I'd greatly appreciate if someone could explain this problem:

if sinθ < 0 and tanθ > 0 then:

a. 270° < θ < 360°
b. 90° < θ < 180°
c. 0° < θ < 90°
d. 180° < θ < 270°

i know the answer is d, but can someone why?

The function sine, cosine and tangent have signs accord to the quadrant.

In the first quadratn all the trigonometric functions are positive.

In the second quadrant sine is negative,  cosine is positive and tangent is negative

In the third quadrant, sine is negative, cosine is negative and tangent is positive. This is the case indicated by sinΘ < 0 and tanΘ > 0

What are the angles In the third quadrant? 180° < Θ < 270°.

That is the justification.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.

The answer is c. 7 (i think) i’m almost sure though