Figure A~ Figure B

Figure A

Figure B

r = 2 ft

r = 6 ft

V = 25. 12 cu ft

Find the volume of Figure B.

Round your answer to two decimal places,

[?] ft[ ]

Enter

No links please

Answers

Answer 1

Figure B's cone has a volume of 678.24 cu ft.

The Volume of Cone in figure B is 678.24 cu ft.

                                                                                                                             

Given:

Figure A~ Figure B

                                                                                                                         

Figure A: where V = 25.12 cu ft and r = 2 feet

Figure B: r= 6 ft

Now, the formula for volume of cone

= 1/3 πr²h

As, Figure A and B are similar

So, [tex]r(B) / r(A) =h(A) / h(B)\\[/tex]

                       [tex]= 6/2[/tex]

                       =3

Now, r(B) = 3 r(A)

and, h(B) = 3 h(A)

So, the volume of figure B is

V = 1/3 π(3 r(A))² (3h (A))

[tex]V = 1/3 \times 27\times 3\times \pi r^2(A) h(A)[/tex]

V = 27 πr(A)²h(A

V = 27 V(A)

V = 27 * 25.12

V = 678.24 cu ft

Thus, the volume is 678.24 cu ft.

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Figure A~ Figure B Figure A Figure B R = 2 Ft R = 6 Ft V = 25. 12 Cu Ft Find The Volume Of Figure B.

Related Questions

Please help me with 1 and 2!!!!

Answers

The solution is, 1) f+g =3x^3+x^2+2x-9 and, 2)  f+g = x^2-6x +2√(x-2)+17

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

1.) f(x) = 3x^3 -6x

            g(x) = x^2+8x-9

so, f+g

=3x^3+x^2+2x-9

and,

2.) f(x)=x^2-6x+7                                      

             g(x)=2√(x-2)+10

so, f+g

= x^2-6x +2√(x-2)+17

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Write down in terms of n, an expression for the nth term
of the following sequences:

b) 9 11 13 15 17

i need help

Answers

The expression for the nth term of the sequences in terms of n is 2n + 7

How to write expression for nth term?

9 11 13 15 17

Where,

First term, a = 9Common difference, d = 11 - 9 = 2nth term = number of term

nth term = a + (n - 1)d

= 9 + (n - 1)2

= 9 + 2n - 2

nth term = 2n + 7

Therefore, 2n + 7 is the expression which represents the nth term of the given sequence.

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Martin is building a fence around his rectangular garden. He has a 100 foot long roll of fencing he can use. The width of the garden is 10 feet

Answers

Answer:

Step-by-step explanation:

To find out how much of the 100 foot roll of fencing Martin will need to enclose the garden, you need to calculate the perimeter of the rectangular garden.

The perimeter is the total distance around the garden. To find the perimeter, you add up the lengths of all four sides of the rectangle.

The formula for the perimeter of a rectangle is: P = 2L + 2W

Where P is the perimeter, L is the length, and W is the width.

In this case:

P = 2 x 10 feet + 2 x 100 feet = 20 feet + 200 feet = 220 feet

Martin will need 220 feet of fencing to enclose his rectangular garden.

Tomo is making brownies.

He has 4/3 cups of sugar.
He needs 1/3 cup of sugar to make one whole batch of brownies.

Use the drop-down menus to complete the statements below about the brownies that Tomo can make.

Answers

Tomo can make more one whole batch of brownies. Tomo can make exactly four batch(es) of brownies with the sugar he has.

How to determine the true and complete statement?

Based on the information provided, we can logically deduce the following parameters:

Number of cups of sugar is equal to 4/3 cups of sugar.

Number of cups of sugar to make one whole batch of brownies is equal to 1/3 cup of sugar.

In order to determine the exact batches of brownies which Tomo can make based on the number of cups of sugar he has, we would divide the  number of cups of sugar by the number of cups of sugar that is required to make one whole batch of brownies as follows;

Batch of brownies = 4/3 ÷ 1/3

Batch of brownies = 4/3 × 3

Batch of brownies = 12/3

Batch of brownies = 4 batches of brownies.

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Complete Question:

Tomo is making brownies he has 4/3 cups of sugar. He needs 1/3 cup of sugar to make one whole batch of brownies. Tomo can make _____ one whole batch of brownies. Tomo can make exactly _____ batch(es) of brownies with the sugar he has.

ratios equal to 8:14

Answers

Answer: Two equivalent ratios are, 16:28 and 24:42

Step-by-step explanation:

How many domestic stamps do I need for an international letter?.

