Explain how solving an equation with several variables is similar to and different from the process of solving equations in one
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Here a right angled triangle given. one angle with measure given. The three sides of the triangle given 4, x, y.
We have to find, the sides which is opposite, adjacent and hypotenuse here.
We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.
The side adjacent to the given angle is x. So, here adjacent = x.
The opposite side is opposite to the given angle. So, opposite = 4.
Now we will use SOHCAHTOA that is , where x is the angle given.
To get x, we will use tan. So we will get,
We know the value of . By substituting the value we will get,
To find x, we have to move x here to the left side by multiplying it to both sides. We will get,
So we have got the value of x here.
Now to find y, we will use the trigonometric function sine.
we know the value of
By substituting the value we will get,
By cross multiplying we will get,
We will get y by dividing both sides by , we will get,
Now we will rationalize the denominator by multiplying to the top and bottom.
So we have got the required values of x and y.
There are ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's
way of doing that.
So we have
The last expression has a more compact form in terms of the so-called multinomial coefficient,