!

Because the only number in this particular expression that is not added to any letters at all is 12.

______________________________________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

A line passes through the points (6, 8) and (5, 5). What is its equation in slope-intercept form?

Answers

Answer:

b6,4

Step-by-step explanation:

becust tehf sdj

A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?

Answers

Answer:

$2,753.79

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $2,000r = 3.25% = 0.0325n = 1t = 10

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}[/tex]

[tex]\implies \sf A=2000(1.0325)^{10}[/tex]

[tex]\implies \sf A=2753.788608...[/tex]

Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.

What is the value of x and y?

Answers

Answer:

[tex]\fbox {x = 6 and y = 12}[/tex]

Step-by-step explanation:

Taking the tan and cos values to find x and y :

tan 60° = √3 = 6√3/x⇒ x = 6cos 30° = √3/2 = 6√3/y⇒ y = 12

Answer:

x = 6 and y = 12

Step-by-step explanation:

30-60-90 Triangle Theorem

A special right-angled triangle where:

Angles are in the ratio 1 : 2 : 3Sides are in the ratio 1 : √3 : 2  

Therefore, the formula for the sides is  b : b√3 : 2b where:

b = shortest side opposite the 30° angleb√3 = side opposite the 60° angle2b = longest side (hypotenuse) is opposite the right angle

The given triangle is a 30-60-90 triangle, therefore the ratio of its sides is  b : b√3 : 2b

We have been given the measure of the side opposite the 60° angle.

⇒ b√3 = 6√3

So b = 6

Therefore, substituting the found value of b into the formula, the sides are in the ratio:  6 : 6√3 : 12

⇒ x = 6  (shortest side)

⇒ y = 12  (longest sides)

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Evaluate 5x³ + 2 for x = -1.
0 -3
04
06
0-7

Answers

Answer:

-3

Step-by-step explanation:

5x³ + 2 , when x = -1

5(-1)³ + 2

= -5 + 2

= -3

Answer:

-3

(first option listed)

Step-by-step explanation:

we know that 5x³ + 2 is our expression

we want to "evaluate" (find/solve for) when x = -1

we can do this by plugging in -1 to the expression:

5x³ + 2          {note, x = -1}

5(-1)³ + 2    {-1³ = -1}

5(-1) + 2

(-5) + 2

-5 + 2 = - 3

so, when x = -1, the statement is equivalent to -3

hope this helps! :)

What is the value of the expression (-5)-³?
1. Apply the negative exponents rule:
2. Expand the power:
3. Simplify:
What is the value of x?
X=
1
(-5)³
1
(-5)(-5)(-5)
XII

Answers

Answer:

-125 is the correct answer

Answer:

x = -125

Explanation:

[tex]\Longrightarrow \dfrac{1}{x} = (-5)^{-3}[/tex]

Apply the negative exponent rule: a⁻ᵇ = 1/aᵇ

[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)^3}[/tex]

Expand the power:

[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)\left(-5\right)\left(-5\right)}[/tex]

Simplify the following:

[tex]\Longrightarrow \dfrac{1}{x} =- \dfrac{1}{\left125}[/tex]

Flip the following:

[tex]\Longrightarrow x = -125[/tex]

Pls help will give brainliest!

Answers

Answer: y=1x + 1

i used the coordinates (-1,0) and (3,4) to find the slope 4/4 or 1.
plugged in M and B using the coordinates and got
4=1•3+b
4=3+b
-3 -3
1=b
y=1x+1

hope this makes sense!!

What is the slope-intercept equation of the line below?

Answers

Answer:

y= 2x - 3

Step-by-step explanation:

To calculate the slope (or gradient) of a line, take two points on the line whose x and y values are easy to read. Then divide the difference of they y-coordinate values by the difference of their x-coordinate values.

Here I have taken the points p (3, 3) and q (1, -1) to calculate the slope.

• slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1}}[/tex]

         = [tex]\frac{3 - (-1)}{3 - 1}[/tex]

         = [tex]\frac{4}{2}[/tex]

         = 2  

The intercept is the y-coordinate value of the point at which the line crosses ("intercepts") the y-axis. I've marked the intercept point with a green line.

• intercept = -3

The slope-intercept equation of a line takes the form:

y = mx + c

where 'm' is the slope and 'c' is the y-intercept.

Substituting the values we found into the equation gives us:

y = 2x + (-3)

y = 2x - 3

What should you do before creating a research question for a presentation? Check all that apply. create an outline to organize my ideas pick the right font for any text that is included review the topic and what the prompt asks for think of an argument or an opinion if necessary consider what I know and what I need to know choose visuals to include with the presentation

Answers

The things that are to be done before creating a research question for a presentation are: option C, D, and E.

What is a research question?

A research question can be defined as an issue, event or subject of inquiry that a researcher is keenly and deeply interested to provide a response or an answer to, when conducting a research.

