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).
Equation of a line is:
y=mx+C
------------------------
We're looking for m as m stands for gradient.
2x-6y=0 (Divide all terms by 2)
x-3y=0
3y=x
y=1/3x
y=1/3x+0
Therefore m=1/3, C=0.
Answer:
$1440
Step-by-step explanation:
36% of $4,000 is $1440
Answer:
The answer to the first question is 2.449489743
Step-by-step explanation:
And I will sub to the channel in a min...
Area of the square: A s = s².
Area of the circle: A c = ( 1/2 s )² π = 1/4 s² · 3.14 = 0.785 s²
Area inside the square but outside the circle: s² - 0.785 s² = 0.215 s²
The ratio:
0.215 s² : s² = 0.215 : 1 = 215 : 1000 = 43 : 200 .
