In the half-angle formula for sine and cosine, notice that a plus/minus sign appears in front of each radical (square root). Whether your answer is positive or negative depends on which quadrant the new angle (the half angle) is in
Answer:
The exact value of sin A is opp/hyp = -12/13
Step-by-step explanation:
If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive. Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2, Therefore y = √(hyp^2 - adj^2), or
y = -√(13^2 - 25) = -√144 = 12.
The exact value of sin A is opp/hyp = -12/13
Answer:
Let us assume the total number of students surveyed = x
Then
Number of students preferring red = x/4
Number of students preferring blue = x/8
Then
Number of students remaining = x - [(x/4) + (x/8)]
=x - [(2x + x)/8)
= x - (3x/8)
= (8x - 3x)/8
= 5x/8
Number of students preferring the color green = (3/5) * (5x/8)
= 3x/8
We also know that the total number of students preferring the color green is 15
So
3x/8 = 15
3x = 15 * 8
x = (15 * 8)/3
= 5 * 8
= 40
So in total 40 students were surveyed. I hope the procedure is clear to you.
Step-by-step explanation:
Answer:
45 sq.units
Step-by-step explanation:
to get area of a triangle, it would be base*height/2, so 15*6/2 would be 90/2, which ends up being 45, which is the answer.
Answer:
where is the question at
Step-by-step explanation:
