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Greeley [361]
3 years ago
8

Jake traces a regular octagon on his paper. Each side measures 6 centimeters. He also traces a regular decagon on his paper. Eac

h side of the decagon measures 4 centimeters. Which shape has a greater perimeter.
Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

10centimers

Step-by-step explanation:

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How to find the value of the combination? Show your work! Thansk!
elena-14-01-66 [18.8K]

Answer:

A

Step-by-step explanation:

Using the definition

nC_{r} = \frac{n!}{r!(n-r)!}

where n! = n(n - 1)(n - 2).... × 3 × 2 × 1

Then evaluating numerator and denominator

10C_{3}

= \frac{10!}{3!(7!)}

= \frac{10(9)(8)(7)(6)(5)(4)(3)(2)(1)}{3(2)(1)(7(6)(5)(4)(3)(2)(1)}

Cancel 7(6)(5)(4)(3)(2)(1) on numerator/ denominator, leaving

= \frac{10(9)(8)}{3(2)} = \frac{720}{6} = 120

-------------------------------------------------------------------------------------

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= \frac{6!}{4!(2!)}

= \frac{6(5)(4)(3)(2)(1)}{4(3)(2)(1)(2)}

Cancel 4(3)(2)(1) on numerator/ denominator, leaving

\frac{6(5)}{2} = \frac{30}{2} = 15

-------------------------------------------------------------------------------------

Dividing numerator by denominator gives

\frac{120}{15} = 8 → A

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Step-by-step explanation:

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