The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.
<h3>How to calculate the length?</h3>
From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.
The length will be calculated thus:
Cos 35° = 153/AC.
AC = 153/cos 35°
AC = 153/0.819
AC = 186.78 feet.
Therefore, the length is 186.78 feet.
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The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.
<h3>What is a factorization?</h3>
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ 18x³ + 6x²y - 9x² - 3xy
Then the factor of the polynomial will be
⇒ 18x³ + 6x²y - 9x² - 3xy
⇒ 3x(6x² - 2xy - 3x - y)
More about the factorization link is given below.
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According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.
x is 3/2. Replace this value in both expression to find the measure of each angle.
The measure of these angles is 47°
Answer:
29/18
Step-by-step explanation:
-11/6 + m = -2/9
Add 11/6 to both sides.
+11/6 -11/6 + m = -2/9 +11/6
m=29/18
