Rosario's average speed on her way home is 36.66 miles per hour.
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Given that each week, Rosario drives to an ice-skating rink that is 60 miles away, and the round-trip takes 2.75 hours, to determine, if she averages 55 miles per hour on his way to the rink, what is her average speed to return to his house, the following calculation must be made:
- 55 = 1
- 60 = X
- 60 / 55 = X
- 1.09 = X
- 2.75 - 1.09 = 1.66
- 55 = 1
- 27.5 = 2
- 55 / 3 x 2 = 36.66
Therefore, Rosario's average speed on her way home is 36.66 miles per hour.
Learn more about averages in brainly.com/question/12322912
Answer: a = 40, b = 50, c = 115
Solution:
a = 40 (the vertical angles are equal)
b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)
c = 180 - 65 = 115 (the linear theorem)
Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
Answer:
B
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