Find tan if sin= 21/35.

37 points

tan=0.75

Step-by-step explanation:

We know sin=opp/hyp, so 21 is the opposite side length in relation to theta.

To figure out tan, we need to know what the adjacent angle is because tan=opp/adj

21 squared= 441

35 squared =1225

1225-441= 784

The square root of 784 = 28

Now that we know both the opp and adj sides, we can solve for tan.

21/28= 0.75

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!