An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Color(green)(sqrt3 / 2) sin ((2pi) / 3) = sin (pi - ((2pi)/3) )= sin ((3pi - 2pi) / 3) = sin (pi)/3 sin ((pi )/3) = sin 60 = sqrt3 / 2.
(-3/5)/7/6
= -3/5 x 6/7
= -18/35
The chance to win = 1 : 6³ = 1 / 216
To win $500, the player needs to pay $216 on average.
500/ 216 = 2.31
$2.31 win and $1 cost per game gives $1.31 net win.
Answer:
x=63.25
Step-by-step explanation:
Hi there!
We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x
we need to find the value of x
Let's use trigonometry to do it
Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle
Recall that tangent is
in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)
so tan(49)=
plug tan(49) into your calculator; remember to have the calculator on degree mode
tan(49)≈1.15 (rounded to the nearest hundredth)
so that means:
1.15=
multiply both sides by 55 to clear the fraction
63.25=x
Hope this helps!