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lozanna [386]
3 years ago
9

Use Substitution to solve the system of equations. c+b=12 2b-3c=1 1/2

Mathematics
1 answer:
Reptile [31]3 years ago
7 0
C = -b + 12
2b - 3c = 1 1/2

2b -3(-b+12) = 1 1/2
2b + 3b -36 = 1 1/2
5b = 37 1/2
b = 37.5/5
b = 7.5

c + 7.5 = 12
c = 4.5

b = 7.5   c = 4.5

Hope this helps :)

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Stolb23 [73]

The conversion is

x =  r \cos \theta

y = r \sin \theta

So

\dfrac y x = \tan \theta

We're given the fairly unusual

\theta = -\frac 5 2

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.

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maxonik [38]

Answer:

42.5\:\mathrm{m^2}

Step-by-step explanation:

The area of a sector with measure \theta in degrees is given by r^2\pi\cdot\frac{\theta}{360}, where r is the radius of the sector.

What we're given:

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Solving, we get:

A_{sector}=5^2\pi\cdot \frac{195}{360}=13.5416666667\pi=42.5424005174\approx \boxed{42.5\:\mathrm{m^2}}

*Notes:

  • units should be in square meters (area)
  • the problem does not say whether to round or leave answers in term of pi, so you may need to adjust the answer depending on what your teacher specifically wants
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Read 2 more answers
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