So we know that the slope intercept form is y=mx+b
so the formula is y=3*-3+-6
First, some housekeeping:
cos = 12/13 is incomplete; "cos" must have an argument (input).
cos x = 12/13 is fine; here "cos" has the argument (input) x.
Given that cos x = 12/13, find sin x. To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.
12^2 + opp^2 = 13^2, or opp^2 = 169-144 = 25.
Then the opp side could be either 5 or -5. Let's assume that it's +5, and that angle x is in the first quadrant.
Then sin x = opp / hyp = 5/13 (answer)
cos 2 is an entirely different kind of problem. Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).
Using a calculator: cos 2 = -0.416. Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.
Answer:
- 1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
<h3>#1</h3>
<u>Sum of interior angles is 180</u>
- 70 + 46 + x = 180
- 116 + x = 180
- x = 64
<h3>#2</h3>
<u>Sum of interior angles is 180</u>
- 84 + 7x + 1 + 9x - 1 = 84
- 16x + 84 = 180
- 16x = 96
- x = 6
<h3>#3</h3>
<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>
- 35 + 25 = 34 + x
- 60 = 34 + x
- x = 60 - 34
- x = 26
<h3>#4</h3>
<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>
- 5x - 7 + 6x + 3 = 84
- 11x - 4 = 84
- 11x = 88
- x = 8
- m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
This states that a number divided by 3 is 21. the equation is: n/3 = 21