Answers

You need only Two stamp. If you are tranfering from the United States of America to the United States of America, you just have to pay $0.550 for a Domestic Forever Stamp. Your letter will reach the destination within 1 to 3 working days.

How cool is that? Just 50 cents for such quick delivery should be truly cherished

Carry in mind though, that this covers the first ounce. As soon as your wrapper goes over that weight, you need to add an extra 15-20 cents per ounce onto the price.

Do not stress, we’re going to know this in more detail

There are following requirements that your envelope must fit to be eligible for posting this way. These rules are as follows:

1. The envelope needs to be at least 4-5 inches by 3.5 inches but not much bigger than 11.5 inches by 6.125 inches, and no thicker than ¼ inches.

2. It needs to have a constant thickness.

3. It must be rectangular.

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A boat is traveling in a river with a current that has a speed of 1.5 km/h . in one hour the boat can travel twice the distance downstream as it can travel upstream . what is the boat speed in Stillwater ?

Answers

Answer:

To find the speed of the boat in still water, we can use the formula:

Speed in still water = (Downstream speed + Upstream speed) / 2

We know that the speed of the current is 1.5 km/h and the boat can travel twice the distance downstream as it can travel upstream. Therefore, if the boat travels x km downstream in one hour, it travels x/2 km upstream in one hour.

We can use this information to set up the following equation:

x + (x/2) = (x + x/2) = (3/2)x = Downstream speed

And the upstream speed is x/2

Now we can substitute this value into the formula for speed in still water:

Speed in still water = ( (3/2)x + (x/2) )/2 = (3x + x)/4 = x = (3+1) km/h = 4 km/h

So, the speed of the boat in stillwater is 4 km/h.

We don't know the exact distance that the boat travels downstream in one hour, so we can't calculate the speed in still water with the given information. To find the speed in still water we need to know the distance traveled downstream or upstream.

What happens when there is a negative number in a square root?.

Answers

The Real Numbers collection does not contain the square root of a negative number. truly intended. Mathematicians "created" a new number, i, to address this issue.

Since it was not part of the set of "Real Numbers," this number was referred to as an "imaginary number."

Can a number's square root be negative?

With the exception of zero, all numbers have positive and negative square roots. The positive square root, abbreviated as b, is the principal square root. Write b to denote the negative root, and b to denote both roots.

How is a negative square root solved?

Theorem: Square Roots of a Negative Number Simplifying an expression involving the square root of a negative number by simplifying the number as if it were a positive number and putting an i in front of it as a coefficient is one method. To put it another way, x=ix x = i x for every x where x is a positive number and where x is a negative number.

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A popular fast-food restaurant serves cheeseburgers and fries. A family meal consists of 4 cheeseburgers and 3 orders of fries for a total of 4100 calories. A deluxe family meal consists of 5 cheeseburgers and 6 orders of fries for a total of 6250 calories. How many calories are in one cheeseburger? calories How many calories are in one order of fries?​

Answers

Answer:

cheeseburger: 650 caloriesfries: 500 calories

Step-by-step explanation:

You want to know the numbers of calories in a cheeseburger and an order of fries if 4 cheeseburgers and 3 fry orders have 4100 calories, and 5 cheeseburgers and 6 fry orders have 6250 calories.

Equations

If we let c and f represent the calories in a cheeseburger and an order of fries, respectively, then we can describe the calories in the two orders by ...

4c +3f = 41005c +6f = 6250

Solution

Subtracting the second equation from twice the first gives ...

  2(4c +3f) -(5c +6f) = 2(4100) -(6250)

  3c = 1950 . . . . . . . simplify

  c = 650 . . . . . . . divide by 3

Then the calories in the fries can be found by substituting in the first equation:

  4(650) +3f = 4100

  3f = 1500 . . . . . . . . . subtract 2600

  f = 500 . . . . . . . . divide by 3

There are 650 calories in one cheeseburger, and 500 calories in one order of fries.

__

Additional comment

The attachment shows solution of these equations using the matrix functions of a graphing calculator. It reduces the augmented matrix of coefficients of the equations to a form that makes the variable values apparent.

The method of solution shown above uses the "elimination" technique to eliminate the 'f' variable from the equations. We noticed that the coefficient of 'f' in the second equation was double that in the first equation, so subtracting 2 times the first from the second makes the 'f' coefficient zero. We chose that subtraction so the 'c' coefficient would end up positive.

