Well it have to be D because 32 and 20 can not go into 64 to 40 because 32 times 64 is 2048 and 64 times 20 is 1280 and if it was 40 times 32 and 20 it will still be higher. I HAVE FAITH IN YOU.
Answer:
goes into the box
Step-by-step explanation:
Let the number be
, then
![(m^x)^{\frac{1}{3}}=m^{-12}](https://tex.z-dn.net/?f=%28m%5Ex%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3Dm%5E%7B-12%7D)
We now use the following property of exponents to simplify the left hand side of the equation.
![(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
This implies that;
![m^{x\times \frac{1}{3}}=m^{-12}](https://tex.z-dn.net/?f=m%5E%7Bx%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%7D%3Dm%5E%7B-12%7D)
![\Rightarrow m^{\frac{x}{3}}=m^{-12}](https://tex.z-dn.net/?f=%5CRightarrow%20m%5E%7B%5Cfrac%7Bx%7D%7B3%7D%7D%3Dm%5E%7B-12%7D)
Since the bases are the same, we equate the exponents to get;
![{\frac{x}{3}=-12](https://tex.z-dn.net/?f=%7B%5Cfrac%7Bx%7D%7B3%7D%3D-12)
We now multiply both sides by 3 to get;
![\frac{x}{3}\times 3=-12\times 3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%5Ctimes%203%3D-12%5Ctimes%203)
![\Rightarrow x =-36](https://tex.z-dn.net/?f=%5CRightarrow%20x%20%3D-36)
Therefore the number that goes into the box is ![-36](https://tex.z-dn.net/?f=-36)
Answer:
−8xf+16xg
Step-by-step explanation:
im not sure if thats correct but you should be using vector arithmetic to simplify the answer.
The Question is Incomplete The complete question with figure is below.
Answer:
Therefore the equation to solve for b is
![\tan 30 = \dfrac{5}{b}](https://tex.z-dn.net/?f=%5Ctan%2030%20%3D%20%5Cdfrac%7B5%7D%7Bb%7D)
Step-by-step explanation:
Given:
In Right Angle Triangle ABC
∠C = 90°
BC = 5 cm
AB = 10 cm
∠A = 30°
To Find:
b = ?
Solution:
In Right Angle Triangle ABC Tangent identity we have
![\tan A = \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}](https://tex.z-dn.net/?f=%5Ctan%20A%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20A%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20A%7D%7D)
Substituting the values we get
![\tan 30 = \dfrac{BC}{AC}\\\\\tan 30 = \dfrac{5}{b}](https://tex.z-dn.net/?f=%5Ctan%2030%20%3D%20%5Cdfrac%7BBC%7D%7BAC%7D%5C%5C%5C%5C%5Ctan%2030%20%3D%20%5Cdfrac%7B5%7D%7Bb%7D)
Therefore the equation to solve for b is
![\tan 30 = \dfrac{5}{b}](https://tex.z-dn.net/?f=%5Ctan%2030%20%3D%20%5Cdfrac%7B5%7D%7Bb%7D)
Answer:
LN = 18
Step-by-step explanation:
hope that's the answer..