Using a trigonometric identity, the cosine of the angle is given as follows:
<h3>What is the trigonometric identity that relates the sine and the cosine of an angle?</h3>
It is given by:
In this problem, the sine is:
Then:
On quadrant I, the cosine is positive, hence:
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Answer:
9 pieces of candy.
Step-by-step explanation:
The information about how many boys there are is irrelevant, so we can just ignore that.
The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.
So, to solve, we just do 396 / 44 = 9.
Therefore, each student will get 9 pieces of candy.
Answer:
The center of this circle is at . The radius of this circle is .
Step-by-step explanation:
A circle with center and a radius of () could be expressed as:
.
(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)
Rearrange this equation using binomial expansion to match the equation given in this question:
.
.
The equation in this question is:
.
Match up the coefficients of and in the two equations.:
- Coefficient of : .
- Coefficient of : .
Thus, and .
The constants of the two equations should also match up:
.
Substitute in as well as and solve for :
.
(since .)
Therefore, the center of this circle is . The radius of this circle is .
ANSWER
EXPLANATION
It was given that,a bottle of la belle bœuf contains 3/8 ounces of perfume.
We want to find how many ounces of perfume would 4 1/2 bottles contain.
If 1 bottle contains 3/8 ounces;
Then 4½ bottles should contain more ounces.
If more less divides.
4½ bottles contain
=1.6875 ounces.