what is the volume of a cone with a height of 27 cm and a radius of 13cm

Answers

Answer 1

Answer:

V≈4778.36cm³

Step-by-step explanation:

Answer 2

Answer:

1/3πr^2h.

1/3×3.142×13^2×27.

1/3×14336.946

4778.982cm^3


Related Questions

Which expression shows
8 less than the product of
4 times 7?

A: 7 + 7 - 8

C:4x7 - 8

B:8-4x7

D: 4X 7 + 8

Answers

Answer:

8 less than the product of 4 times 7 is....

8-4×7.

Answer:

i think b cuz it shows 8 less means minus than product of 4 × 7 so it shows the answer b

which of the following statements is not true concerning the equation x^2 - C = 0 for C > 0
A. the left hand side of the equation is called a difference of two squares
B. quadratic equation in this form can always be solved using the square root property
C. a quadratic equation in this form can always be solved by factoring
D. this equation is not considered to be a quadratic equation because it's not at the farm of ax^2 + BX + C = 0 ​

Answers

Answer:

it is the quadratic equations to sole your questions

solve the quadratic equation by completing the square x^2+8x+11=0

Answers

Answer:

[tex]x=-4\pm\sqrt5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^2+8x+11=0[/tex]

First, subtract 11 from both sides:

[tex]x^2+8x=-11[/tex]

Now, add the c term. Divide 8 by 2 and then square it:

[tex](x^2+8x+16)=-11[/tex]

What we do to one side we must also do to the other. Thus:

[tex](x^2+8x+16)=-11+16[/tex]

Simplify:

[tex](x^2+8x+16)=5[/tex]

Perfect Square Trinomial:

[tex](x+4)^2=5[/tex]

Take the square root:

[tex]x+4=\pm\sqrt5[/tex]

Subtract 4:

[tex]x=-4\pm\sqrt5[/tex]

And that's our answer :)

Plz help 7th grade math ASAP

Answers

Answer:

6

Step-by-step explanation: think of it this way. When you adding a positive to a negative, you simply taking the negative away from the positive. So in this case, you are subtracting 2 from 8 to get six. Or, its the difference between the positve and the negative!! Hope this helps!

Answer:

6

Step-by-step explanation:

Simplify: 8 + (-2) = 8 - 28 - 2 = 6

I hope this helps!

Points A, B, and C are collinear and AB. AC at (n, q) and point C is located at (-3,-4). What are the values of n and q?​

Answers

Answer:

the answer is -4

Step-by-step explanation:

Find the standard form of the equation of the ellipse with the given characteristics. Center: (1, 2); vertex: (−7, 2); minor axis of length 12

Answers

Answer:

(x-1)²/64 + (y-2)²/144 = 1

Step-by-step explanation:

The standard equation of an ellipse is expressed as (x-h)²/a² + (y-k)²/b² = 1

Where the coordinate (h,k) is the centre of the ellipse.

a is the the difference of the x coordinates of the centre and the vertex.

b is the minor axis.

Given the centre to be (1,2), on comparing with the coordinate (h,k),

h = 1 and k = 2

The difference of the x coordinates of the centre and the vertex = -7-1 = -8

The minor axis as given in the equation is b = 12

Substituting the given parameters into the equation of an ellipse above we will have;

(x-1)²/(-8)² + (y-2)²/12² = 1

(x-1)²/64 + (y-2)²/144 = 1

The final equation gives the required standard form of the equation of the ellipse.

The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: The digit must be odd. The letters A, E, I, O, and U cannot be used. Letters cannot be used more than once.

Answers

Answer:

For the code we have 3 selections.

The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}

So we have 5 options.

The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)

So here we have 27 - 5 = 22 options

The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.

Here we have 22 - 1 = 21 options.

The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:

C = 5*22*21 = 2310.

There are 2310 different possible codes

Are 95/- 5, - 95/5, - 95/5 the same?

Answers

Answer:

Step-by-step explanation:

Yes, 95/-5, -95/5, -95/5 are the same.

