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
.
:)
The amount of interest Molly will earn after 5 years on a deposit of compounded annually over 5 years is
First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.
The future value of an investment that is compounded annually is given by
where
Substituting the available values into the formula and solving
The interest Molly will earn after 5 years is
Therefore, the amount of interest Molly will earn after 5 years on a deposit of compounded annually over 5 years is
Learn more about compound interest here: brainly.com/question/21270833
Answer:
6 hours
Step-by-step explanation:
Suppose Madison spent x hours on her social project,
then the number of hours spent on other project will be 1/3 of x=x/3
Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e
x + x/3 = 4x/3
It si given that this is 8 hours, therefore
4x/3=8
Multiplying both sides by 3:
4x=24
Dividing across board by 4:
x= 6 hours
Answer:
SAS
Step-by-step explanation:
Hope this helps :)