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leonid [27]
3 years ago
8

What is the formula for a triangular prism

Mathematics
1 answer:
natta225 [31]3 years ago
5 0
Hi!

The formula for a triangular prism's volume is
(V = volume, b = base, h = height, w = width)

V = 0.5 · b · h · w
^ the answer

Hope this helps! :)

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Give my answer in terms of pi and state it's units
Soloha48 [4]

Answer:

113.1 square mm

Step-by-step explanation:

A=πr2=π·62≈113.09734

3 0
3 years ago
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Find a particular solution to the nonhomogeneous differential equation y'' + 4 y = cos(2x) + sin(2x).
alukav5142 [94]
The characteristic solution follows from solving the characteristic equation,

r^2+4=0\implies r=\pm2i

so that

y_c=C_1\cos2x+C_2\sin2x

A guess for the particular solution may be a\cos2x+b\sin2x, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to

y_p=ax\cos2x+bx\sin2x

which has second derivative

{y_p}''=(-4ax+4b)\cos2x+(-4bx-4a)\sin2x

Substituting into the ODE, you have

y''+4y=\cos2x+\sin2x
\implies4b\cos2x-4a\sin2x=\cos2x+\sin2x
\implies\begin{cases}4b=1\\-4a=1\end{cases}\implies a=-\dfrac14,b=\dfrac14

Therefore the particular solution is

y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x

Note that you could have made a more precise guess of

y_p=(a_1x+a_0)\cos2x+(b_1x+b_0)\sin2x

but, of course, any solution of the form a_0\cos2x+b_0\sin2x is already accounted for within y_c.
6 0
3 years ago
What is the domain of the function y=-720t + 3600 ?
Colt1911 [192]

Answer:

We conclude that:

\mathrm{Domain\:of\:}\:-720t+3600\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Please also check the attached graph.

Step-by-step explanation:

Given

Given the function

y=-720t\:+\:3600

To determine

What is the domain of the function y=-720t + 3600

We know that the domain of the function is the set of input argument values for which the function is real and defined.

Given the function

y=-720t\:+\:3600

From the given function, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain of the function is

-\infty \:

Thus, we conclude that:

\mathrm{Domain\:of\:}\:-720t+3600\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Please also check the attached graph.

3 0
3 years ago
Helppp!! I literally am horrible at math
anygoal [31]

Exact Form:
x
=
0
,
−
9
√
3
9
√
2
x
=
0
,
-
3
9
2
9
Decimal Form:
x
=
0
,
−
1.04608191
…
x
=
0
,
-
1.04608191
…
6 0
3 years ago
3a-2b=14. 3a+2b=28<br>..​
GaryK [48]

Answer:

a = 7

b = 3 1/2

Step-by-step explanation:

if you add the equations together then the 'b' will zero out

6a = 42

a = 7

substitute 7 for 'a' to solve for 'b'

3(7) - 2b = 14

21 - 2b = 14

-2b = -7

b = 7/2 or 3 1/2

7 0
3 years ago
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