Answer: 9 and 1/3
Step-by-step explanation: To write an improper fraction as a mixed number, we divide the denominator into the numerator.
In this case, we divide 3 into 28.
3 divides into 28 nine times with a remainder of 1.
In other words, 9 wholes and 1 out of 3.
Answer:
Converting the equation into completing the square method we get:
Step-by-step explanation:
we are given quadratic equation:
And we need to convert it into completing the square method.
Completing the square method is of form:
Looking at the given equation
We have a = x
then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20
So, 20x in form of 2ab can be written as: 2(x)(10)
So, we need to add and subtract (10)^2 on both sides
So, converting the equation into completing the square method we get:
Yes you are correct it is a transformation and then a rotation
Ah...Trigonometry is fun!
The law of sines states:
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that
We then plug in our given values to find C
Solving, we get 0.8557316387.
We're not done yet!We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=
58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation
.
:)