what is the volume of a cylinder, in cubic with a height of 2 inches and a base diameter of 18 inches Round to the nearest place​

Answers

Answer 1

Answer:

V = 508.938 [tex]in^{3}[/tex]

Step-by-step explanation:

The equation to find the volume of a cylinder is:

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

r = radius

h = height

In the question it gives us the height (2 inches) and the diameter (18 inches).

We need to find the radius from the diameter. To do this, divide the diameter by 2:

r = 18/2 = 9

Now, plug everything into the equation and solve:

[tex]V = \pi (9)^{2} (2)[/tex]

Use a calculator to get the answer:

V = 508.938 [tex]in^{3}[/tex]

(Side note: I don't know what place to round to because in the question it says to "round to the nearest place" but doesn't say tenth, hundred, etc. If the question on your homework says tenth then the answer would be 508.9, hundredth = 508.94, thousandth = 508.938)

Hope this helps!! If you have questions please comment them under this!


Related Questions

Dalia buys a winter jacket at a used clothing store that costs $30. She lives in Idaho, where the sales tax is 6%. Write an equation that represents the total cost, c, of any item bought in Idaho whose price is p.
Dalia buys a backpack at a different store in Idaho. It is on sale for 30% off. Dalia pays $33.39 total (including sales tax). What was the original price of the backpack?

Answers

Answer:

Step-by-step explanation:

Discussion

Question One

The first question is just to derive a formula that represents the cost of anything bought in Idaho.

c = p + 6/100 * p

c = p + 0.6 * p

c = 1.06 p

Question Two

The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.

c  = (p - 30/100 p) + 6/100*(p - 30/100 * p)

c = (p - 0.3p) + 0.06* (p - 0.3p)

c = 0.7 p + 0.06*(0.7p)                          Combine the right side

c = 0.7p + 0.042p                                 Combine

c = 0.742p

33.39 = 0.742p                                        Divide by 0.742

33.39/0,742 = p                            

p = 45 dollars

The original cost was 45 dollars

How do you solve a perfect square trinomial??

Answers

Answer:

Step-by-step explanation:

Here's an example:

x^2 + 6x + 9 = 0

First factorise it:

(x + 3)(x + 3) = 0

So the solution is  x = -3 (multiplicity 2)

That is there are 2 roots both -3.

May runs 10/4 miles everyday .Beth runs 5/2 miles everyda.who runs further?

Answers

Answer:  They run the same distance

Explanation:

The fraction 5/2 turns into 10/4 when you multiply top and bottom by 2

5*2 = 10

2*2 = 4

Or you could use long division or a calculator to notice that

5/2 = 2.5

10/4 = 2.5

Both result in the same exact decimal value, so the fractions must be equal. Each person runs exactly 2.5 miles everyday.

Help please I’m stuck on these questions since I’ve been out of school for a week and is confused .

Answers

You got to play in the sand box first

Question 1 of 20
t cost Andrea $50 per day to rent a moving truck and an additional $3 for
every mile that she drove it. If Andrea spent a total of $104 after renting the
ruck for 1 day, which equation shows how many miles Andrea drove?
O A.
104
3
= 50x
OB. 50+3x = 104
OC. 3+50x= 104

Answers

The equation that shows the miles Andrea drove is $104 = $50 + $3x.

What is the equation that shows the miles Andrea drove?

The total cost of renting the moving truck is a function of the cost to rent per day and the total miles driven. The cost to rent the truck per day is the fixed cost while the cost per mile is the variable cost.

Total cost = cost to rent per day + (cost per mile x total mile driven)

$104 = $50 + $3x

To learn more about fixed cost, please check: https://brainly.com/question/25879561

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Please help!! Detailed steps please! Thank you so much
Which equation is equivalalent to 2x²-24x-14=0
A. (x-6)²=50 B. (x-3)²=13 C. (x-3)²=20 D. (x-6)²=43

Answers

Answer:

D

Step-by-step explanation:

2x²-24x-14=0

2(x²-12x-7)=0

x²-12x-7=0

Expand A, B, C, D

A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]

actually from here you can see B, C are not correct

D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)

A line remains _______ if the center of dilation is on the line

Answers

Answer:

same

Step-by-step explanation:

A line remains same if the center of dilation is on the line.

In circle O below, segment RA is a diameter, arc RP = 98 degrees, and arc RQ = 68 degrees. Find the
measure of the indicated angle m<2=

Answers

Answer:

90°.

Step-by-step explanation:

if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.

SOMEONE PLEASE HELP ME!!!
What are the x-intercepts of the graph of the function y=6tan(x/2)-3?

Answers

Step-by-step explanation:

[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]

Set y=0

[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]

[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]

[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]

[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]

Multiply both sides by 2

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]

So the x intercepts of the function is

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n

Students were asked to choose their favorite season and 6/9 chose either spring or summer. If 5/9 chose spring, what fraction chose summer?

