adoringarreaga adoringarreaga

13-06-2022
Mathematics

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What is the length of side x? Round your answer to the nearest whole number.

56 centimeters
54 centimeters
55 centimeters
57 centimeters

What is the length of side x Round your answer to the nearest whole number 56 centimeters 54 centimeters 55 centimeters 57 centimeters class=

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jimrgrant1 jimrgrant1

13-06-2022

Answer:

x ≈ 54 cm

Step-by-step explanation:

using the Cosine rule in the triangle

x² = 55² + 51² - (2 × 55 × 51 × cos61° )

= 3025 + 2601 - 5610cos61°

= 5626 - 5610cos61°

x = [tex]\sqrt{5626-5610cos61}[/tex] ≈ 54 cm ( to the nearest whole number )

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