a cylindrical vase is filled with soil.if the height of the vase is 6 centimeters and the vase is 471 cubic centimeters, what is the diameter of the vase?

Answers

Answer 1

[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=6\\ V=471 \end{cases}\implies 471=\pi r^2(6)\implies \cfrac{471}{6\pi }=r^2 \\\\\\ \sqrt{\cfrac{471}{6\pi }}=r\implies \stackrel{diameter = 2\times radius}{d=2\left( \sqrt{\cfrac{471}{6\pi }} \right)}\implies d\approx 9.997[/tex]


Related Questions

What is the solution

Answers

Answer:

Step-by-step explanation:

George has a box of chocolates. There are 12 pieces of chocolate with nuts and 20 pieces of chocolate without nuts in the box. What is the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts?
A.
15:1
B.
1:15
C.
3:5
D.
5:3

Answers

Answer:

Step-by-step explanation:

Good evening ,

________________

the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts:

20:12 = (20:4) : (12:4) = 5:3.

Then the correct answer is D.

____________________________

:)

To find the ratio of chocolates without nuts to chocolates with nuts, divide the quantities of each. With 20 chocolates without nuts and 12 with nuts, the simplified ratio is 5:3, corresponding to answer D.

The question asks us to find the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts. George has 12 pieces of chocolate with nuts and 20 pieces of chocolate without nuts.

To determine the ratio, we divide the number of chocolates without nuts by the number of chocolates with nuts:

Ratio = Number of chocolates without nuts / Number of chocolates with nutsRatio = 20 / 12Ratio = 5 / 3 (after simplifying)

Therefore, the correct answer is D. 5:3. This is the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts.

a six sided die is tossed. Determine the odds against rolling a 2.

Answers

5:1, 5/6, or 84%(rounded).

There is one chance of rolling a 2 and since it is against rolling a 2, you have a 5 other numbers you could get.

What is 4x4x8 in volume

Answers

Answer:

128

Step-by-step explanation:

Do the multiplication:

4 * 4 * 8 = 128

128! That would be the correct answer!!!

Find the surface area of the right square pyramid. Round your answer to the nearest hundredth. A 117.66 yd^2 B. 123.21 yd^2 C. 145.75 yd^2 D. 182.04 yd ^2

Answers

Answer: OPTION C

Step-by-step explanation:

Use the following formula:

[tex]SA=\frac{pl}{2}+B[/tex]

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

The perimeter is:

[tex]p=4*s=4*5.3yd=21.2yd[/tex]

Where s is the side lenght

The slant height is given:

[tex]l=11.1yd[/tex]

The area of the base is:

[tex]B=s^2=(5.3yd)^2=28.09yd^2[/tex]

Where s is the side lenght

Substitute values. Then, the result is:

[tex]SA=\frac{(21.2yd)(11.1yd)}{2}+28.09yd^2)=145.75yd^2[/tex]

Answer:

The correct answer option is C. 145.75 yd^2.

Step-by-step explanation:

We are given a diagram of a right square pyramid with a slant height 11.1 yd, and base edge length 5.3 yd.

We know that the surface area of a right square pyramid is given by:

[tex]\frac{PI}{2} +B[/tex]

where P = perimeter of the base, I = slant height and B = base area.

Perimeter of base = [tex]4 \times 5.3[/tex] = 21.2 yd^2

Base Area = [tex]5.3^3[/tex] = 28.09 yd^2

Surface area of right square pyramid = [tex]\frac{21.2 \times 11.1 }{2} + 28.09[/tex] = 145.75 yd^2

Factor x^2y–y+xy^2. I NEED THIS ASAP

Answers

Answer:

[tex]x^{2}y -y+xy^{2}\\y(x^{2}-1+xy)\\[/tex]

Step-by-step explanation:

take out the y

9(6-2v)=-12(v-11) What is the value of v

Answers

answer: v = -13

step by step explanation:

Answer:

v = - 13

Step-by-step explanation:

Distribute parenthesis on both sides of the equation

54 - 18v = - 12v + 132 ( add 12v to both sides )

54 - 6v = 132 ( subtract 54 from both sides )

- 6v = 78 ( divide both sides by - 6 )

v = - 13

Will mark BRAINLIEST!!!

Answers

Answer should be C

hope this helped you.

Answer:

[tex]8a^3b^3c^4(\sqrt[3]{bc} )[/tex]  C. should be your answer

Step-by-step explanation:


Solve the problem below.



