The formula that you have accurately described in words
is written as
<em>F</em> = G m₁m₂/<em>R</em>²
This is Newton's law of universal gravitation. It gives the exact force
between any two masses in the universe, whether they're two planets,
a black hole and a comet, or a blade of grass in Canada and a hair on
the tail of a camel in Qatar.
That's not all this formula tells. If you know enough geometry and calculus,
and you know how to use them to give the formula a good massage, then
Newton's equation for gravity shows why there are orbits, why the orbits of
planets are shaped as they are, why all objects on the same planet fall to the
ground at the same speed, how to put up a satellite that can be used for TV,
and why comets, moons, TV satellites, and planets take the time that they take
to orbit whatever body they're orbiting.
The answer to x is 7 because 4 times 6 is 24 and 7 times 6 is 42
The answer is to your question is D,8
Answer:
Step-by-step explanation:
Another way of looking at this is
, which is a first quadrant angle where x is positive (it could also be a 4th quadrant angle, and it actually ends up there, but either way we'll get to where we're needing to be). The equation asks us to find the angle theta that has a cos of 1/2. We set up the reference angle in quadrant 1. Since cosine is by definition side adjacent over hypotenuse, we put the value of 1 along the x quadrant since that's the side adjacent to the reference angle, and then put the 2 along the hypotenuse of the right triangle that we form. That means that the side across from the reference angle is the square root of 3 which makes the reference angle a 60 degree angle, or pi/3.
So 
Now we need to find the csc of pi/3 - pi/2. Csc is the inverse of the sin ratio, so we can rewrite it in terms of sin:
which simplifies to
after finding a common denominator and subtracting.
is a 30 degree angle measured clockwise from the positive axis, putting that 30 degree angle into quadrant 4. On you calculator, you will find that 1 over the sin of -30 degrees is
-2.
Take the 4 thru the parentheses for -12y+8x then group like terms for -12y-6y=-18y 2x+8x=10x to give you a new expression of 10x-18y
