Answer:
![x\sqrt[7]{x^{2} }](https://tex.z-dn.net/?f=x%5Csqrt%5B7%5D%7Bx%5E%7B2%7D%20%7D)
(D)
Step-by-step explanation:
Given: 
To find: Simplify the given expression
Solution: Simplyfying, we get,
![=x^{1} *x^{\frac{2}{7} } \\=x*x^{\frac{2}{7} } \\=x=\sqrt[7]{x^{2} }](https://tex.z-dn.net/?f=%3Dx%5E%7B1%7D%20%2Ax%5E%7B%5Cfrac%7B2%7D%7B7%7D%20%7D%20%5C%5C%3Dx%2Ax%5E%7B%5Cfrac%7B2%7D%7B7%7D%20%7D%20%5C%5C%3Dx%3D%5Csqrt%5B7%5D%7Bx%5E%7B2%7D%20%7D)
Therefore, 
can be written as
I think graph 2. Hope this helps!
$13 because Isabella will be awarded $104 making the ratio 1:8
Answer: Option (C)
Explanation:
Linear programming is referred to as the mathematical method designed in order to assist individuals to plan and thus make decisions which are necessary in order to allocate the resource. Under linear programming, first an individual defines the objective, thereby also looking at the limits i.e. constraints that are being put forth. Also defining the alternatives and the linearity.
Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
