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rodikova [14]
3 years ago
10

Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of 70.

Mathematics
1 answer:
rewona [7]3 years ago
6 0
If we need to choose the closest answer from the above given ones it is 6471.

SOLUTION:
Diameter(d)= 8
Radius(r)= d/2=8/2 =4,,
Height of cylinder (h)= 12


So,
Volume of cylinder = Pi r^2*h
=22/7 * 4^2 * 12
=4224/7
=603.42,,
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Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0
STALIN [3.7K]

\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0

This ODE has characteristic equation

r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)

=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0

which has roots at r=1,-1\pm i. Then the characteristic solution to the ODE is

u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}

\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}

6 0
3 years ago
Parallelogram RSTU is rotated 180° clockwise
julia-pushkina [17]

Answer:

Two pairs of parallel sides

Step-by-step explanation:

The given transformation performed on parallelogram RSTU = 180° clockwise rotation

Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the the shape and size of the image R'S'T'U'

Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.

4 0
3 years ago
Seven times a number minus the number is -48. Find the number.
irinina [24]
The answer is -8 I believe.

To put this into an equation, we get 7x-x=-48. This is equal to 6x=-48. When we divide we get -8.
8 0
3 years ago
Read 2 more answers
Mai is putting money into a savings account. She starts with $450 in the savings account, and each week she adds $40.
enot [183]

Answer:

S = 40w + 450

Step-by-step explanation:

6 0
2 years ago
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Solve for A, need this done in under a half hour please ;-;
jasenka [17]

Answer:

x=30, and angle A equals 132°.

Step-by-step explanation:

Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of <em>x</em>, you'd need to set up your equation like this:

5x-18°=3x+42°

You would need to solve for <em>x</em>, which should equal to 30.

Once you get your <em>x</em>, you need to plug it in into the equation of angle A, which is 5x-18°:

5(30)-18°

150-18°

Angle A = 132°.

3 0
3 years ago
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