Answer:
- 125
Step-by-step explanation:
Answer:
- sin(x) = ±(√2)/2
- r.a. = 45°
- x = 45° +k·360°
- x = 135° +k·360°
- x = 225° +k·360°
- x = 315° +k·360°
- x ∈ {135°, 225°, 315°, 405°}
Step-by-step explanation:
Start by solving for sin(x).
4sin(x)² = 2
sin(x)² = 1/2 . . . . divide by 4
sin(x) = ±√(1/2) = ±(√2)/2
Use your knowledge of the sine function to recognize that the reference angle is 45°, and that the angles x will be ...
x = ±45° or 180°±45° with multiples of 360° added
The solutions in the desired range are ...
x ∈ {135°, 225°, 315°, 405°}
Answer:
6 units
Step-by-step explanation:
(-4 , -10) ; (-4 , -4)
Distance = 
![= \sqrt{(-4-[-4])^{2}+(-4-[-10])^{2}}\\\\= \sqrt{(-4+4)^{2}+(-4+10)^{2}}\\\\=\sqrt{0+(6)^{2}}\\\\= \sqrt{36}\\\\= 6](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%28-4-%5B-4%5D%29%5E%7B2%7D%2B%28-4-%5B-10%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B%28-4%2B4%29%5E%7B2%7D%2B%28-4%2B10%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B0%2B%286%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B36%7D%5C%5C%5C%5C%3D%206)
Answer: B
Step-by-step explanation: idc