The answer to the question asked, should be 54!
I hope this helps
Answer:

Step-by-step explanation:
Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

Let <em>a</em> be the adjacent side and <em>b</em> be the opposite side. <em>c</em> will be the hypotenuse.
Substitute:

Solve for <em>b: </em>
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So, the opposite side measures 12.
Then sine will be:

Answer:
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
Step-by-step explanation:
Quadrant :
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.
Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.
Numbering is done in Anticlockwise
Quadrant I - x-coordinate is Positive , y-coordinate is Positive.
Quadrant II - x-coordinate is Negative , y-coordinate is Positive.
Quadrant III - x-coordinate is Negative , y-coordinate is Negative.
Quadrant IV - x-coordinate is Positive , y-coordinate is Negative.
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
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Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate
Explanation:
60 / 3 = 20
I hope this helped!
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- Zack Slocum
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Answer:
5) 9
6) 11 2/3
Step-by-step explanation:
Use the Pythagorean Theorem.
5) a²+5.6²=10.6²
a²+31.36=112.36
a²=81
a=√81
a=9
6) a²+4²=12.3333²
a²+16=152.11111
a²=152.11111-16
a²=136.1111
a=√136.1111=11.6666