Basically, the things that are to be done before creating a research question for a presentation are:

Review the research topic and what the prompt asks for.Think of an argument or an opinion if necessary.Consider what I know and what I need to know.

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Answer:

C, D, E

Step-by-step explanation:

what is the x intercept of the function​

Answers

Step-by-step explanation:

0 = sqrt(x - 4) + 3 Set equation equal to 0

-3 = sqrt(x - 4). Subtract 3 from both sides

the principle square root will only output positive values, since if it every outputted a negative value it would not be a function since a function cannot have 2 outputs for the same input.

no x-intercept

Peter's garden is in the shape of a rectangle whose width is 15 inches and length is twice the width. Find the area of the garden.​

Answers

Answer:

450 in^2

Step-by-step explanation:

Width = 15       Length is twice as much = 30 in

Area = L * W   = 15 * 30 = 450 in^2

If $a$ and $b$ are positive integers for which $ab - 6a + 5b = 373$, what is the minimal possible value of $|a - b|$?

Answers

Answer:

  31

Step-by-step explanation:

We can solve the given equation for 'b', then find the integer values of 'a' that make 'b' a positive integer. There are 3 such values. One of these minimizes the objective function.

__

solve for b

  ab +5b = 373 +6a . . . . . . isolate b terms by adding 6a

  b = (6a +373)/(a +5) . . . . . divide by the coefficient of b

  b = 6 +343/(a +5) . . . . . . . find quotient and remainder

integer solutions

The value of 'b' will only be an integer when (a+5) is a factor of 343. The divisors of 343 = 7³ are {1, 7, 49, 343}. so these are the possible values of a+5. Since a > 0, we must eliminate a+5=1. That leaves ...

  a = {7, 49, 343} -5 = {2, 44, 338}.

Possible values of b are ...

  b = 6 +343/{7, 49, 343} = 6 +{49, 7, 1} = {55, 13, 7}

Then possible (a, b) pairs are ...

  (a, b) = {(2, 55), (44, 13), (338, 7)}

objective function

The values of the objective function for these pairs are ...

  |a -b| = |2 -55| = 53

 |a -b| = |44 -13| = 31 . . . . . the minimum value of the objective function

  |a -b| = |338 -7| = 331

The radius of the ring is 0.25 cm. Find the circumference of the ring.​

Answers

Answer: circumference 1.5714

Answer:

Circumference formula: 2πr

2π(0.25) = 0.5π or 1.57

What is the solution to this rational equation? 24/x-8=4

Answers

Answer:

X = 14

24/x-8 = 4

Multiplying both the sides with x-8

24 = (x-8)*4

24 = 4x - 32

24 + 32 = 4x

56 = 4x

56/4 = X

14= X

The largest pyramid at Giza is a square pyramid. It has a base of 756 feet and a slant height of 612 feet. Which represents the two-dimensional net of this pyramid?

Answers

The two-dimensional net of this pyramid that is surface area will be 34,416 square feet.

What is the surface area of the pyramid?

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

The surface area of the pyramid will be

SA = 2(1/2 × B × K) + 2(1/2 × L × K) + (L × B)

The largest pyramid at Giza is a square pyramid. It has a base of 756 feet and a slant height of 612 feet.

We have

L = W = 27.5 feet

Then the two-dimensional net of this pyramid that is surface area will be

SA = 2(1/2 × B × K) + 2(1/2 × L × K) + (L × B)

SA = 4(1/2 × 27.5 × 612) + 756

SA = 33,660 + 756

SA = 34,416 square feet

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What is the length of the missing side of this triangle?


A
2

B
10

C
50

D
100



the top is 26 bottom is 24 left side is the missing side

Answers

Answer:

The answer is B=10 and the top is called hypothenus

Answer:

x = 10

Step-by-step explanation:

The given is a right triangle, in right triangles the sum of square value of two legs (base and height) is equal to square value of hypotenuse.

Now, know the value of base and hypotenuse are 24  and 26

let x represent the missing side:

26^2 = x^2 + 24^2

676 = x^2 + 576 subtract 576 from both sides

100 = x^2 find the root of both sides

10 = x this is the length of the missing side

An equation that defines y as a function of x is given. a. solve for y in terms of x and
replace y with the function notation f(x) . b. find f(3).

6x-3y=2

Answers

Answer:

f(x) = 2x -2/3f(3) = 5 1/3

Step-by-step explanation:

We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.

__

a.

We are given the equation ...

  6x -3y = 2

Solving for y, we get ...

  6x -2 = 3y . . . . . add 3y-2 to both sides

  2x -2/3 = y . . . . . divide by 3

  f(x) = 2x -2/3 . . . . write using functional notation

__

b.

To find f(3), we use x=3 in the function.

  f(3) = 2(3) -2/3 = 6 -2/3

  f(3) = 5 1/3

Which measurement statement is correct?

Answers

Answer:

there are 2 cups in a pint is correct.

