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Hitman42 [59]
2 years ago
9

Trigonometry that’s due in one hour :(

Mathematics
1 answer:
expeople1 [14]2 years ago
3 0

Answer:

(a)  \theta=\tan^{-1}(-0.890)

\implies \theta=-41.66908262 \pm 180 \textdegree n

\implies \theta=138.3309174..., 318.3309174...

\implies \theta=138\textdegree, 318\textdegree

(b)  \theta=\cos^{-1}\left(\dfrac{\sqrt{3} }{2}\right)

\implies \theta=30 \textdegree \pm360 \textdegree n, 330 \textdegree \pm360 \textdegree n

\implies \theta=30 \textdegree , 330 \textdegree

(c)  \theta=\sin^{-1}\left(\dfrac{1 }{2}\right)

\implies \theta=30 \textdegree \pm360 \textdegree n, 150 \textdegree \pm360 \textdegree n

\implies \theta=30 \textdegree , 150 \textdegree

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Julia jogged along the perimeter of a park. the area of the park is 12 square miles, and the width of the park is 3 miles. how m
Georgia [21]
12 * 3 = 36 
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4 0
4 years ago
Diana has been saving nickels and dimes. She opened up her piggy bank and determined that it contained 48 coins worth $4.50. Det
tino4ka555 [31]

Answer:

6 Nickels

42 Dimes

Step-by-step explanation:

There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:

n + d = 48

or

n = 48 - d

In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:

0.05n + 0.10d = 4.50

Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:

0.05n + 0.10d = 4.50\\0.05(48-d) + 0.10d = 4.50\\2.4-0.05d+0.10d=4.50\\0.05d=4.50-2.4\\0.05d=2.1\\d=\frac{2.1}{0.05}=42

So, there are 42 dimes.

We know from before, n = 48 - d, so

n = 48 - 42 = 6

There are 6 nickels

3 0
3 years ago
What is true about this graph? Select all that apply.
schepotkina [342]

Answer:

E, B and A

Step-by-step explanation:

8 0
3 years ago
(x,5), (1,-5); slope- -5/2 . What is x?
Tom [10]

Answer:

-3

Step-by-step explanation:

The slope formula is y2-y1/x2-x1, so replace the variables with the given values.

-5-5/1-x= -5/2, now multiply both sides by "1-x"

-5-5= -5/2(1-x) or -10=-5/2+5/2x, now add 5/2 to both sides

-20/2+5/2=5/2x, now simplify the equation

-15/2=5/2x, multiply both sides by 2/5

-30/10=x or x is -3

4 0
3 years ago
Read 2 more answers
Please<br> <img src="https://tex.z-dn.net/?f=%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%2B1%29%21%7D%7Bn%21-%28n%2B1%
Nana76 [90]
Hi there!
We are given the function - 
\lim_{n \to \infty} \frac{(n+1)!}{n!-(n+1)!}
and are told to find the limit of the function. 
The limit would be n approaches infinity, giving us an answer of -1. 
Here is how you solve this:
\frac{(n+1)!}{n!-(n+1)!}
Divide by (n + 1)! - 
\frac{1}{\frac{1}{n+1}-1 }
Now, we can refine the function - 
\lim_{n \to \infty}\frac{1}{\frac{1}{n+1}-1 }
Now, just simplify. This gives us - 
\lim_{n \to \infty} (1)
We can use the rule \lim_{x \to a}c=c to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is -1. Hope this helped and have a great day!


3 0
3 years ago
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