Answer:
x<5
Step-by-step explanation:
the greater sign will firstly be changed to = for better solving so we obtain
3+9x=4(x+7)by opening bracket
3+9x=4x+28
9x-4x=28-3
5x=25
divide all through by 5x
we obtain
x=5
the greater sign change here
which is x<5
Answer:
2x^2 + 6.
Step-by-step explanation:
Replace the x in f(x) by g(x):
f(g(x)) = 2(x^2 + 3)
= 2x^2 + 6.
Answer:
The distance from the plane to SCCA is 34,203.0 feet approximately, and the horizontal distance is 32,708.5 feet approximately.
Step-by-step explanation:
You can draw a right triangle like the one shown in the figure attached, where:
x: horizontal distance.
y: distance from the plane to SCCA.
You can calculate x as following:
![tan\alpha=\frac{opposit}{adjacent}](https://tex.z-dn.net/?f=tan%5Calpha%3D%5Cfrac%7Bopposit%7D%7Badjacent%7D)
Where:
![\alpha=17\°\\opposite=10,000\\adjacent=x](https://tex.z-dn.net/?f=%5Calpha%3D17%5C%C2%B0%5C%5Copposite%3D10%2C000%5C%5Cadjacent%3Dx)
Substitute and solve for x:
![tan(17\°)=\frac{10,000}{x}\\\\x=\frac{10,000}{tan(17\°)}\\\\x=32,708.5ft](https://tex.z-dn.net/?f=tan%2817%5C%C2%B0%29%3D%5Cfrac%7B10%2C000%7D%7Bx%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B10%2C000%7D%7Btan%2817%5C%C2%B0%29%7D%5C%5C%5C%5Cx%3D32%2C708.5ft)
You can calculate y as following:
![sin\alpha=\frac{opposit}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%3D%5Cfrac%7Bopposit%7D%7Bhypotenuse%7D)
Where:
![\alpha=17\°\\opposite=10,000\\hypotenuse=y](https://tex.z-dn.net/?f=%5Calpha%3D17%5C%C2%B0%5C%5Copposite%3D10%2C000%5C%5Chypotenuse%3Dy)
Substitute and solve for y:
![sin(17\°)=\frac{10,000}{y}\\\\y=\frac{10,000}{sin(17\°)}\\\\y=34,203.0ft](https://tex.z-dn.net/?f=sin%2817%5C%C2%B0%29%3D%5Cfrac%7B10%2C000%7D%7By%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B10%2C000%7D%7Bsin%2817%5C%C2%B0%29%7D%5C%5C%5C%5Cy%3D34%2C203.0ft)
Try 55, hope this helped.. If not I’ll come back