(6 × 10⁷)/(5 × 10⁴)
We could simplify the exponential number of 10 by substracting the exponent number, it could be written as
= 6/5 × 10⁷⁻⁴
= 6/5 × 10³
= 1.2 × 10³
(This is the final answer)
A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to
where s is the side length.
To solve for s, take the cube root of both sides.
![\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B27%7D%7B64%7D%20%7D%20%20)
feet
Well... Basically, you should prove this by SSS property(side-side-side). It's fair to say that the length of a side is equal to itself so The line that cuts through the rectangle is a side for both rectangles. Thus because of the given, all the sides of the triangles are equal to one another. This is a very important trick for geometry(I remember using it a lot).
Hope this helps!
Answer:
n=-5
Step-by-step explanation:
first you have to distribute the 3 to the -6 and the 5. In return u will get -18n and 15. then you have to cancel like terms. then you have to add 18 to the 75 which gives you 93. then you divide -18 by 93 which gives you -5.166 repeating... so all you have to do is round. your final answer will be -5.
Answer:
![\large\boxed{\sqrt[3]{3^{15}}=243}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Csqrt%5B3%5D%7B3%5E%7B15%7D%7D%3D243%7D)
Step-by-step explanation:
![\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E%7B15%7D%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D%5Csqrt%5B3%5D%7B3%5E%7B5%5Ccdot3%7D%7D%3D%5Csqrt%5B3%5D%7B%283%5E5%29%5E3%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%5C%5C%5C%5C%3D3%5E5%3D243)
