Answer:
Step-by-step explanation:
![\sqrt[3]{\dfrac{125}{1000}}\qquad\text{use}\ \sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\\\\=\dfrac{\sqrt[3]{125}}{\sqrt[3]{1000}}=\dfrac{5}{10}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{1000}=10\ because\ 10^3=1000](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7B125%7D%7B1000%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%5Bn%5D%7B%5Cdfrac%7Ba%7D%7Bb%7D%7D%3D%5Cdfrac%7B%5Csqrt%5Bn%5D%7Ba%7D%7D%7B%5Csqrt%5Bn%5D%7Bb%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B125%7D%7D%7B%5Csqrt%5B3%5D%7B1000%7D%7D%3D%5Cdfrac%7B5%7D%7B10%7D%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7B125%7D%3D5%5C%20because%5C%205%5E3%3D125%5C%5C%5C%5C%5Csqrt%5B3%5D%7B1000%7D%3D10%5C%20because%5C%2010%5E3%3D1000)
Answer:
Width=4, and Length=17
Step-by-step explanation:
first you will make a variable for the width which i will say is x
now make it an equation (3x+5) (x) = 68
then solve 3x^2+5x=68
then 3x^2+5x-68=0
then x=4
then you have to substitute so 3(4)+5= 17 and 4
Answer:
x = 105°
Step-by-step explanation:
The exterior angle of a triangle = sum of 2 opposite interior angles
x = 18° + 87° = 105°
Answer:
C and D
Step-by-step explanation:
Plug X in and see which equations/expressions are true
Answer:
x = 8
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
x = 8
