1/216 don’t forget to simplify
Answer:
x = 1
Step-by-step explanation:
Given
8x - 2(x - 7) = 20 ← distribute parenthesis on left side
8x - 2x + 14 = 20, that is
6x + 14 = 20 ( subtract 14 from both sides )
6x = 6 ( divide both sides by 6 )
x = 1
The number is 90.
<h3>
What is the number?</h3>
Percentage can be described as the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %. Percentages are a measure of frequency.
When the number is decreased, the number becomes smaller. This means that the original number is larger than 81.
The equation that can be used to represent the information in the question is:
(1 - percentage decrease) initial number = 81
(1 - 0.1)x = 81
0.9x = 81
x = 81 / 0.9
x = 90
To learn more about percentages, please check: brainly.com/question/25764815
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Step-by-step explanation:
tan⁻¹(x) = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ⁺¹ / (2n+1)
tan⁻¹(1/√3) = ∑ₙ₌₀°° (-1)ⁿ (1/√3)²ⁿ⁺¹ / (2n+1)
tan⁻¹(1/√3) = ∑ₙ₌₀°° (-1)ⁿ (1/√3) (1/√3)²ⁿ / (2n+1)
tan⁻¹(1/√3) = (1/√3) ∑ₙ₌₀°° (-1)ⁿ (1/3)ⁿ / (2n+1)
π/6 = (1/√3) ∑ₙ₌₀°° (-1)ⁿ (1/3)ⁿ / (2n+1)
π = (6/√3) ∑ₙ₌₀°° (-1)ⁿ (1/3)ⁿ / (2n+1)
π = 2√3 ∑ₙ₌₀°° (-1)ⁿ / (3ⁿ (2n+1))
To find the perimeter, you would add all the sides. Because we know the perimeter, we can represent this as an equation that needs solved.
362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
-2 -2
<u>360</u> = <u>6x</u>, divide both sides by 6
6 6
x = 60 feet
side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet
check your work: 60 + 120 + 182 = 362 feet