D. 23/30 This is saying that out of 30 days, 23 of them she saw a ladybug, which means that each day, there is a 23/30 chance of finding one.
To find the reciprocal of a fraction, you just need to "flip" it. To check your work, you multiply the fraction and the reciprocal to get 1.
the reciprocal if 2/3 is 3/2
The answer is B
Answer:
Smaller Figure 3
Larger Figure 5
Scale factor = 15/25 = 3/5
The answer is x= -5 ...explained... -2x + 5 -35x= 190...-37x +5 = 190 ... now subtract 190-5 = 185... divide 185 by - 37 and get -5
Now, the cosecant of θ is -6, or namely -6/1.
however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.
we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now

recall that

therefore, let's just plug that on the remaining ones,

now, let's rationalize the denominator on tangent and secant,