The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...
... c² = a² + b² -2ab·cos(C)
Then
... cos(C) = (a² +b² -c²)/(2ab)
We don't actually need the angle. We only need to know the sign of the cosine.
... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°
The sail has the shape of an obtuse triangle.
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A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.
This cannot be the question. You definitely read this wrong. If p(notA)= .75 then P(not A) = .75...
If the question is find P(A), however, then the use the compliment rule
1- P(not A) = P(A)
1-.75 = .25
Starting from the half circle, the radius is 2, (from the other side of the figure) and using that, 2 x 2 = 4 x 3.14 (or pi) = 12.56. But, it's a half circle. So, 12.56 / 2 = 6.28.
One in the bag!
Going left, we have a rectangle. b x h = a. 6 x 8 = 48.
Done. (by the way, that's the enclosed space)
Finally, the triangle. The triangle's area is found by 1/2 x b x h. 1/2 x 2 x 6 = 6.
The full area of the figure is 60.28.
Hope this helped.
By definition, the linear velocity is given by:
Where,
w: angular speed
r: radius
We have that the radius of the wheel is
Where,
d: diameter of the wheel
substituting values:
Then, we have the following conversions:
1 revolution = 2π radians
1 minute = 60 seconds
Therefore, the angular velocity in radians per second is:
Substituting values we have:
Answer:
your linear velocity is:
a. 0.62 feet per second
