Convert the following angle from degrees to radians. Express your answer in simplest form 345 ∘

Mathematics

1 answer:

postnew [5]2 years ago

8 0

well, since we know that there are 180° in π radians, how many degrees will it be in 345°?

$\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 345&x \end{array}\implies \cfrac{180}{345}~~ = ~~\cfrac{\pi }{x}\implies \cfrac{12}{23}~~ = ~~\cfrac{\pi }{x} \\\\\\ 12x=23\pi \implies x=\cfrac{23\pi }{12}$

You might be interested in

What is the relationship between segment RS and segment RU

Bingel [31]

Answer:

I would like to answer but where is the picture for the question. Download that to this page and i will answer it. Have a great day

Step-by-step explanation:

6 0

3 years ago

How can you prove:<br><br> secθ = cscθtanθ

zavuch27 [327]

$\sec \theta=\csc \theta\tan \theta\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\sin \theta}\cdot\dfrac{\sin \theta}{\cos \theta}\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\cos \theta}$

3 0

2 years ago

Kelly ate 3 apples. this represents 50% of the bag of apples.how many apples were originally in the bag?

Mariana [72]

There were 6 apples in the bag

7 0

3 years ago

Read 2 more answers

Which algebraic expression is a polynomial?

Degger [83]

Answer:

the last one is a polynomial

Step-by-step explanation:

8 0

2 years ago

Determine whether the sequence is arithmetic or geometric.

Elanso [62]

Sequence 1 is arithmetic because it is being subtracted by 16.

Sequence 2 is geometric because it is being divided by 2.

Arithmetic is when you're adding or subtracted and geometric is when you multiplying or dividing.

5 0

3 years ago

Read 2 more answers