Answer:
13/-3
Step-by-step explanation:
Y2-Y1/X2-X1
Answer:
x=-10
Step-by-step explanation:
6x+4=5x-6
Subtract 5x from each side
6x-5x+4=5x-5x-6
x +4 = -6
subtract 4 from each side
x+4-4 = -6-4
x=-10
By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is
.
<h3>How to find the exact value of a trigonometric expression</h3>
<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:
![\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B1%20-%20%5Ccos%20%5Cfrac%7B5%5Cpi%7D%7B6%7D%20%7D%7B2%7D%20%7D)
![\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B1%20%2B%20%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20%7D%7B2%7D%20%7D)
![\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B1%20%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%20%7D%7B2%7D%20%7D)
![\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%20%5Csqrt%7B%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B4%7D%20%7D)
![\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%7D%7D%7B2%7D)
By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is
.
To learn more on trigonometric functions: brainly.com/question/15706158
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Answer:
X<-4
Step-by-step explanation:
-3x+10>22
subtract 10 to both sides
-3x>12
divide by -3 on both sides
when you divide by a negative number you flip the sign so the answer will be x<-4
The speed of earth will be found as follows:
speed=distance/time
distance=93 million
time=365
speed=(93)/365=254, 794.5205 mi/day
thus distance moved for 8 days will be:
distance=speed*time
=(254794.5205)×8
=2,038,356.164 miles