57°

123°

114°

66°

Answers

Answer:

66

Step-by-step explanation:

The supports of a wooden table are in the shape of a triangle. Find the angles are in the ratio 4x : 4x : 10x

Answers

Answer:

1)  40°

2) 40°

3) 100°  

Step-by-step explanation:

The sum of angels of a triangle is: 180°

The ratio of angles are: 4x,4x,10x

The sum of ratios: 4x + 4x + 10x

=> 18x

Therefore,

=> 18x = 180

=> x = 180/18

=> x = 10

So, required angels are:

4(x) = 4(10) = 40°4(x) = 4(10) = 40°10(x) = 10(10) = 100°

The angles of the triangular supports of the wooden table are 40 degrees, 40 degrees, and 100 degrees.

The sum of the angles in any triangle is 180 degrees. Given that the angles are in the ratio 4x : 4x : 10x, we can find the value of x by setting up the equation:

4x + 4x + 10x = 180

Combining like terms, we get:

18x = 180

To find the value of x, we divide both sides of the equation by 18:

x = 180 / 18

x = 10

Now that we have the value of x, we can find the measures of the three angles:

First angle = 4x = 4 * 10 = 40 degrees

Second angle = 4x = 4 * 10 = 40 degrees

Third angle = 10x = 10 * 10 = 100 degrees

 The answer is: [tex]40^\circ, 40^\circ, 100^\circ.[/tex]

HELP PLEASEEE PLEASEEEEEEE HELP ME!

Answers

Answer:

A. 3 Inches

Step-by-step explanation:

To find the radius of the circle, we need to use the Pythagorean Theorem.

a²+b²=c²

a = r inches

b = AD or 4 inches

Now to get the value of c, we need to consider the measurement of the line AD. The sum of line AD and line DC will be the value of the hypotenuse.

c = r + 2 inches

Now that we have our variables, let's plug them in.

a² + b² = c²

r²+ 4² = (r + 2)²

Now we need to use the FOIL method for r + 2.

r² + 16 = (r + 2)(r + 2)

r² + 16= r² + 2r + 2r + 4

r² + 16 = r² + 4r + 4

Now we can remove r² by subtracting both sides by r², leaving us with:

16 = 4r + 4

Now we subtract 4 from both sides.

4r = 12

Now we divide both sides by 4.

r = 3 inches

Answer:

A. 3 inches

Step-by-step explanation:

Triangle ABC is a right angled triangle

Therefore;

Using the Pythagoras theorem then;

AB² + BC² = AC²

but BC = CD = radius

Hence;

4² + r² = (r+2)²

16 + r² = r² + 4r +4

 16 - 4 = 4r

    12 = 4r

   r = 3

Therefore; the radius of the circle is 3 inches

add 5 to p then divide 7 by the result

Answers

Answer:

p should equal -4

Step-by-step explanation:

A triangle with measures of x∘, 2x∘, and 2x∘ is a(n) triangle.

Answers

X+2x+2x=180

5x=180

X=36

2x=72

2x=72

For each value of Y, determine whether it is a solution to 15Greater than or equal to Y

Answers

Answer:

16,21,15

Step-by-step explanation:

The solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15

Inequality expressions are expressions separated by an unequal sign

Given the inequality expression 15 ≤ y

On swapping sides, the inequality sign will change to have y ≥ 15

Based on the table, we need to select yes for values that are greater than or equal to 15 and select no if otherwise

Based on the given value, the solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15

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a sphere has a volume of 36 (3.14) cm cube. what is the diameter of the sphere

Answers

Answer:

Diameter = 6 cm

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:

[tex]\dfrac{4}{3}\pi R^3=36\pi[/tex]      divide both sides by π

[tex]\dfrac{4}{3}R^3=36[/tex]           multiply both sides by 3

[tex]4R^3=108[/tex]            divide both sides by 4

[tex]R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm[/tex]

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm

Find the surface area of this triangular prism

Answers

Answer:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

this will show u i searched it and wrote half in my words

Answer:

315 in^2

Step-by-step explanation:

Triangles

Area of the two triangular faces.

