Answer the two questions below. Show ALL of your work.
(a) John and Stan were building a sand castle. They decided to make it into a cone shape. After some time, the diameter of the sand shaped cone was 12 in and the height was 7in. What is the exact volume of the sand cone? (Show your work. Remember you can draw a picture to help you solve the problem.)
(b) The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of the sand cone now? (Show your work. Remember you can draw a picture to help you solve the problem.)

Answers

Answer 1

Answer A: 84π

Answer B: I'm also confused. If anyone else knows can you please help me also. Sorry for not answering B. I hope this helps though.

Step-by-step explanation:

Answer A:

V=1/3π 6^2 (7) Since 12 is a diameter you half it which is 6

V=1/3π 36(7)

V=1/3π 252

V= 252π/3

V=84π


Related Questions

What is the image of (- 4, 3) after a dilation by a scale factor of 2 centered at the origin?

Answers

Answer: (-8,6)

Step-by-step explanation:

Question: What is the image of (-4,3)(−4,3) after a dilation by a scale factor of 22 centered at the origin?

Dilation: multiply each coordinate

(x,y)\rightarrow (2x,2y)

(x,y)→(2x,2y)

Dilations multiply by scale factor

(\color{red}{-4},\color{blue}{3}) \rightarrow (2\cdot \color{red}{-4},2\cdot \color{blue}{3})=\mathbf{(-8,6)}

(−4,3)→(2⋅−4,2⋅3)=(−8,6)

This was on my delta math so i hope this helps

The image of the point (- 4, 3) after dilation will be (-8,6).

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given point is  (-4, 3). The dilation of the point will be calculated as below:-

Dilation:- multiply each coordinate.

(x,y)→(2x,2y)

Dilations multiply by a scale factor

(−4,3)→(2⋅−4,2⋅3)=(−8,6)

Therefore, the image of the point (- 4, 3) after dilation will be (-8,6).

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i giv points please be right

Answers

Answer:

The answer is 84x-16y-10.6

Step-by-step explanation:

You're welcome

Find f(f(x))? Thanks so much!

Answers

the answer is
f(-3x^2+3x)=-27x^4
Answer is -27x^4
Hope this helps
Have a great day or night

Write the ratio 2 3/5 in simplest form.

Answers

Answer:

Already in simplilest form

If y varies directly as x and x=6 when y=0.5, find y when x=10

Answers

Answer:

y = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]

y = [tex]\frac{1}{12}[/tex] x ← equation of variation

When x = 10, then

y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]

PLZ HELP -geometry- Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(1,3), H(4,3), J(5,1), and K(2,1).

The coordinates are ( , ).

Answers

Answer:

The coordinates of the intersection of the diagonal of the parallelogram are [tex]M(x,y) = (3,2)[/tex].

Step-by-step explanation:

Diagonals are represented by line segments GJ and KH. Since quadrilateral is a parallelogram, then coordinates of the intersection are located at midpoint of each diagonal ([tex]M(x,y)[/tex]). That is:

[tex]M(x,y) = G(x,y) + \frac{1}{2}\cdot \overrightarrow {GJ}[/tex]

[tex]M(x,y) = G(x,y) +\frac{1}{2}\cdot [J(x,y)-G(x,y)][/tex] (1)

If we know that [tex]G(x,y) = (1,3)[/tex] and [tex]J(x,y) = (5,1)[/tex], the coordinates of the intersection of the diagonals of the parallelogram are:

[tex]M(x,y) = (1,3) +\frac{1}{2}\cdot [(5,1)-(1,3)][/tex]

[tex]M(x,y) = (1,3) +\frac{1}{2}\cdot (4,-2)[/tex]

[tex]M(x,y) = (1,3) +(2,-1)[/tex]

[tex]M(x,y) = (3,2)[/tex]

There is another form:

[tex]M(x,y) = K(x,y) +\frac{1}{2}\cdot \overrightarrow{KH}[/tex]

[tex]M(x,y) = K(x,y) + \frac{1}{2}\cdot [H(x,y)-K(x,y)][/tex] (2)

If we know that [tex]K(x,y) = (2, 1)[/tex] and [tex]H(x,y) = (4,3)[/tex], the coordinates of the intersection of the diagonals of the parallelogram are:

[tex]M(x,y) = (2,1) + \frac{1}{2}\cdot [(4,3)-(2,1)][/tex]

[tex]M(x,y) = (2,1) + \frac{1}{2} \cdot (2,2)[/tex]

[tex]M(x,y) = (2,1) + (1,1)[/tex]

[tex]M(x,y) = (3,2)[/tex]

Therefore, the coordinates of the intersection of the diagonal of the parallelogram are [tex]M(x,y) = (3,2)[/tex].

Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=125, y=8.

Answers

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

y α k/∛x is the relationship of the variables x and y whose values are 125 and 8.

What is Equation?

Two or more expressions connected with an equal sign is called Equation.

The relationship of the given variables. y varies inversely as the cube root of x.

