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andrew11 [14]
3 years ago
5

4

Mathematics
1 answer:
Nana76 [90]3 years ago
8 0

Answer:

154838455387+6785+++56

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A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. wha
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The radius of this circle is (B) 4.9 cm.

<h3>To find the radius of the circle:</h3>

To solve this problem, we need to, first of all, convert the angle from radians to degrees.

data;

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  • angle = 7/6π rads
  • π= 3.14

\frac{7\pi }{6rads} =210^{0}

Length of an Arc:

The formula for the length of an arc is given:

l_{arc} = θ/360 × 2\pi r

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Complete question

A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.

(A) 3.7 cm

(B) 4.9 cm

(C) 14.3 cm

(D) 15.4 cm

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Find the slope of the line.
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Answer:

\displaystyle m=1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-4, -1)

Point (1, 4)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute [SF]:                    \displaystyle m=\frac{4+1}{1+4}
  2. Add:                                     \displaystyle m=\frac{5}{5}
  3. Divide:                                 \displaystyle m=1
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