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larisa [96]
3 years ago
12

I need to know how long arc BC is

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

Arc length of arc BC is 6.98 units or roughly 7  units.

Step-by-step explanation:

First recall that the formula for the circumference of a circle is C = 2πr, where r is the radius.  Here the radius is 4 units. so the circumference of the (entire) circle is C = 2π(4 units) = 8π units.

The central angle for the arc shown in yellow is 100 degrees.  The length of this arc is a fraction of C as found earlier:

100

------- * 8π units = 800π/360 units, or 6.98 units (about 7 units).

360

Arc length of arc BC is 6.98 units or roughly 7  units.

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natka813 [3]

Answer:

8*64=512

64*8=512

512/64=8

64/512=8

3 0
4 years ago
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spayn [35]
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6 0
3 years ago
If the mass is 10 the volume is
AysviL [449]
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4 0
3 years ago
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
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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
Use number sense to solve the equation. 3x + 14 = 23 A. 3 B. 6 C. 9 D. 4
Artist 52 [7]

Answer:

x=3

Step-by-step explanation:

3x + 14 = 23

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x=9/3

x=3

option A is the correct answer

5 0
3 years ago
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