Answer: -3π/2
Step-by-step explanation:
The unit circle is tricky, but here are some things to know:
- When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative.
- The unit circle is typically measured in radians, not degrees
- To convert from radians to degrees, multiply by 180/π
- To convert from degrees to radians, multiply by π/180
- The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.
-If the angle is negative, switch the signs of the axis above.
The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.
I can’t see the exact numbers because the pic is blurry but here’s how to solve it.
The three angles in a triangle always add up to 180. So subtract the angle that’s given and you’ll have the sum of the two other angles. Since it’s an equilateral triangle, the other two angles are the same.
So write the equation 2(whatever the angle is) = the number you get when you do 180-the given angle
For example (I’m not sure these numbers are right because the pic is blurry)
2(9x+7)=114
Then you would solve for x and once you get x, plug it into the angle expression 9x+ 7 or whatever to get the angle measure.
Step-by-step explanation:
7.
![7 + \frac{m}{8} = - 2 \\ \frac{m}{8} = - 2 - 7 \\ \frac{m}{8} = - 9 \\ m = - 9 \times 8 \\ = - 72](https://tex.z-dn.net/?f=7%20%2B%20%20%5Cfrac%7Bm%7D%7B8%7D%20%20%3D%20%20-%202%20%5C%5C%20%20%5Cfrac%7Bm%7D%7B8%7D%20%20%3D%20%20-%202%20-%207%20%5C%5C%20%20%5Cfrac%7Bm%7D%7B8%7D%20%20%3D%20%20-%209%20%5C%5C%20m%20%3D%20%20-%209%20%5Ctimes%208%20%5C%5C%20%20%3D%20%20-%2072)
8.
![\frac{ - 1}{5} k + 1 = 11 \\ \frac{ - k}{5} + 1 = 11 \\ \frac{ - k}{5} = 11 - 1 \\ \frac{ - k}{5} = 10 \\ - k = 10 \times 5 \\ - k = 50 \\ k = - (50) \\ = - 50](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%201%7D%7B5%7D%20k%20%2B%201%20%3D%2011%20%5C%5C%20%20%5Cfrac%7B%20-%20k%7D%7B5%7D%20%20%2B%201%20%3D%2011%20%5C%5C%20%20%5Cfrac%7B%20-%20k%7D%7B5%7D%20%20%3D%2011%20-%201%20%5C%5C%20%20%20%5Cfrac%7B%20-%20k%7D%7B5%7D%20%20%3D%2010%20%5C%5C%20%20-%20k%20%3D%2010%20%5Ctimes%205%20%5C%5C%20%20-%20k%20%3D%2050%20%5C%5C%20k%20%3D%20%20-%20%2850%29%20%5C%5C%20%20%3D%20%20-%2050)
9.
![- 6 + \frac{1}{3} w = 0 \\ \frac{1}{3} w = 0 + 6 \\ \frac{1}{3} w = 6 \\ w = 6 \div \frac{1}{3} \\ = 6 \times 3 \\ = 18](https://tex.z-dn.net/?f=%20-%206%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20w%20%3D%200%20%5C%5C%20%20%5Cfrac%7B1%7D%7B3%7D%20w%20%3D%200%20%2B%206%20%5C%5C%20%20%5Cfrac%7B1%7D%7B3%7D%20w%20%3D%206%20%5C%5C%20w%20%3D%206%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%3D%206%20%5Ctimes%203%20%5C%5C%20%20%3D%2018)
Answer:
Translation
Step-by-step explanation:
Answer:3948
Step-by-step explanation: