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notka56 [123]
2 years ago
8

Part of a school’s stage is shaped like a sector of a circle, as shown below. The students do not yet know the exact dimensions

of this part of the stage, but they want to identify as many relationships as possible so that they will be able to decorate this part of the stage when the dimensions are available.

Mathematics
1 answer:
Natasha2012 [34]2 years ago
8 0

Answer:

  • 68.78° or 0.6 rad

Step-by-step explanation:

<u>Use the formula:</u>

  • degrees/360° = L/circumference
  • or
  • radians/π = L/circumference

<u>As per given:</u>

l = 12 feet, r = 10 feet

  • degrees = 360°*12/(2*3.14*10) = 68.78°
  • radians = π rad *12/(2π*10) = 0.6 rad
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OLEGan [10]

Answer:

t = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define equation</u>

t + t + t = 12

<u>Step 2: Solve for </u><em><u>t</u></em>

  1. Combine like terms (t):                    3t = 12
  2. Divide 3 on both sides:                   t = 4

<u>Step 3: Check</u>

<em>Plug in t into the original equation to verify it's a solution.</em>

  1. Substitute in <em>t</em>:                    4 + 4 + 4 = 12
  2. Add:                                    8 + 4 = 12
  3. Add:                                    12 = 12

Here we see that 12 does indeed equal 12.

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116 cm²

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