a = \frac { 2 \cdot 1,5 m \cdot \sqrt { 3 } } { 3 }
Solve for a
a=\sqrt{3}m
Solve for m
m=\frac{\sqrt{3}a}{3}
Share
Copied to clipboard
a=\frac{3m\sqrt{3}}{3}
Multiply 1,5 and 2 to get 3.
a=m\sqrt{3}
Cancel out 3 and 3.
a=\frac{3m\sqrt{3}}{3}
Multiply 1,5 and 2 to get 3.
a=m\sqrt{3}
Cancel out 3 and 3.
m\sqrt{3}=a
Swap sides so that all variable terms are on the left hand side.
\sqrt{3}m=a
The equation is in standard form.
\frac{\sqrt{3}m}{\sqrt{3}}=\frac{a}{\sqrt{3}}
Divide both sides by \sqrt{3}.
m=\frac{a}{\sqrt{3}}
Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.
m=\frac{\sqrt{3}a}{3}
Divide a by \sqrt{3}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}