I think the answer is 513
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).
Answer:
- B = 58°
- a = 6.6896
- c = 1.5915
Step-by-step explanation:
Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...
B = 180° -A -C = 180° -109° -13° = 58°
Using this information and the Law of Sines, you can find the remaining sides.
a/sin(A) = b/sin(B) = c/sin(C)
__
Then the missing sides are ...
a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896
c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915
The missing measures are ...
B = 58°
a = 6.6896
c = 1.5915
This is crazy. If I'm reading this right (I'm not sure why there are spaces put in between some of those numbers like there is), I'm getting that the answer is
-1079.242293. But again, those spaces are throwing me off. I eliminated the spaces between the numbers while I was performing the operations in order.
Answer:
There are
different ways to choose 4 screws such that 2 have a Phillips head and 2 have a slotted head.
Step-by-step explanation:
If 4 screws must be chosen so that 2 have a Phillips head and 2 have a slotted head, then you have to choose 2 screws with a Phillips head from 4 screws with a Phillips head and 2 screws with a slotted head from 4 screws with a slotted head.
You can choose 2 screws with a Phillips head from 4 screws with a Phillips head in
different ways.
You can choose 2 screws with a slotted head from 4 screws with a slotted head in
different ways.
In total there are
different ways to choose 4 screws such that 2 have a Phillips head and 2 have a slotted head.