Answer:
5√3 / 2
Step-by-step explanation:
tan 30 = ( 5 / 2 ) / y
1 / √3 = 5 / 2y
2y = 5√3
y = 5√3 / 2
Answer:
is the required fraction.
Step-by-step explanation:
We have been given that 23 high school ball players plays college ball.
And 35 college players plays professional ball
So we need to find fraction of high school players professional ball
is the required fraction.
Answer:
1)
16=25%
x=100%
25x=1600
x=64
2)
6300/1260 * 100 = 20
100 - 20 = 80%
3)
Total: 40
Set desingers: 16
16/40 = 40%
4)
500*22%=110
500-110=390
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Answer:
(0, -3)
Step-by-step explanation:
Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."
Rearranging x^2+y^2+6y-72=0, we get x^2 + y^2 + 6y = 72.
x^2 is already a perfect square. Focus on rewriting y^2 + 6y as the square of a binomial: y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:
x^2 + y^2 + 6y + 9 - 9 = 72:
x^2 + (y + 3)^2 = 81
Comparing this to the standard equation of a circle with center at (h, k) and radius r,
(x - h)^2 + (y - k)^2 = r^2. Then h = 0, k = -3 and r = 9.
The center of the circle is (h, k), or (0, -3).
Divide both sides by negative two
the answer is x = -1