Step-by-step explanation:

Explain how to find the average rage of change for a function over a given interval.

Answers

The average rate of change for a function over an interval is the slope

How to explain the steps?

Take for instance, we have the function to be

Function f(x)

And the interval is (a,b)

The average rate of change for the function over the interval is

Rate = (f(b) - f(a))/(b - a)

The above represents the slope

Take for instance, we have:

f(x) = x^2 [2, 4]

We have:

f(2) = 2^2 = 4

f(4) = 4^2 = 16

So, we have:

Rate = (16 - 4)/(4 - 2)

Rate = 6

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Points Z, L, and S are:

Answers

Points Z, L, and S are collinear points

How to determine the relationship?

When 2 or more points are on a line, the points are said to be collinear.

From the figure, we have:

Points Z, L and S on the same line

This means that they are collinear points

Hence, points Z, L, and S are collinear points

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help me please number 8

Answers

Answer:

13

Step-by-step explanation:

square root of 12^2 + 5^2

Find the equation of the line through point (8,−9) ( 8 , − 9 ) and perpendicular to 3+8=4 3 x + 8 y = 4 .

Answers

The equation of the line will be 3y + 8x = 165.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.

The given equation of the line is:-

3 x + 8 y = 4.

The slope of this line will be:-

3 x + 8 y = 4.

8y = -3x + 4

y = -3 /8x + ( 1 / 2)

y = mx + c

m = -3 / 8

Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.

So the slope of the line will be -8 / 3

The equation of the line passing through the point will be given as:-

y - y 1 = m ( x- x1)

y - (-9) = ( -8 / 3) ( x - 8)

Y + 9 = ( -8 / 3 ) ( x -8 )

3 y = -8x + 165

3y + 8x = 165

Therefore the equation of the line will be 3y + 8x = 165.

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3x[tex]3x^{2} +8x-10[/tex]

Answers

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

Solving quadratic equations.

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

3x² + 8x - 10

Using the quadratic formula:

[tex]\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

where:

a = 3b = + 8c = - 10

[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}[/tex]

[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}[/tex]

[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}[/tex]

x = 0.927 or -3.594

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Here are the first five terms of a number sequence .

10 16 22 28 34

The nth term of a sequence T is given by n squared-3

There are numbers that are terms in both the sequence S and the sequence T.

Find one of these numbers.

Answers

Answer:

t=4+6n

Step-by-step explanation:

a = 10

d=6

in general

tn = a + (n-1)*d

tn = 10 + (n-1)*6

tn = 10 + 6n - 6

tn = 4 + 6n

So if n = 5 then

t5= 4+6*5

t5= 4 + 30

t5 = 34 which agrees with your givens.

The cost of the fruit is given by the function y = 3x + 1, where x is the number of fruits and y is the total cost. Find the range of the function.

Answers

The range of the given function will lie from ( -0.333,0) to ( 0,1).

What is the range?

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given that:-

The cost of the fruit is given by the function y = 3x + 1, where x is the number of fruits and y is the total cost.

When we plot the graph of the function we will see that the straight line will cut the x-axis at point (-0.333 ) and the y-axis cut at ( 0,1 ) the points between the two points will be the solutions of the equation.

Therefore range of the given function will lie from ( -0.333,0) to ( 0,1).

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Answer:i think the answer is B

Step-by-step explanation:

is n÷12=36,n=108 true or false​

Answers

Answer:

False

Step-by-step explanation:

n÷12=36

n=36*12

hence n=432

hope it helps you and give me a brainliest

Answer:

(redacted answer - it was wrong - moderator please delete)

false

f(x)=√x - 8. Find f¹(x) and its domain.
A. f¹(x) = x² +8; x≥ −8
-1
OB. f¹(x) = x² +8; x20
O c. f¹(x) = (x + 8)²; x≥ −8
O D. f-¹ (x) = (x+8)²; x≥0

Answers

The inverse function is [tex]f^{-1} = (x + 8)^2[/tex], and the domain is the set of all real numbers equal to or larger than -8. So the correct option is C.

How to find the inverse function?

Remember that two functions are inverses if and only if:

[tex]f( f^{-1}(x)) = x\\f^{-1}(f(x)) = x[/tex]

Here we have:

[tex]f(x) = \sqrt{x} - 8[/tex]

Then we want to have:

[tex]f(f^{-1}(x)) = \sqrt{f^{-1}(x)} - 8 = x[/tex]

Solving that for the inverse function, we get:

[tex]f^{-1} = (x + 8)^2[/tex]

Now, how to get the domain. The domain of the inverse function is equal to the range of the original function.

[tex]f(x) = \sqrt{x} - 8[/tex]

The range of f(x) is the set of all real numbers larger or equal than -8 (because the smallest value that x can take is 0).

Then the domain of the inverse function is the set of all real numbers equal to or larger than -8.

The correct option is C.

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