Answers

1/9
if 5/9 out of 6/9 chose spring than the rest had to have chosen summer

The fraction of people who chose summer is 1/9.

What is a Fraction ?

Fraction is a number that represents the part of the whole.

It is given that

The fraction of people who chose either spring or summer = 6/9

This can also be represented as P( Spring ∪ Summer) = 6/9

P( Spring ∪ Summer) =  P( Spring ) + P( Summer)   ---------- (1)

It is also given that

The fraction of people who chose spring = 5/9

The fraction of people who chose summer = ?

From the equation 1

6/9 = 5/9 + P(  Summer)

P(  Summer) = 1/9

Therefore , The fraction of people who chose summer is 1/9.

To know more about Fraction

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Fifteen is three times the difference between three times a number, n, and four.


Translate into equation and solve.

Answers

Translating Words into Equations

We can translate word equations into number equations by recognizing key words as operations:

Three times = multiply by 3Difference = subtractIs = equals

Solving the Question

We're given:

Fifteen is three times the difference between three times a number, n, and four.

Divide the sentence into parts:

[Fifteen] [is] [three times the difference between three times a number, n, and four]

Translate into numbers and operations:

15 = [three times the difference between three times a number, n, and four]15 = 3 × [difference between three times a number, n, and four]15 = 3 × (3n - 4)

Isolate n:

15 = 3 × (3n - 4)

15 = 9n - 12

27 = 9n

n = 3

Answer

15 = 3 × (3n - 4)

n = 3

What is P(A, B, and C)? They are independent.

P(A) = .66

P(B) = .52

P(C) = .78

Answers

If each of A, B, and C are mutually independent, then

P(A and B and C) = P(A) P(B) P(C)

so that the probability of the three-way intersection is

P(A and B and C) = 0.66 × 0.52 × 0.78 = 0.267696 ≈ 0.27

ANSWER THE QUETIONS CORRECTLY FOR BRAINLIEST (ALGEBRA)

Answers

no then yes. vehicles over 8 years old failed more than passed

Two consecutive integers have a sum of 55. Find the integers.
0.0
Х
?

Answers

Answer:

27 and 28

Step-by-step explanation:

x+x+1=55

2x+1=55

2x=55-1

2x=54

divide each side by 2

x=27

x+1=28

check your answer adding the two integers

27+28=55

I neeed help please ??!!!

Answers

Answer: 1 3/4

Step-by-step explanation:

8 1/2 - 6 3/4

change the 1/2 to 2/4

then take away 1 from 8 and add 4 to the 2 and it gets 6

6-3=3

7-6=1


The epicenter of an earthquake is the point on Earth's surface directly above the earthquake's origin. A seismograph can be used to determine
the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake's epicenter. Find the
location of the earthquake's epicenter if it is 4 miles away from A (5,2), 3 miles away from B (-2,2), and 5 miles away from C (1, -3).

Answers

Answer:

The coordinates of the epicenter are (1,2) ie x=1, y =2

Step-by-step explanation:

We use the fact that the distance d  between 2 points, (C y₁) and (x₂, y₂) is computed by the Pythagorean formula:
(x₁ - x₂)² + (y₁ - y₂) = d²

Let the epicenter be located at (x, y)

Distance dA from point A(5,2) is known to be 4 and is given by the equation:
(x-5)² + (y - 2)² = dA² = 4² = 16 ==>

(x-5)² + (y-2)² = 16              (1)

Similarly, the distance  from point B(-2,2) is given as 3. Therefore,
(x - (-2))² + (y-2)² = 3² = 9 or
(x + 2)² + (y-2)² = 9     (2)

Distance from point C(1,-3) ==>

(x-1)² + (y-(-3))² ==> (x-1)² + (y +3)² = 25 ...(3)

(1) - (2) cancels out the y terms and gives us
(x-5)² - (x+2)² = 7   (4)

This simplifies to
x² + -10x + 25 - (x² +4x + 4)  = 7
or
x² + -10x + 25 -x² -4x -  4 = 7
-10x -4x = 7 - 21 = -14
Therefore, -14x = -14 giving us x = 1

Substituting for x = 1 in equation (3) gives us
(1-1)² + (y+3)² = 25 or
y + 3 = √25 = 5 giving y = 2


So we get the epicenter coordinates as x=1, y =2

Crosscheck in each of the equations (1), (2) and (3) for consistency
Equation 1 : (1-5)² + (2-2)² = -4² = 16           Check!

Equation 2: (1-(-2))² + (2-2)² = (1+2)² = 3² = 9  Check!

Equation 3: (1-1)² + 2-(-3))² = (2+3)² = 5²   Check!

what is the answer to this question ?

Answers

the given expression does not represent a polynomial

If f(x) = 5x, what is f-1(x)?

