Let's calculate the hypotenuse of this right triangle:
(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.
a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823
b) If Ф is facing the smallest side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705
Answer: x=5.6
Step-by-step explanation:
<span>The value of (f/g)(x) is determined by dividing the polynomial f(x) by the polynomial g(x) which is only equal to -x2. If we divide the first term of f(x), x4, with -x2, we arrived with an answer of -x2. For the second term, we arrive with the answer x. Similarly for the third term, we derive with an answer that is -1.
Combining all the answers, we have -x2 + x - 1.</span>
Answer:
y = 1/3x + 8
Step-by-step explanation:
*perpendicular means the reciprocal slope of the given line
m = 1/3
y = 1/3x + b
*plug in points with the point-slope equation
10 = 1/3(6) + b
10 = 2 + b
b = 8
*now plug everything into the equation
y = 1/3x + 8