Answer:
Use the fact that sin(x) = opp/hyp and tan(x) = opp/adj
where opp=opposite, hyp=hypotenuse, adj=adjacent and recall sin(30)=1/2 and tan(30) = 1/sqrt(3)
sin(30) = 1/2 = 17/y
y = 17(2) = 34
tan(30) = 1/sqrt(3) = 17/x
x = 17sqrt(3)
So the answer is (d)
Note that you could have also use the Pythagorean theorem to find x instead of using tan(30).
Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
- y - (-8) = 3(x - (-2))
- y + 8 = 3(x + 2)
- y + 8 = 3x + 6
- y = 3x - 2
The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
Answer: 13
Step-by-step explanation:
You'll set the two expressions equal to 95.
So 2x+119=95
Then 2x=-24
Finally x=-12