They are all equal to -19

Answer:

Yes, 95/-5, -95/5, -95/5 are the same.

They are all equal to -19

Step-by-step explanation:

x^2+y^2=25 Y= 2x - 5
What are the x coordinates

Answers

Answer:

(0, -5) and (4, 3)

Step-by-step explanation:

I assume you're looking for the coordinates of the intersections, if any.

Solve by substitution:

x² + (2x − 5)² = 25

x² + 4x² − 20x + 25 = 25

5x² − 20x = 0

5x (x − 4) = 0

x = 0 or 4

So the coordinates are (0, -5) and (4, 3).

In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due to line spoilage and 3% involve both problems. (a) Are the two types of spoilages independent or not? Justify your answer. (b) What is the probability that: i- line spoilage given that there is transformer spoilage ii- Transformer spoilage but not line spoilage. iii- Transformer spoilage given that there is no line spoilage iv- Neither transformer spoilage nor there is no line spoilage v- Either transformer spoilage or there is no line spoilage

Answers

Answer:

   

Step-by-step explanation:

Let us denote probability of   spoilage as follows

Transformer spoilage = P( T ) ; line spoilage P ( L )

Both P ( T ∩ L ) .

Given

P( T )  = .05

P ( L ) = .08

P ( T ∩ L ) = .03

a )

For independent events

P ( T ∩ L ) =  P( T ) x  P ( L )

But  .03  ≠  .05 x .08

So they are not independent of each other .

b )

i )

Probability of line spoilage given that there is transformer spoilage

P L/ T ) = P ( T ∩ L ) / P( T )

= .03 / .05

= 3 / 5 .

ii )

Probability of transformer spoilage but not line spoilage.

P( T ) - P ( T ∩ L )

.05 - .03

= .02

iii )Probability of transformer spoilage given that there is no line spoilage

[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )

=  .02 / 1 - .08

= .02  / .92

= 1 / 49.

i v )

Neither transformer spoilage nor there is no line spoilage

= 1 - P ( T ∪ L )

1 - [  P( T ) +  P ( L ) - P ( T ∩ L ]

= 1 - ( .05 + .08 - .03 )

=  0 .9

Which of the following units is commensurable with miles?

• acres
• kilograms
• hours
• centimeter

Answers

Answer:

  centimeter

Step-by-step explanation:

Miles is a measure of distance, so the commensurable measure will also be a distance measure.

  acres - area measure

  kilograms - mass measure

  hours - time measure

  centimeter - distance measure

Using the commensurable units concept, it is found that centimetres is commensurable with miles.

-------------------

Two units of measurement are said to be commensurable if they represent the same thing.

-------------------

Miles is a measurement of distance.Acres is a measurement of area, thus, it is incommensurable with miles.Kilograms is a measurement of mass, thus, it is incommensurable with miles.Hours is a measurement of time, thus, it is incommensurable with miles.Centimetres is a measurement of distance, thus, it is commensurable with miles, being the correct option.

A similar problem is given at https://brainly.com/question/17387584

At a sale this week a suit is being sold for $323. This is a 32% discount from original price. What is the original price

Answers

Answer:

$475

Step-by-step explanation:

Make an algebraic expression

if 10 students each own 10 pencils, which expression matches how many in total pencils they?

Answers

10×10=100

there is 100 pencils in total

the absolute value of twice a number increased by 11

Answers

Answer: I2*N + 11I

Step-by-step explanation:

Let's break the sentence so it is easier to understand:

First, "the absolute value of a number N" is:

INI.

"twice a number increaced by 11"

is:

2*N + 11

Then; "the absolute value of twice a number increased by 11" is:

I2*N + 11I

Use the distributive to remove the parentheses: x(c-4)

Answers

Answer:

xc + -4x

Step-by-step explanation:

The distributive property allows the multiplication of a sum by multiplying each addend separately and then sum those products.

