1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lord [1]
3 years ago
8

If the height of a cone is cut in half, the volume of the cone is multiplied by what number?

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0
We know that
volume of a cone=(1/3)*pi*r²*h

<span>If the height of a cone is cut in half
so
h=h/2
and 
new volume of a cone=</span>(1/3)*pi*r²*(h/2)----> (1/2)*[(1/3)*pi*r²*h)

the answer is
<span>the volume of the cone is multiplied by 1/2</span>
You might be interested in
HELP! I NEED THIS ANSWER, WILL GIVE BRAINLIEST
velikii [3]

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBB

5 0
3 years ago
WILL GIVE BRAINLIEST!!!
grin007 [14]

Answer:

i think the second one

Step-by-step explanation:

i think it would be the smartest thing to pick

7 0
3 years ago
Tory creates a cell phone app. He wants to distribute it through a company that will pay him $100 plus $0.25 every time the app,
MakcuM [25]

Answer: 1520 downloaded's

Step-by-step explanation:

$0.25 divided by $380 = 1520

1520 x $0.25 = $380

5 0
2 years ago
) Use the Laplace transform to solve the following initial value problem: y′′−6y′+9y=0y(0)=4,y′(0)=2 Using Y for the Laplace tra
artcher [175]

Answer:

y(t)=2e^{3t}(2-5t)

Step-by-step explanation:

Let Y(s) be the Laplace transform Y=L{y(t)} of y(t)

Applying the Laplace transform to both sides of the differential equation and using the linearity of the transform, we get

L{y'' - 6y' + 9y} = L{0} = 0

(*) L{y''} - 6L{y'} + 9L{y} = 0 ; y(0)=4, y′(0)=2  

Using the theorem of the Laplace transform for derivatives, we know that:

\large\bf L\left\{y''\right\}=s^2Y(s)-sy(0)-y'(0)\\\\L\left\{y'\right\}=sY(s)-y(0)

Replacing the initial values y(0)=4, y′(0)=2 we obtain

\large\bf L\left\{y''\right\}=s^2Y(s)-4s-2\\\\L\left\{y'\right\}=sY(s)-4

and our differential equation (*) gets transformed in the algebraic equation

\large\bf s^2Y(s)-4s-2-6(sY(s)-4)+9Y(s)=0

Solving for Y(s) we get

\large\bf s^2Y(s)-4s-2-6(sY(s)-4)+9Y(s)=0\Rightarrow (s^2-6s+9)Y(s)-4s+22=0\Rightarrow\\\\\Rightarrow Y(s)=\frac{4s-22}{s^2-6s+9}

Now, we brake down the rational expression of Y(s) into partial fractions

\large\bf \frac{4s-22}{s^2-6s+9}=\frac{4s-22}{(s-3)^2}=\frac{A}{s-3}+\frac{B}{(s-3)^2}

The numerator of the addition at the right must be equal to 4s-22, so

A(s - 3) + B = 4s - 22

As - 3A + B = 4s - 22

we deduct from here  

A = 4 and -3A + B = -22, so

A = 4 and B = -22 + 12 = -10

It means that

\large\bf \frac{4s-22}{s^2-6s+9}=\frac{4}{s-3}-\frac{10}{(s-3)^2}

and

\large\bf Y(s)=\frac{4}{s-3}-\frac{10}{(s-3)^2}

By taking the inverse Laplace transform on both sides and using the linearity of the inverse:

\large\bf y(t)=L^{-1}\left\{Y(s)\right\}=4L^{-1}\left\{\frac{1}{s-3}\right\}-10L^{-1}\left\{\frac{1}{(s-3)^2}\right\}

we know that

\large\bf L^{-1}\left\{\frac{1}{s-3}\right\}=e^{3t}

and for the first translation property of the inverse Laplace transform

\large\bf L^{-1}\left\{\frac{1}{(s-3)^2}\right\}=e^{3t}L^{-1}\left\{\frac{1}{s^2}\right\}=e^{3t}t=te^{3t}

and the solution of our differential equation is

\large\bf y(t)=L^{-1}\left\{Y(s)\right\}=4L^{-1}\left\{\frac{1}{s-3}\right\}-10L^{-1}\left\{\frac{1}{(s-3)^2}\right\}=\\\\4e^{3t}-10te^{3t}=2e^{3t}(2-5t)\\\\\boxed{y(t)=2e^{3t}(2-5t)}

5 0
3 years ago
Emily gad a decorative box that is shaped like a cube with a height of 5 inches. What’s the surface area of the box?
lina2011 [118]

times the length by width and you will get your answer use a calculator that will be the answer

4 0
3 years ago
Other questions:
  • State one method by which you can recognize a perfect square trinomial.
    8·1 answer
  • The surface area of a triangular pyramid is 1836 ft2.
    6·1 answer
  • Expanding brackets (x + 3)(x + 10)
    9·2 answers
  • It costs a clothing company $463.45 to make 169 T-shirts.
    5·1 answer
  • What is the length of AB??
    5·1 answer
  • *look at the image*<br><br><br> whoever answers will get brainliest
    10·1 answer
  • Which addition equation matches the number line
    10·1 answer
  • What is the length of the interior diagonal, d, rounded to the nearest hundredth cm​
    6·1 answer
  • X+a=b please urgent answer​
    6·1 answer
  • Help me plsssss?!?!?!????!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!