6. Why is it helpful to have both lines on the same graph? (2 points)
2 answers:
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If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;
Where x is the length of the string in feet.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;
Where x is the length of the string in feet.
The box provides some examples of how<em> exponents can be used to shorten repeated multiplication</em>. The first, third, and fourth boxes all show how the repeated multiplication of 2, 3, and 5 can all be abbreviated as and
. The only expression which doesn't belong is
, because it's showing how repeated <em>addition</em> can be shortened to <em>multiplication</em>.