The ratio is 10 to 18, therefore 10 * nr of students = 18 * nr of girls.
So the number of girls = nr of students * 10 / 18 which is indeed 150.
-q/-7≥-1
q/7≥-1
q≥-1*7
q≥-7
Solution: q≥-7 or q∈[-7,+∞).
Answer:
Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:
So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:
And that:
Answer:
(x+9)/(8x+4)
Step-by-step explanation:
Answer:
−4<x<−2
Step-by-step explanation:
8 > 4 − x > 6
8 > −x + 4 > 6
8 + −4 > −x + 4 + −4 > 6 + −4
4 > −x > 2
Since x is negative we need to divide everything by -1 which gives us...
−4 < x < −2