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ira [324]
3 years ago
12

Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Member

s pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?
Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
135 + 2x
11x

135 + 30 (or 2 x 15) = 165
11 x 15 = 165

16 times.
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MrRissso [65]

To solve the problem we must know about Sine Rule.

<h3>What is Sine rule?</h3>

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

where

  • Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
  • Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
  • Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

The value of w is 4.0 cm.

Given to us

  • VW = 3.3 cm,
  • ∠U = 31°,
  • ∠W = 39°,
<h3>Using the sine law,</h3>

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

Substitute the values,

\dfrac{Sin\ W}{w} = \dfrac{Sin\ U}{VW}

\dfrac{Sin\ 39^o}{w}=\dfrac{Sin\ 31^o}{3.3}

w=\dfrac{(Sin\ 39^o) \times 3.3}{Sin\ 31^o}

w = 4.03224 cm ≈ 4.0 cm

Hence, the value of w is 4.0 cm.

Learn more about Sine Rule:

brainly.com/question/17289163

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2 years ago
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Step-by-step explanation:

Break down every term into prime factors. ...

Look for factors that appear in every single term to determine the GCF. ...

Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses. ...

Multiply out to simplify each term.

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Answer:

24

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Which of the ordered pairs in the form (x,y)is a solution of this equation?
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