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lisov135 [29]
3 years ago
14

Find b and c. show your work for brainliest please​

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

tan30° =\frac{5}{b}

\frac{1}{√3}=\frac{5}{b}

b=5×√3

<h3>b=5√3</h3>

sin30°=\frac{5}{c}

\frac{1}{2}=\frac{5}{c}

c=\frac{5}{2}

<h3>c=2.5</h3>

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10-d = -34-5d solve this equation
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<h3><u>Explanation</u></h3>
  • Given the equation.

10 - d =  - 34 - 5d

  • Solve the equation for d-term.

Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.

10 + 34 =  - 5d + d \\ 44 =  - 4d \\  \frac{44}{ - 4}  = d \\  - 11 = d

  • Answer Check

Substitute d = -11 in the equation.

10 - ( - 11) =  - 34 - 5( - 11) \\ 10 + 11 =  - 34 + 55 \\ 21 = 21

The equation is true for d = -11.

<h3><u>Answer</u></h3>

<u>\large \boxed{d =  - 11}</u>

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