So so what should we multiply 3/4 by to get one? we can multiply it by 4/3. so we multiply 3/4 by 4/3 and multiply 3/8 by 4/3. so thats 12/24. which is the same as 1/2. so the sloth moves 1/2 of a foot a minute
Problem 1
<h3>Answers: n = 3 or n = 5</h3>
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Work Shown:

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Problem 2
<h3>Answers: c = 1 or c = -2/3</h3>
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Work Shown:

<span>(8x+7)/6 + (3-2x)/4-(5x-2)/2=32
2(8x+7) + 3(3-2x) - 6(5x-2) = 384
16x + 14 + 9 - 6x - 30x + 12 = 384
-20x + 35 = 384
-20x = 349
x = -17.45
</span>
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression
is equivalent to the <em>trigonometric</em> expression
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression
is equal to the <em>trigonometric</em> expression
. Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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