By given data we can write as

y α k/∛x

The cube root of 125 is 5.

y α k/∛125

y α k/5

8=k/5

k=40

Hence y α 40/∛x is the relationship of the variables x and y whose values are 125 and 8.

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Solve for x.

​4(5x−20)=−20​

Enter your answer in the box.

x =?

Answers

Answer:

4(5x-20)=-20 should be x=3

Answer:

x = 3

Step-by-step explanation:

4(5x−20)=−20 | Given

20x - 80 = -20 | Distribute the number on the outside (multiply all numbers on the inside by the number on the outside, 4×5x and 4×-20)

20x = 60 | Add 80 to both sides (do the opposite operation, if its a negative number add it to both sides)

x = 3 | Divide both sides by 20x (20x turns into x and 60 turns into 3 via 60÷20)

Simplify the given equation.
17x - 6 + 3x - 5 = x + 11 + 4x

Answers

Answer:

x = 22/15

Step-by-step explanation:

17x - 6 + 3x - 5 = x + 11 + 4x

= (17x + 3x) (-6 - 5) = x + 11 + 4x

= 20x - 11 = x + 11 + 4x

= 20x - 11 = (x + 4x) + 11

= 20x - 11 = 5x + 11

= 20x - 5x = 11 + 11

= 15x = 22

Exact form: 22/15

decimal: 1.4666666...

mixed number: 1 7/15

uhh solve the question? i hope i find some haikyuu stans out there✌️

Answers

Answer and Step-by-step explanation:

[tex](\frac{1.25 - x}{1.25x} ) * 100\\\\\\(\frac{1.25}{1.25x} - \frac{x}{1.25x} ) * 100\\\\(\frac{1}{x} - \frac{1}{1.25} ) * 100\\\\\frac{100}{x} - 80\\\\\\[/tex]

Decreased by 20%

Answer:

YESSSSSS I LOVE HAIKYUU (my favorite ppl in haikyuu are iwaizumi, akaashi, kuroo, oikawa, and kenma- also suna)

Step-by-step explanation:

also 20% is ur answer

Please answer fast ill give brainlist and 5 stars

Halena has a recipe for pastry.

She says that the ratio of margarine to flour is 4:1.

Is Halena correct? Explain your answer.

Answers

Answer:

yes because she adds 4:1.

Step-by-step explanation:

PLEASE HELP!!!!

Question 1 :
The graph of f(x) = x^2 was transformed to create a graph g(x) =f(x)+2.

Which statement about the graphs is true?


The vertex of the graph of g is 3 units to the right of the vertex of the graph of f.

The vertex of the graph of g is 2 units to the left of the vertex of the graph of f.

The vertex of the graph of g is 2 units above the vertex of the graph of f.

The vertex of the graph of g is 2 units below the vertex of the graph of f.

Question 2 :

The graph of f(x)=x^2 was transformed to create the graph of g(x)=(x−3)^2.

Which statement describes this transformation?


a vertical shift up 9 units

a vertical shift down 9 units

a horizontal shift to the right 3 units

a horizontal shift to the left 3 units

Question 3 :

The graph f(x)=x^2 was transformed to create the graph g(x)=−1/5x^2

Which statement describes this transformation?


a reflection over the x-axis and a vertical compression

a reflection over the x-axis and a horizontal compression

a reflection over the y-axis and a horizontal compression

a reflection over the y-axis and a vertical compression

Question 4 :
Use the parabola tool to graph g(x).

g(x)=(x+1)^2−2

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

PLEASE HELP.

Answers

Answer:

the first question is the second choice

the second question is the 1st choice

the third question is the third choice

+) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
more than 200 points. He wants to know how many gold coins he needs to find.
Solve the Inequality 25g > 200

Answers

Answer:

you need to find 8 gold bars

Step-by-step explanation:

Two students measure the angle between the ground and the top of a flagpole at a distance of 30 feet from the base of flagpole, as shown in the diagram. Which equation could be used to find the height of the flagpole?
WILL GIVE BRAINLIEST

Answers

Answer: tan(65) = x/ 30

Step-by-step explanation: i took the quiz

The equation could be used to find the height of the flagpole is

tan 65= x/ 30.

What is Trigonometry?

The study of triangles' relationships to their angles, lengths, and heights is known as trigonometry. In particular for right-angled triangles, it includes ratios, functions, identities, and formulas to solve issues based on it.

Given:

Base= 30 feet

Angle = 65

Using Trigonometry

tan 65 = P / B

P = B (tan  65)

P = 30 ( tan 65)

or, x= 30 tan 65

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Write three different equations that match the tape diagram.
40
19
х
х
х
X
х
х
х

Pls answer quick

Answers

Answer:

19+7x=40

40-19=7x

40-7x=19

This is a project that’s half my grade please if you can give me the answer to all of them . I’m giving 50 points

Answers

Answer:

I can see how many guests that are there

I would still like to help though!

If the function f has five distinct zeros, which of the following could represent the complete graph off in the xy-plane?