With this in mind, let's apply the distributive property to the expression:

x (c - 4)

= x * c + x * (-4)

= xc +  -4x

Cheers.

Solve the following linear equation and please explain how you did it 6y+8=6(y+4)−16

Answers

Answer:

infinite solutions, true for all y

Step-by-step explanation:

6y+8=6(y+4)−16

Distribute

6y+8 = 6y+ 24 - 16

Combine like terms

6y+8 = 6y+8

Subtract 6y from each side

8=8

Since this is always true, the equation is true for all real y

Answer:

True of all values of 'y'.

Step-by-step explanation:

[tex]6y+8=6(y+4)-16\\\\6y+8=6y+24-16\\\\6y+8=6y+8\\\\6y+8-8=6y+8-8\\\\6y=6y\\\\6y-6y=6y-6y\\\\\boxed{0=0}[/tex]

Hope this helps.

Simplify the following expression: [tex]\sqrt{x} 48a^{8}[/tex]

Answers

Answer:

[tex]48\sqrt{x}a^{8}[/tex]

Step-by-step explanation:

[tex]\sqrt{x}48a^{8}[/tex]

rewrite using communitive property of multiplication:

[tex]48\sqrt{x}a^{8}[/tex]

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\sqrt[48]{xa^8} \; \, \dfra\;\ \;\; \dfrac{}{} $ } }\\[/tex]

Step-by-step explanation:

[tex]\sqrt{x48a^8}[/tex]

There are no variables we will just rewrite this as:

[tex]\sqrt[48]{xa^8}[/tex]

Hope this helps!

Beverly has a backyard that is square. One of the sides is 10 feet long. What is the area of her back yard?

Answers

Answer:

100 ft sq.

Step-by-step explanation:

A square means all sides are equal.

Area = bxh

10 ft x 10 ft = 100 ft sq.

Answer:

The area is 100 ft^2

Step-by-step explanation:

A square has 4 equal sides so if one side is ten then all of the sides are 10


1. Twelve years ago, your grandma put money into a savings account for you that earns 7.5% interest annually and is
continuously compounded. How much money is currently in your account if she initially deposited $10,000 and you
have not taken any money out?

Answers

Answer:

23,817$

Step-by-step explanation:

And you will have earned 13,817 in interest.

The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79.

What is compound interest?

Compound interest is applicable when there will be a change in principal amount after the given time period.

If you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

Given that,

Principle amount P = $10000

Rate of interset R = 7.5% = 0.075

Time period T = 12 years

Compound interest formula ;

A = P[1+R]^T

A = 10000[1+0.075]¹²

A = $23817.79

Hence "The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79".

For more information about compound interest,

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Evaluate each expression. (Simplify your answers completely.)

Answers

Answer:

b- 6

c- 72 square root 2

Step-by-step explanation:

whats 16*2-3(2^6+12)*5

Answers

Answer:

- 328

Explanation:

16*2-3(2*6+12)*5 = 32 - 3(12+12)*5 = 32-3*24*5 = 32-360 = - 328

Answer: The answer is 11,020.

Step-by-step explanation:

Do the equation one step at a time:

1. 16 times 2 = 32

2. 32 - 3 = 29

3. (2 ^ 6 + 12) = 64 + 12 = 76

4. (29)(76) = 2,204

5. (2,204) times 5 = 11,020.

Hence, your answer.

What is the slope of the line that passes through the points (-8, -1) and
(-12,-2)? Write your answer in simplest form.

Answers

Answer:

3/20

Step-by-step explanation:

use slope form

-1 - -2 over -8 - -12

WILL MARK BRAINLIEST An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front of the house to measure 60 feet long. The architect's sketch shows that the front of the house has a length of 15 inches. Determine the factor of dilation used by the architect as he created the scale drawing for his customer. In your final answer, include all of your calculations.

Answers

Answer:

The scale factor is 1/48

Step-by-step explanation:

First, we need to convert 60 feet to inches.

60 feet = 720 inches

Then, we divide 720 by 15

720/15= 48.

