22/7 times 1.5 squared times 10
You asked:
Evaluate the expression: \(\frac{22}{7} \cdot {1.5}^{2} \cdot 10\)
MathBot Answer:
\[\frac{22}{7} \cdot {1.5}^{2} \cdot 10 = \frac{495}{7} = 70.\overline{714285}\]
\[\begin{aligned}\frac{22}{7} \cdot {1.5}^{2} \cdot 10& = \frac{22}{7} \cdot \left(1 + \frac{5}{10}\right)^{2} \cdot 10\\& = \frac{22}{7} \cdot \left(1 + \frac{1}{2}\right)^{2} \cdot 10\\& = \frac{22}{7} \cdot \left(\frac{3}{2}\right)^{2} \cdot 10\\& = \frac{22}{7} \cdot \frac{9}{4} \cdot 10\\& = \frac{99}{14} \cdot 10\\& = \frac{495}{7}\end{aligned}\]