Answer: cheeseburger: 650 calories     fries: 500 calories

Step-by-step explanation:

Hope this helps!

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Pls and ty!

Carter plays
5
8
5
8
of a basketball game. The basketball game is 40 minutes long. Which of the following shows how to find the number of minutes Carter plays?

A.
5
×
8
8
×
8
=
40
64
5
×
8
8
×
8
=
40
64
; 40 minutes

B.
5
×
7
8
×
7
=
35
56
5
×
7
8
×
7
=
35
56
; 35 minutes

C.
5
×
5
8
×
5
=
25
40
5
×
5
8
×
5
=
25
40
; 25 minutes

D.
5
×
4
8
×
5
=
20
40
5
×
4
8
×
5
=
20
40
; 20 minutes

Answers

The total number of minutes Carter played the basketball game is 25 minutes.

The correct answer choice is option C.

What is the total number of minutes Carter plays?

Total minutes of the basketball game= 40 minutes

Minutes Carter played= 5/8 of Total minutes of the basketball game

= 5/8 × 40

= 0.625 × 40

= 25 minutes

Hence, Carter played the basketball game for 25 minutes.

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Find and simplify the function (fg)(x)

Answers

The product between functions f(x) and g(x) is:

(fg)(x) = x^3 - 4x^2 - 16x + 4

How to write the product of functions?

Here we have two functions:

f(x) = x - 4

g(x)  = x^2 - 16

We want to find the product:

(f times g)(x)

So we just need to take the product between the two functions:

(x - 4)*(x^2 - 16)

x^3 - 4x^2 - 16x + 4

Then the product of the functions is:

(f times g)(x) = x^3 - 4x^2 - 16x + 4

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Use the graphs to evaluate the following:
1. f(1) =_
2.g (-5) =
3. f (g (1)) =
4. f(g(-1.5)) =
5.g (f(-4)) =
6. f(f(-1)) =

Answers

The value for f(1) is -2. The solution has been obtained by forming equations of graphs of functions.

What is equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

First let's find the equation f(x)

Vertex form of parabola is y = a(x-h)^2 + k

where (h,k) is the location of the vertex.

Here, h= -1 and k = -4

We get y = a(x+1)^2 -4

Now, the parabola passes through (-4,0.5)

So,

0.5 = a(-4+1)^2 -4

We get a=0.5

Thus, f(x) is 0.5(x+1)^2 - 4

So, f(1)= 0.5(1+1)^2 - 4

⇒f(1)= 0.5*4 - 4

⇒f(1)= 2 - 4

f(1)= -2

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Since the question contains multiple questions, the question I answered is

Use the graphs to evaluate the following:

1. f(1) =_

What is 1 4 equivalent to in fractions?.

Answers

Equivalent 1/4 is equals to 4/16 in fractions.

Equivalent fractions in mathematics are ones that have the same denominator but different numerators. For instance, 2/4 and 3/6 are equivalent fractions since they both equal 1. A fraction is a piece of the total. Equivalent fractions are used to indicate identical parts of the whole.

The equivalent fraction of each fraction can be calculated by multiplying the numerator and denominator by the same integer. Equivalent fractions are ones that denote the same value despite visual disparities. You will have devoured half of a cake, for example, if you take a piece, cut it into two equal pieces, and then eat one of them.

= 1/4 is equivalent to:

= 1/4 * 4/4

= 4/16

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Correct Question:

What is 1/4 equivalent to in fractions?.

What is the main difference between an expression and a polynomial class 8?.

Answers

Expression and polynomial are both mathematical terms that are used to represent mathematical equations.

An expression is any combination of symbols, numbers, and operations that represent a value or a quantity. Expressions can be represented as algebraic equations, numerical equations, or verbal phrases.

A polynomial is a specific type of expression that is composed of one or more terms with each term containing a power of a single variable. A polynomial can be represented with a single variable or multiple variables.

A formula is an expression or equation that represents an idea or a relationship between two or more variables. A calculation is the actual process of evaluating an expression or equation to determine a numerical value or answer.

In summary, an expression is any combination of symbols, numbers, and operations that represent a value or quantity, while a polynomial is a specific type of expression composed of one or more terms with each term containing a power of a single variable.

A formula is an expression or equation that represents an idea or relationship between two or more variables, while a calculation is the actual process of evaluating an expression or equation to determine a numerical value or answer.

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A local little league has a total of 70 players, of whom 80% are left-handed. How many left-handed players are there?