Area = 1/2 * h * b

h = 7 in

b = 11 in

Area = 1/2 * 7 * 11

Area = 1/2 * 77

Area = 38.5

But there are 2 faces

Area = 38.5 * 2

Area = 77 in^2

Area Left Face

Area left face = height * width

Area left face = 14 * 8

Area left face = 112 in^2

Area Right face

Area Right face = w*h

w = 9

h = 14

Area = w*h

Area right face = 126 in^2

Total Area

Total Area = 126 + 112 + 77

Total Area = 315 in^2

A member of a book club wishes to purchase two books from a selection of eight books recommended for a certain month. In how many ways can she choose them?

Answers

Answer:

She can chose 2 books from 8 books in 28 different way.

Step-by-step explanation:

In the given scenario the member has to chose 2 books from a group of 8 books. The order of choosing books does not matter. For example if the books are A,B,C,D,E,F,G and H, and the member picks books A and B or books B and A, she is picking up the same books. This means order of selection does not matter here, so this is a problem of combinations.

We have to form combination of 8 books taken 2 at a time i.e. 8C2

The general formula of combination is:

[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]

Using the values of n=8 and r=2, we get:

[tex]8C2=\frac{8!}{2!(8-2)!}=28[/tex]

This means, she can chose 2 books from 8 books in 28 different ways.

Answer:

28 was right on acellus

Step-by-step explanation:

Multiply each of the following numbers 7.32, and 0.006 by 10, 100, and 1,000. Then explain the pattern you can use to find the products. *

Your answer

Answers

7.32

10 = 73.2

100 = 732

1000 = 7320

0.006

10 = 0.06

100 = 0.6

1000 = 6

The decimal place moves to the right depending on how many zeros the number has.

For example, if you had 0.6 multiplied by 100, you would move 2 decimal places to the right because 100 has two zeros.

sound travels in waves. in dry air at 20 Celsius ,sound travels about 343 meters in one second. how many meters will ,sound travels in 7 seconds?​

Answers

it will travel 343m•7. this is 2401 meters.

The distance of the sound in 7 seconds will be 2401 meters.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that sound travels in waves. in dry air at 20 Celsius, sound travels about 343 meters in one second.

The distance travelled by the sound in 7 seconds will be calculated as,

Distance = 343 x time

Distance = 343 x 7

Distance = 2401 meters

Therefore, the distance of the sound in 7 seconds will be 2401 meters.

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Solve 430-200 using the arrow way.

Answers

Answer:

190

Step-by-step explanation:

430->230 subtract 200

430->230->200 subtract 200 then 30

430->230->200->190 subtract 200 then 30 then 10

Final answer:

To solve 430-200 using the arrow way, start with 430, draw an arrow to subtract 200, and write the result, 230, at the tail of the arrow.

Explanation:How to Solve 430-200 Using the Arrow Way

To find the solution to 430-200 using the arrow way, you can follow these steps:

Start by writing the number 430.Draw an arrow downwards to subtract 200 from 430.Calculate the value after this subtraction, which gives you 230, and write this number at the tail of the arrow.

This visual representation using arrows helps illustrate the process of subtraction. The final answer, or the head of the arrow, is therefore 230.

Leo deposited $2494.05 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?

Answers

Final answer:

Leo earned approximately $992.08 in interest after 13 years.

Explanation:

Compound interest is calculated using the formula:

A = P(1 + r/n)^(nt)

Where:

A = Total future amountP = Principal amountr = Annual interest rate (as a decimal)n = Number of times the interest is compounded per yeart = Number of years

In this case, Leo deposited $2494.05 with an interest rate of 2.5% compounded weekly for 13 years. Plugging the values into the formula:

A = 2494.05(1 + 0.025/52)^(52*13)

A = 2494.05(1.00048077)^(676)

A ≈ $3486.13

To find the interest earned, subtract the principal amount from the total future amount:

Interest = A - P

Interest ≈ $3486.13 - $2494.05

Interest ≈ $992.08

Learn more about Calculating Compound Interest here:

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what value of x makes the equation below true?​

Answers

Answer:

B

Step-by-step explanation:

7 + x = 84

Subtract 7 from both sides.

x = 77

use the distributive property to write an expression that is equivalent to each expression. -2(-6x + 3y - 1) ​

Answers

Im pretty sure this is the answer

12x-6y+2

christina plotted the shape of her garden on graph paper. she estimates that she will get about 15 carrots from each square unit. she plans to use the entire garden for carrots. about how many carrots can she expect to grow? explain.​

Answers

I wish I could help but I can’t bc I don’t know what it is sorry

Answer:

300 carrots

Step-by-step explanation:

Count the square units inside the composite figure. The area of the garden is 20 sq. units. Each square unit will grow about 15 carrots. Therefore, Christina will multiply 20 by 15 totaling to 300 carrots.