Answers

Answer:

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

Step-by-step explanation:

I am going to assume that by "f-1(x)" you mean [tex]f(x)^{-1}[/tex], which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.

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

<~~• ¥ Pls HELP me!! ¥ • ~~>

Pls help me figure out the 3 boxes left pls help meet

Answers

Answer:

First box - divide both by 2

Second box - subtract 8 by 6

last box - subtract x

Answer:

1. 2

2. 4

3. 20

4. 10

5. 4

6. 4

Step-by-step explanation:

I'm not sure about the last one.

hope this helps

have a good day

What is the answer to this question

Answers

Answer:

11x^2+4x-6

Step-by-step explanation:

Can't tell if its asking for the values of x, but thats the final expression^

Answer:

11[tex]x^{2}[/tex]+4x-6

Step-by-step explanation:

What is the slope of the line in this graph?

А.5/9
В.5/7
C. 7/5
D. 9/7

Answers

Answer:

5/7

Step-by-step explanation:

It goes up 5, and goes to the right 7.

List the angles of ABC in order from largest to smallest.​

Answers

Answer:

BCA

CAB

ABC

that kind of triangle is a scalene triangle, meaning there are no equal sides. if you see, B is the smallest of the sides and C is the largest, so A is in the middle.

8. A woman decides to go for a 10-minute run every day this week and plans to increase the time of her daily run by 4 minutes each week. Write a formula for the time of her run after n weeks. How long will her daily run be 8 weeks from today?

Answers

Answer:

t(n) = 4n + 1058 minutes

Step-by-step explanation:

Initial value is 10 minutes and additional time is 4 minutes per week.

This is a linear function with

y-intercept b = 10slope m = 4

The formula for the time of run after n weeks is

t(n) = 4n + 10, where t(n) - run time after n weeks

Daily run time after 8 weeks is

t(8) = 4*8 + 10 = 58 minutes

PLEASE HELP IF YOU CAN!!! 100 POINTS
Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 59. The difference between the number of Europeans and Americans is 14. If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16. Determine the number of​ Asians, Africans,​Europeans, and Americans in this village.

Answers

Answer:

Asians - 114, Africans - 28,​ Europeans - 27, Americans - 13

Step-by-step explanation:

Let

Asians - a, Africans - b,​ Europeans - c, Americans - d

Eqautions as per question

Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village.

a + b + c + d = 182

The number of Asians exceeds the number of Africans and Europeans by 59.

a = b + c + 59

The difference between the number of Europeans and Americans is 14.

c - d = 14 ⇒ c = d + 14

If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16

2b = c + d + 16 ⇒ 2b = d + 14 + d + 16 ⇒ 2b = 2d + 30 ⇒ b = d + 15

Substitute a, b and c into the first equation and solve for d

(b + c + 59) + b + c + d = 182d + 15 + d + 14 + 59 + d + 15 + d + 14 + d = 1825d + 117 = 1825d = 182 - 1175d = 65d = 65/5d = 13

Find the other variables

b = 13 + 15 = 28c = 13 + 14 = 27a = 28 + 27 + 59 = 114

We found that

Asians - 114, Africans - 28,​ Europeans - 27, Americans - 13

Rationalise the following:
(Root3-1) / (root3+1)

Answers

Answer:

[tex]2-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}[/tex]

A line passes through the points (-2, 9) and (-1, 0). What is its equation in slope-intercept form?

Answers

Answer:

y=-9x-9

Step-by-step explanation:

Just plug in your Ys and Xs in order to get y=-9x-9

PLEASE HELP NOW!!
Jada cuts out a rectangular piece of paper that measures 5x4 inches.
Han cuts out a paper sector of a circle with radius 5 inches and calculates the arclength to be 2 TT.

Answers

Answer:

Formula  for arc length  =

arc length  =  r  θ         where θ is in radians

So  we  have

2pi  =  5 θ             solve for θ  and we have that

θ  =  [ 2 pi ]  / 5

The area  of the sector   =

(1/2) r^2 θ   =   (1/2)(5^2) (2pi) / 5   =   5 pi  in^2  ≈ 15.7  in ^2

The rectangular  shape  has more area  = (5 * 4)   = 20 in ^2

Step-by-step explanation:

I don't think this will help but hope it does

|x-(-12)|; if x>-12 pls help!!!!

Answers

Answer:

because -12 is smaller than x

Step-by-step explanation:

for example some one got 14$ and lost 12$ it mean this -12 and the remaining keep it as 12$ no plus sign

36. A survey provides the data shown.
2, 5, 6, 6, 7, 7, 8, 8, 9, 11, 13
Which box plot represents the data?
T --
0
5
10
15
+→
15
5
10
+
0
5
10
15
D
--
0
5
10
15

Answers

Answer:

ad r4

Step-by-step explanation:

rfrrrrfe

What is the solution to the equation 7/8 (X -1/2) =49/80

Answers

Answer:

the answer of given question is 1/5

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