Answers

Answer:

56

Step-by-step explanation:

Take 70 and multiply 80%

70 × 80/100 = 56

STUV is a parallelogram. Solve for SV:
S
19
4x1
2x + 3
U

Answers

The side length SV= 13 units

What is a parallelogram?

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

In a parallelogram, opposite sides are congruent.

ST=VU

=> 19=4x-1

=> 4x=19+1 = 20

=> x= 20/4 = 5

SV=2x+3

=>  SV=2(5)+3 = 10+3 = 13

The side length SV= 13 units

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Find the value of $x$ .

Two right triangles are shown, triangle A B C and triangle D E F. Angle B and angle E are marked as right angles. Angle C and angle F are marked as being congruent. For triangle A B C, side A C is labeled x inches and side B C is labeled 6 inches. For triangle D E F, side D F is labeled 12 inches and side E F is labeled 8 inches.

Answers

Answer:

9

Step-by-step explanation:

x/6=12/8

x=12*6/8

x=72/8

x=9

Jada had 30 dollars to spend on 3 gifts. She spent 10
9
10
dollars on gift A and 4
3
5
dollars on gift B. How much money did she have left for gift C?

Answers

She has 16 left for gift C.
30-14=16
16 dollars left that how much she save

What is the solution of the equations 8x +3y 5 and 3x 2y 5?.

Answers

The solution of the equation 8x + 3y = 5 and 3x + 2y = 5 is x = -5/7 and y = -7/24

In math the term called equation is defined as a mathematical statement that shows that two mathematical expressions are equal

Here we have given that the equation 8x + 3y = 5 and 3x + 2y = 5 and we need to solve the equation to find the values of x and y.

in order to solve the equation we have to multiply 2 with the equation (1), then we get,

=> 16x + 6y = 10

And then we have to multiply 3 with the equation (2), then we get,

=> 9x + 6y = 15

Now, we have to subtract these two equation then we get,

=> 7x = -5

=> x = -5/7

Then the value of y is calculated as,

=> 8(-5/7) + 3y = 5

=> -40/7 + 3y = 5

=> 3y = -35/40

=> 3y = -7/8

=> y = -7/24

Therefore, the solution is found.

Complete Question:

What is the solution of the equations 8x + 3y = 5 and 3x + 2y = 5?

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A right triangle has side lengths measuring 5cm 12cm and 13 cm a similar triangle has a hypotenuse of 169cm what is the length of the shortest of the larger triangle

Answers

the answer should be B. 65cm

The ratio of the measures of the three angles of a triangle is 4:5:6. Find the measure of each angle of the triangle in order from smallest to largest.

Smallest angle:?
Medium angle:?
Largest angle:?

Answers

Answer:

48, 60, 72

Step-by-step explanation:

4 + 5 + 6 = 15

The sum of interior triangles is 180

15/180 = 12

Multiply each part by 12

4 x 12 = 48

5 x 12 = 60

6 x 12 = 72

Classify this triangle by its sides and angles.

A.) right and scalene
B.) acute and scalene
C.) right and equilateral
D.) acute and equilateral

Answers

Answer: acute and scalene

Step-by-step explanation:

we can see from the figure that no side has an angle greater than 90°. Therefore triangle must be an acute angled triangle

Also given in the figure that no two or all sides are equal that is all sides are of different length which means it is a scalene triangle

Hence the answer is acute and

Is proof by contrapositive direct or indirect?.

Answers

Contrapositive is an example for indirect proof.

Indirect proof;

When the conclusion from a hypothesis is taken to be false (or the opposite of what it states), indirect proof or proof by contradiction is achieved from the given or deduced statements.

Contrapositive method of proof;

Proof by contrapositive, also known as proof by contraposition, is an inference rule used in proofs in mathematics where a conditional statement is inferred from its contrapositive. To put it another way, the assertion "if B, then not A" is proven rather than the conclusion "if A, then B."

Proof by Contrapositive method is indirect.

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Proof by contrapositive is an indirect method of proof where we assume the negation of the conclusion and show that it leads to the negation of the hypothesis. It is a powerful tool in mathematical reasoning and can be used to prove various statements and theorems.

In mathematics, a direct proof is a method of proving a statement by providing a logical sequence of steps that directly leads from the given information to the desired conclusion. On the other hand, an indirect proof is a method of proving a statement by assuming the opposite of the desired conclusion and deriving a contradiction or an absurdity.

To prove a statement using the contrapositive, we start by assuming the negation of the conclusion. Then, we proceed to show that if the negation of the conclusion is true, then the negation of the hypothesis must also be true. In other words, we prove the contrapositive of the statement.

