Answer:
1.) Tan C = 
2.) Sin Z =
or
if reduced
3.) Cos A = 
4.) Cos A = 
Step-by-step explanation:
Let's keep in mind that;
Sin = 
Cos = 
Tan = 
Hope this helps!
Answer:

Step-by-step explanation:
To complete the square, we first have to get our equation into
form.
First we add 16x to both sides:

And now we subtract 62 from both sides.

We now have to add
to both sides of the equation. b is 16, so this value becomes
.

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because
and
.

We can now take the square root of both sides.

We can now isolate x on one side by subtracting 8 from both sides.

So our solutions are
Hope this helped!
Answer:
Expanded form : 300,000 +80,000 +2000 +700 +6.
Step-by-step explanation:
Given : 382,706.
To find : Write this number in expanded form.
Solution : We have given 382,706.
We can see 3 is at hundred thousand place = 300,000
8 is at ten thousand place = 80,000.
2 is at thousand place = 2000.
7 is at hundred place = 700.
6 is at ones place = 6
Then
Expanded form : 300,000 +80,000 +2000 +700 +6.
Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.
Here you are giving only the amount they want to raise (namely profit times number of magazines sold), and here you are also giving Money they want to raise... So clarifying, the money they want to raise, should include the money they will spend on buying the magazines (there is no statement saying they found them, or were given the magazines, so a cost should be involved)
Now if they are only making the count of "Field trip costs X amount of money, and given we have to make a profit of $5.5, How many must we sell?" then the equation should be n=X/5.5
Should the story be, how much money must they raise to have a profit of 5.5 on each magazine and still have enough for the field trip, then you have a different equation which varies only in adding the cost of each magazine, either case, M should be defined not as money they need to raise (cause here they will be short on their goal) but Money they must earn. And again, you should rewrite your equation to be:
M=Amount they must raise
C=Cost per magazine
n=Number of magazines
p=profit $5.5 per magazine
C+p=M/n
And rewriting the previous they should make:
n(C+p)=M -----> n(C+5.5)=M <span>m/n = 5.50 </span>
<span>m/n x n = 5.50 x n //// multiply each side by n </span>
<span>m = 5.5n</span>
Answer:
x = 90 y = 45
Step-by-step explanation: