The acronym for trigs is SOH CAH TOA
Sine means opposite divided by hypotenuse
So, let us find sine.
The opposie side is 16
The hypotenuse is 17.46
Use your calculator
The answer is ≈ 0.9164
Total number of muffins = 12 muffins
Total number of people sharing muffin = 8
Muffins each person will receive = Total number of muffins
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People sharing muffins
= 12/8
= 1 1/2 OR 1.5 muffins
Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
The answer is 720 mph, since we make time the x and distance y. We use the slope formula (y2 - y1)/(x2 - x1)
(179-23)/(17-4)
156 miles/13 mins
12 miles per min
Since the answer is in hours instead of minutes, we multiply 12 by 60 to get 720 mph