Here is an example to illustrate proof by contrapositive:

Statement: If a number is even, then its square is also even.

To prove this statement by contrapositive, we assume the negation of the conclusion: If a number's square is odd, then the number itself is odd.

We then proceed to show that if the negation of the conclusion is true, then the negation of the hypothesis is also true. In this case, if the square of a number is odd, then the number itself must be odd.

We can prove this by considering that any even number squared will always result in an even number. Therefore, the contrapositive of the original statement is true, which implies that the original statement is true as well.

In conclusion, proof by contrapositive is an indirect method of proof where we assume the negation of the conclusion and show that it leads to the negation of the hypothesis. It is a powerful tool in mathematical reasoning and can be used to prove various statements and theorems.

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Mario and Luigi are making pizza for their birthday party. They need to make 25 pizza. Mario i fat and ha already made 11 pizza. Luigi i lower and only ha made 3. Write an equation with the variable (p) and how your work to determine how many pizza they have left to make

Answers

The equation for the remaining work is given by the equation  25 - (x+y)

let x be the number of pizza made by Mario and y be the number of pizza made by luigi

let z be the pizza that still need to be made

so x+y+z=25

=> z = 25 - ( x + y )

so the total remaining pizza is given by 25 - (x+y) ---(i)

given that Mario had made 11 pizza so x = 11

and Luigi had made 3 pizza so  y = 3

so total remaining work is found using equation (i)

so z = 25 - ( 11 + 3)

=> 11

so remaining work is 11

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Carl's BBQ is increasing the amount of fries in their family value meal by 10%. If there were originally 16 ounces of fries in the family value meal, how many are there after the increase?​

Answers

Answer:

17.6

Step-by-step explanation:

Sid has a baseball cap collection. 75% of his caps have sports team symbols. If 24 of the caps have the team symbols, how many total caps does Sid have? 32 52 98 173

PLSSSSSS HELPPPP

Answers

The total caps does Sid have is 55% of x = 33

x = (33 * 100)/55

x = 60

What is collection?

In programming, a collection is a class used to represent a set of similar data type items as a single unit. These unit classes are used for grouping and managing related objects.A collection has an underlying data structure that is used for efficient data manipulation and storage. Code readability and maintenance improves when collections are used in logical constructs.

Collections are designed to group certain objects with a logical connection. For example, a StudentCollection object may be used to maintain university student details. Details may include the total number of students or offer a student search facility based on attributes, such as name, class or grade.

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Solve for j.

16j = 736

Answers

Answer:

j = 46

Step-by-step explanation:

16j = 736

----    -----

16      16

j = 46

Answer:

j = 46

I did 736 divided by 16 to find the answer.

PLSsSS I NEED HELP (and pls give the right answer)

Answers

The volume of right prism is equal to 464 cubic inches.

How to determine the volume of a beam-like right prism

Volume of right prisms (V), in cubic inches, is equal to the product of cross area (A), in square inches, and height (h), in inches:

V = A · h

According to figure, cross area is the result of adding the areas of three rectangles. Area formula for rectangles is:

A' = w · l

Where:

w - Width, in inches.l - Length, in inches.

First, determine the cross area of the prism:

A = 2 · (3 in) · (7 in) + (4 in)²

A = 42 in² + 16 in²

A = 58 in²

Second, calculate the volume of the right prism:

V = (58 in²) · (8 in)

V = 464 in³

The right prism has a volume of 464 cubic inches.

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On Saturday, the vacation reort offer a dicount on both activitie. To take a urfing leon and go paraailing cot $130. That day, 25 people take urfing leon, and 30 people go paraailing. A total of $3,650 i collected. What i the dicounted price of each activity?

Answers

A discounted surfing lesson costs $50, and a discounted parasailing trip costs $80.

Let x represent the discounted cost per person for a surfing class.

Let y represent the reduced cost per person for surfing instruction.

The cost of taking a surfing lesson and going parasailing is $130

x + y = 130--------------(i)

25 people take

Surfing lessons and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

Thus, a discounted surfing lesson costs $50, and a discounted parasailing trip costs $80.

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At a school play, 750 tickets were sold. Each adult paid $0.75 admission and each minor paid 50 cents. How many adults attended if the receipts were $437.50?

Answers

Answer:

583 adults.

437.50/.50 = 583.333333333

Step-by-step explanation:

Hope it helps! =D

Other Questions
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