The scale factor is 1/48.

The scale factor of dilation is given by the proportion and A = 48

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

We can use the ratio of the lengths of the corresponding sides to find the scale factor or dilation factor used by the architect.

Let A be the factor of dilation used by the architect. Then we can set up the following proportion:

60 feet / A = 15 inches / 1

We can solve for x by cross-multiplying:

60 feet x 1 = A x 15 inches

A = (60 feet) / (15 inches)

We need to convert feet to inches to get the units to match:

A = (60 feet) / (15 inches) x (12 inches / 1 foot)

Simplifying, we get:

A = 720 / 15

A = 48

Hence , the architect used a scale factor of 48 when creating the scale drawing of the house

To learn more about proportion click :

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4(x+2) = x-4 ALGEBRA TILES ALGEBRA Solution:​

Answers

Answer:

x = 4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

4(x + 2) = x - 4

Step 2: Distribute

4x + 8 = x - 4

Step 3: Subtract 8 on both sides

4x + 8 - 8 = x - 4 - 8

4x = x - 12

Step 4: Subtract x on both sides

4x - x = x - x - 12

3x = 12

Step 5: Divide both sides by 3

3x/3 = 12/3

x = 4

Final Answer:

x = -4

Step-by-step explanation:

step 1 Simplify both sides of the equation:

4(x + 2) = x - 4

(4)(x) + (4)(2) = x + (-4)

4x + 8 = x + (-4)

step 2 Subtract x from both sides:

4x + 8 - x = x - 4 - x

3x + 8 = -4

step 3 Subtract 8 from both sides:

3x + 8 - 8 = -4 - 8

3x = -12

last step Divide both sides by 3:

3x      -12

___ = ___

 3         3

x = -12/3

x = -4

:)

Ms. Rangtonsmith make $25 dollars an hour. Her boss will be giving him a raise that is 1/5 of her current salary. How much money will Ms. Rangtonsmith be making AFTER he gets a raise?

Answers

Answer:

Ms. Rangtonsmith will get $30 after raise

Step-by-step explanation:

Current salary = $25

raise = 1/5 of current salary

substituting current salary with $25

raise in dollar value = 1/5 of $25 = 1/5 *$25 = $5

Thus, raise is $5

total salary after raise will be sum of current salary and raise

total salary after raise = $25 + $5 = $30

Thus, Ms. Rangtonsmith will get $30 after raise

x^3 - 2y^2 - 3x^3 + z^4

Answers

Answer:

-2x³ - 2y² + z⁴

Step-by-step explanation:

Step 1: Write out expression

x³ - 2y² - 3x³ + z⁴

Step 2: Combine like terms (x³)

-2x³ - 2y² + z⁴

one third of a number less than 9 equal to 7

Answers

9 - 1/3x = 7

7 is the correct answer

is 3.14159 a rational or irrational number?

Answers

Answer:

Irrational

Step-by-step explanation:

It would be a irrational number because it’s a crazy decimal/pi and you can’t determine what number comes next.

Find the slope of the line passing through the points (-2,5) and (3/2, 2).

Answers

Answer:

The answer is

[tex] - \frac{6}{7} [/tex]

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

[tex]m = \frac{2 - 5}{ \frac{3}{2} + 2} \\ = - \frac{3}{ \frac{7}{2} } \\ = - 3 \div \frac{7}{2} \\ = - 3 \times \frac{2}{7} [/tex]

We have the final answer as

[tex] - \frac{6}{7} [/tex]

Hope this helps you

Solve for x. 3(2x - 2) = 21 + 3x
15 5 20 9​

Answers

Answer:

x=9

Step-by-step explanation:

3(2x - 2) = 21 + 3x

Divide each side by 3

3/3(2x - 2) = 21/3 + 3x/3

2x-2 = 7+x

Subtract x from each side

2x-2-x = 7+x-x

x-2 = 7

Add 2 to each side

x-2+2 = 7+2

x = 9

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