Answer:
The height of the rock formation is ![45.02\ ft](https://tex.z-dn.net/?f=45.02%5C%20ft)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
![tan(42\°)=h/50](https://tex.z-dn.net/?f=tan%2842%5C%C2%B0%29%3Dh%2F50)
solve for h
![h=50*tan(42\°)=45.02\ ft](https://tex.z-dn.net/?f=h%3D50%2Atan%2842%5C%C2%B0%29%3D45.02%5C%20ft)
Answer:it’s a
Step-by-step explanation:
Answer:
{
}
{
}
The relation is not a function.
Step-by-step explanation:
By definition, a relation is a function if each input value has only one output value.
Given the relation:
(4,23)
(3,-2)
(-6,5)
(4,6)
The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):
{
}
The range is the set of the y-coordinates of each ordered pair :
{
}
Since the input value 4 has two different output values (23 and 6), the relation is not a function.
Answer:
a 8
Step-by-step explanation:
You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.
![a^2 = b^2 + c^2 - 2bc\cos A](https://tex.z-dn.net/?f=%20a%5E2%20%3D%20b%5E2%20%2B%20c%5E2%20-%202bc%5Ccos%20A%20)
![a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ](https://tex.z-dn.net/?f=%20a%5E2%20%3D%205%5E2%20%2B%2011%5E2%20-%202%285%29%2811%29%5Ccos%2039%5E%5Ccirc%20)
![a^2 = 25 + 121 - 110\cos 39^\circ](https://tex.z-dn.net/?f=%20a%5E2%20%3D%2025%20%2B%20121%20-%20110%5Ccos%2039%5E%5Ccirc%20)
![a^2 = 60.51](https://tex.z-dn.net/?f=%20a%5E2%20%3D%2060.51%20)
![a = 7.779](https://tex.z-dn.net/?f=%20a%20%3D%207.779%20)
Answer: a = 8 cm
Answer:
f(x)=nx
or
f(x)=9.50x
Step-by-step explanation:
Let x be the amount of hours and n be the hourly rate (9.50).
![f(x)=nx](https://tex.z-dn.net/?f=f%28x%29%3Dnx)
or if you prefer to use 9.50 instead of n, the function would be:
![f(x)=9.50x](https://tex.z-dn.net/?f=f%28x%29%3D9.50x)