Answer:
under the condition of f(x)=x composite function is an identity one
Answer:
14
Step-by-step explanation:
Convert the fraction into a decimal
1/2 = 0.5
Divide
7/0.5 = 14
Answer:
Width of the rectangle is: ![\mathbf{Width= 9x^6 y^4}](https://tex.z-dn.net/?f=%5Cmathbf%7BWidth%3D%209x%5E6%20y%5E4%7D)
Option C is correct.
Step-by-step explanation:
Area of rectangle = ![54x^9y^8](https://tex.z-dn.net/?f=54x%5E9y%5E8)
Length of rectangle =
We need to find width of rectangle.
The formula used is:
![Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}](https://tex.z-dn.net/?f=Area%5C%3Aof%5C%3Arectangle%3DLength%5Ctimes%20Width%5C%5CWidth%3D%5Cfrac%7BArea%5C%3Aof%5C%3Arectangle%7D%7BLength%7D)
Putting values in the formula to find Width of rectangle
![Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}](https://tex.z-dn.net/?f=Width%3D%5Cfrac%7BArea%5C%3Aof%5C%3Arectangle%7D%7BLength%7D%5C%5CWidth%3D%5Cfrac%7B54x%5E9y%5E8%7D%7B6x%5E%203y%5E4%7D)
Using the exponent rule: ![\frac{a^m}{a^n}=a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D)
and simplifying the terms we get
![Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}](https://tex.z-dn.net/?f=Width%3D%5Cfrac%7B54x%5E9y%5E8%7D%7B6x%5E3y%5E4%7D%5C%5CWidth%3D9x%5E%7B9-3%7D%20%5C%3A%20y%5E%7B8-4%7D%5C%5CWidth%3D9x%5E6%20y%5E%7B4%7D)
So, Width of the rectangle is: ![\mathbf{Width= 9x^6 y^4}](https://tex.z-dn.net/?f=%5Cmathbf%7BWidth%3D%209x%5E6%20y%5E4%7D)
Option C is correct.
By using trigonometric relations, we will see that the angle of elevation must be 55°.
<h3>
How to find the angle of elevation?</h3>
We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.
The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.
Then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
tan(a) = 1250ft/875ft
To find the angle of elevation, we can use the inverse tangent function:
a = Atan(1250ft/875ft) = 55°
The angle of elevation must be 55 degrees.
If you want to learn more about right triangles:
brainly.com/question/2217700
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