Corresponding angles are congruent which angle corresponds with <4?
1 answer:
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<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>x on the interval [0, 2π)
<h3>Solution</h3>Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}
The perimeter of square RSTV is: 17.88 units
Further explanation:
As the given figure is a square, all of its sides will be equal. So we have to find one side to find the perimeter.
Given
R(-1,5), S(-3,1), T(-7,3), and V(-5,7)
The distance formula will be used to find the side
Let x be one side of square
Let P be the perimeter of square
P= 4x
P=4*4.47
=17.88 units
The perimeter of square RSTV is: 17.88 units
Keywords: Perimeter, Distance Formula
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