In Danny’s classroom there are red chairs, yellow chairs, and blue chairs. There are 7 red chairs. There are 2 times as many yel
1 answer:
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Answer:
Perimeter is irrational
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Step-by-step explanation:
<em>The attachment is missing but the question is still answerable</em>
Given
Required
Determine if the Perimeter is rational or not
First, we need to determine the sides of the square;
Substitute
Take Square root of both sides
The perimeter of a square is calculated as:
<em>Because the value of </em><em>perimeter </em><em>can't be gotten by dividing two integers, then </em><em>perimeter is irrational</em>
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
