Answer:
7.55 miles
Step-by-step explanation:
Given that :
Distance of descent = 1.5 miles
New elevation point after descent = 6.05 miles
The initial elevation of the plane before descent will be :
New elevation point after descent + Distance of descent
(6.05 miles + 1.5 miles)
= 7.55 miles
Answer:
4 and 1/2 hours at the end of 6 days :)
Just multiply 18 by 13 and divide by 9 i think
Y=x²-6x+14
y=(x²-2*3x +3²-3²)+14
y=(x²-2*3x+3²)+14-9
y=(x-3)²+5
a=1
p=3
q=5
a>0 ⇒ vertex is minimum
V(p,q) ⇒ V(3;5)
Regards M.Y.
<h3>
Answer: Choice B ![\frac{\sqrt{15}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D)
</h3>
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Work Shown:
Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.
Square both sides of the given equation
![\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B4%7D%5Cright%29%5E2%5C%5C%5C%5C%5Csin%5E2%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
Then use the pythagorean trig identity to get
![\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\](https://tex.z-dn.net/?f=%5Csin%5E2%20%5Ctheta%20%2B%20%5Ccos%5E2%20%5Ctheta%20%3D%201%5C%5C%5C%5C%5Ccos%5E2%20%5Ctheta%20%3D%201-%5Csin%5E2%20%5Ctheta%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B1-%5Csin%5E2%20%5Ctheta%7D%20%5C%20%5C%20%5C%20%5Ctext%7Bcosine%20is%20positive%20in%20Q1%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B1-%5Cfrac%7B1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B16%7D%7B16%7D-%5Cfrac%7B1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B16-1%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Csqrt%7B%5Cfrac%7B15%7D%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B%5Csqrt%7B16%7D%7D%5C%5C%5C%5C%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D%5C%5C%5C%5C)