Answers

Answer:

The zeros of a function are the points where the graph of the function crosses the x-axis.

Clearly Graph in option D could be the function which has 5 zeroes as it passes through the axis at 5 points.

Step-by-step explanation:

The graph of the function will intersect the x-axis five times. Then the correct option is D.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f has five distinct zeros.

Then the graph represents the complete graph of the function in the xy-plane will be

We know that the zeroes of the function are the intersection points of the x-axis and the function.

That means the graph will intersect the x-axis five times.

Then the correct option is D.

More about the function link is given below.

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Write an algebraic expression for the verbal expression
a number n less 35

Answers

Answer:

Step-by-step explanation:

the expression will be

n-35

Using a calculator Increase 48 by 34%

Answers

Answer:

64.32

I hope you got your answer.

New value =

48 + Percentage increase =

48 + (34% × 48) =

48 + 34% × 48 =

(1 + 34%) × 48 =

(100% + 34%) × 48 =

134% × 48 =

134 ÷ 100 × 48 =

134 × 48 ÷ 100 =

6,432 ÷ 100 =

64.32

Please help! I need it to move on to the next question I have 30 minutes

Answers

Answer:

uh either b or e

the others are slope-intercept

I hope this helps:)

- ♥

What's 3/5 of 1/4?!!!!! Plz help me!

Answers

Answer:

2.4 or  [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign.

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

[tex]\frac{12}{5}[/tex]

Solve for v.
Simplify your answer as much as possible.

5+2v=-3

Answers

Answer:

1 .Rearrange terms

5+2=−3

2+5=−3

2.Subtract 5 from both sides of the equation

2+5=−3

2+5−5=−3−5

3.Simplify

Subtract the numbers

2=−8

4.Divide both sides of the equation by the same term

2=−8

2/2=−8/2

5.Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

solution : =−4

A shirt that cost 60 dollars is now on sale for 30% off what is the value of the discount? Using the answer you found to find the difference between the original price and the amount of the discount

Answers

Answer:

you $42 and your saving $18

Step-by-step explanation:

Answer:

$42 would be the cost of the shirt after the discount. The difference between the price of the shirt before the discount, and after is $18.

Step-by-step explanation:

If you divide 60 by 100, you would get the value for 1% of $60. If you multiply that number by the discount amount, you get the amount that is going to be subtracted from the cost when the discount is applied.

60 / 100 = 0.6

0.6 x 30 =  18      (This is the difference)

60 - 18 = 42        (This is the value after the discount)

Thus the value after the discount is $42, and he difference between the 2 values is $18.

HELP ME ASAP!!!!!!!!!!!!!!!

See question attached.

THE CORRECT ANSWER GETS THANKS, A STAR RATING OF EXCELLENT AND BRAINLIEST!!!!!!!!!!!!!!!!! GOOD LUCK!!!!!!!!!!

Answers

Answer:

-1

Step-by-step explanation:

First input = 4

Then we subtract 7 = 4 - 7 = -3

After that we divide 3 = - 3 ÷ 3 = -1

Hence, the output is -1 (Ans)

Its 2.4... trust me!! Line out all your numbers. Add them up to get 65. There are 10 numbers so 65 divided by 10 is 6.5. Not done yet!! Then compare 6.5 to 10, (how far away is 6.5 to each number. Then add those numbers. then you get 24, now divide 24 by 10 to get 2.5. This is the answer for (08.02)Using the following data, calculate the mean absolute deviation:
10 7 1 6 7 9 8 10 2 5

Answers

Answer: 3.1 ? Possibly

Step-by-step explanation: Hmm have a brilliant day mate.-Lily ^_^

OWAOWOAOSJWJEHSJDNSYOUSEETHISIKNOWITNOWCOMEANSWER

Can yall help, please label them the answers like [box: (the number) so i don't get confused. handing out the crown, a heart, a 5 star like, and a thank you comment.

Answers

Answer:

oh lawd- i cant do this-

Step-by-step explanation:

Answer:

(2,5) goes to (3,3)

(-3,2) goes to (-2,0)

(-3,5) goes to (-2, 3)

translated 1 unit to the right and 2 units down

PLEASE SOLVE THIS PROBLEM AND I WILL GIVE YOU 20 POINTS AND MAKE YOU BRAINIEST!!!!

Answers

Answer:

its 24

Step-by-step explanation:

24

Hey Lets Get Some In the

Answers

Step-by-step explanation:

in the?¿????????!?????

Answer:

wott?

Step-by-step explanation:

3(y + 4) = 3y + 12
is it true or false?

Answers

Answer:

true

Step-by-step explanation: Any value of  y  makes the equation true.  All real numbers  Interval Notation: ( − ∞ , ∞ )

3(4x+8)+3?
answer
this
question
please

Answers

Answer: 12x+27

Step-by-step explanation: 3*4=12 and 3*8=24 24+3=27 so simplyfy it and you would get 12x+27

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