What is the measure of ∠W, rounded to the nearest degree?

19°
32°
56°
71°

Answers

Answer:

71°

Step-by-step explanation:

This is an isosceles triangle because it has two sides with lengths, hence the angles opposite the equal sides are also equal, that is ∠U = ∠V.

So we can say that:

∠U = ∠V = α

∠W = β

Since the internal angles of a triangle add up to 180 degrees, then:

α + α + β = 180

2α + β = 180

β = 180 - 2α

Using the law of sine:

[tex]\frac{35}{sin\beta} =\frac{30}{sin\alpha} \\ \\ \frac{35}{sin(180 - 2\alpha)} =\frac{30}{sin\alpha} \\ \\ \\ From \ Properties: \\ \\ sin(180-2\alpha)=sin(180)cos2\alpha-sin2\alpha cos(180) \\ \\ = -sin2\alpha(-1)=sin2\alpha \\ \\ Also: \\ \\ sin2\alpha=2sin\alpha cos\alpha[/tex]

Therefore:

[tex]\frac{35}{2sin\alpha cos\alpha} =\frac{30}{sin\alpha} \\ \\ \therefore \frac{35}{60}=cos\alpha \\ \\ \alpha=cos^{-1}(\frac{7}{12})=54.31^{\circ}[/tex]

But we want to know ∠W = β, therefore:

[tex]\beta = 180 - 2\alpha \\ \\ \beta =180-2(54.31)=71.37^{\circ}[/tex]

And rounded to the nearest degree:

∠W = 71°

If you roll a single six-sided die, what is the probability of rolling an odd number? A. B. C. D. 3

Answers

Final answer:

The probability of rolling an odd number on a six-sided die is 1/2 or 50%, calculated by dividing the 3 odd outcomes (1, 3, and 5) by the total of 6 possible outcomes.

Explanation:

If you roll a single six-sided die, the question asks what is the probability of rolling an odd number. A six-sided die has three odd numbers (1, 3, and 5) and three even numbers (2, 4, and 6). Therefore, the probability of rolling an odd number is calculated by dividing the number of odd outcomes by the total number of possible outcomes.

The formula for probability is Probability = Number of favorable outcomes / Total number of possible outcomes. In this case, there are 3 favorable outcomes (rolling a 1, 3, or 5) out of 6 possible outcomes (since a die has 6 sides). Therefore, the probability is 3/6, which simplifies to 1/2.

So, if you roll a single six-sided die, the probability of rolling an odd number is 1/2 or 50%.

Evaluate 12x−3y when x=−1/4 and y=3.

Answers

Answer:

-12

Step-by-step explanation:

12x−3y

Let x = -1/4   and y=3

12(-1/4) -3(3)

Multiply

-12/4 -9

Divide

-3-9

Add

-12

Answer:

-12

Step-by-step explanation:

12x-3y...

It is straightforward, but you plug in -1/4 and 3 in the equation.

12(-1/4)-3(3)

-3-9

so you get

-12

You run 7 miles in one hour and 21 miles in three hours

Answers

Answer: the answer is three sorry if its wrong.

Step-by-step explanation:

Your answer will be 3

What is x please

3x +9 = 12

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

3x + 9 = 12

Subtract 9 from both sides:

3x + 9 - 9 = 12 - 9

As you can see, the '9' would cancel out on the left side:

3x = 3

Divide both sides by 3:

x = 1

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

3x + 9 =12

To solve for x you need to get it by itself.

First subtract 9 from both sides of the equation:

3x = 3

Now divide both sides by 3

x = 3/3

x = 1

Patel's class voted on their favorite color. Patel plans to make a circle graph to display the results. which statements are true about the circle graph Patel can create? Check all that apply.

last option is
The same number of students voted for red as for indigo​

Answers

Answer:

Step-by-step explanation:

1) Percentage of blue = [tex]\frac{6}{36} *100\\=16.67%\\=17%[/tex]

True

2) Organe has the least number and hence true

3) Yes. 36 students represent 100% of the data set

4) violet has 12 i.e. 12/36 =1/3 of the total. Hence true.

5) There are 7 colours and hence 7 segments.  Hence false.

Answer:

1, 2, 3, 4, and 6

Step-by-step explanation:

Right on E D G E N U I T Y unit test.

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