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2 years ago

I need help with this question pls

Mathematics

1 answer:

Andrej [43]2 years ago

7 0

Answer:61.8°

Step-by-step explanation:

Length of arc=(theta)/360 x 2 x π x radius

9.7=(theta)/360 x 2 x 3.14 x 9

9.7=56.52(theta)/360

cross multiply

9.7 x 360=56.52(theta)

3492=56.52(theta)

Divide both sides by 56.52

3492/56.52=56.52(theta)/56.52

61.8=theta

theta=61.8°

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2 years ago

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butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

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First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

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7 months ago