The given expression is:
![\frac{ \sqrt[4]{400} }{ \sqrt[4]{5} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B400%7D%20%7D%7B%20%5Csqrt%5B4%5D%7B5%7D%20%7D%20)
Since the power of radical is the same, we can combine the numerator and denominator under single radical sign as:
![\sqrt[4]{ \frac{400}{5} } \\ \\ = \sqrt[4]{80} \\ \\](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20%5Cfrac%7B400%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B4%5D%7B80%7D%20%20%5C%5C%20%20%5C%5C%20)
80 can be written as product of 16 and 5 and expression can be further simplified as:
Step-by-step explanation:
the number formed by subtracting 1 from the smallest 7 digit number is largest 6 digit number.
Answer:
24.83 degrees.
Step-by-step explanation:
In the diagram, Bugs Bunny was initially at point A 42 meters below ground and dug diagonally 100 meters to point B.
We are to determine the angle of elevation,
of his climb.
Now, ![\angle BAX=\angle ABC$ (Alternate Angles)](https://tex.z-dn.net/?f=%5Cangle%20BAX%3D%5Cangle%20ABC%24%20%28Alternate%20Angles%29)
Using Trigonometric ratios
![\sin B=\dfrac{AC}{AB} \\\sin B= \dfrac{42}{100}\\\\B=\arcsin \dfrac{42}{100}\\\\B=24.83^\circ](https://tex.z-dn.net/?f=%5Csin%20B%3D%5Cdfrac%7BAC%7D%7BAB%7D%20%5C%5C%5Csin%20B%3D%20%5Cdfrac%7B42%7D%7B100%7D%5C%5C%5C%5CB%3D%5Carcsin%20%20%5Cdfrac%7B42%7D%7B100%7D%5C%5C%5C%5CB%3D24.83%5E%5Ccirc)
The angle of elevation of Bugs Bunny's climb is 24.83 degrees. (correct to 2 decimal places).
The area of the triangle ABC is 81. 33 square units.
We have to determine
What is the area of triangle ABC?
<h3>
What is the formula for the area of a triangle?</h3>
The area of the triangle is determined by;
![\rm Area \ of \ triangle = s\sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=%5Crm%20Area%20%5C%20of%20%5C%20triangle%20%3D%20s%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D)
Where the value of s is = a + b + c= 12 + 14 + 16 = 42
Substitute all the values in the formula;
![\rm Area \ of \ triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area \ of \ triangle = \sqrt{21(21-12)(21-14)(21-16)}\\\\\rm Area \ of \ triangle = \sqrt{(21 \times 9 \times 7 \times 5)}\\\\Area \ of \ triangle =\sqrt{6,615}\\\\Area \ of \ triangle = 81.33](https://tex.z-dn.net/?f=%5Crm%20Area%20%5C%20of%20%5C%20triangle%20%3D%20%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D%5C%5C%5C%5C%5Crm%20Area%20%5C%20of%20%5C%20triangle%20%3D%20%5Csqrt%7B21%2821-12%29%2821-14%29%2821-16%29%7D%5C%5C%5C%5C%5Crm%20Area%20%5C%20of%20%5C%20triangle%20%3D%20%5Csqrt%7B%2821%20%5Ctimes%209%20%5Ctimes%207%20%5Ctimes%205%29%7D%5C%5C%5C%5CArea%20%5C%20of%20%5C%20triangle%20%3D%5Csqrt%7B6%2C615%7D%5C%5C%5C%5CArea%20%5C%20of%20%5C%20triangle%20%3D%2081.33)
Hence, the area of the triangle ABC is 81. 33 square units.
To know more about the Area of the triangle click the link given below.
brainly.com/question/9299277
F(x) = (x+3)(x-2) → f(x) = x² + x - 6
1st : The coefficient a > 0, the parabola opens upward,
2nd: The x-= intercepts are x = - 3 & x= +2 ( the values that render f(x) = 0
3rd: For x = 0, y = - 6 (this is y intercept)
The only figure that corresponds to those specifications is the 1st graph