Angle-A and angle-B are alternate interior angles with parallel lines cut by a transversal. That tells you that the two angles are EQUAL. So you can write
8x + 78 = 2x + 114 ,
and it should all be smooth sailing for you from that point.
Answer:
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
Step-by-step explanation:
So hmmm check the picture below
so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both
in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3
now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"
because the parabola opens downwards, "p" is negative, and thus, -2
now, let's plug all those fellows in then
You would use the equation y = A(1+r)^t
A = Original amount = 200
r = interest rate = 0.042 (when converted from percent to decimal)
t = time = x
Plug them in and you get the model: y = 200(1+0.042)^x
or just simplify the parentheses to (1.042)