Question

$left(\frac{(8.99\times10^{9})(15\times10^{- 6})(11\times10^{-6})}{(0.125)^{2}}\timessin(37)
ight)$

Explanation:

Step1: Multiply the numbers in scientific - notation

First, multiply the non - exponential parts: $(8.99\times15\times11)=8.99\times165 = 1483.35$. Then, add the exponents of 10: $10^{9}\times10^{- 6}\times10^{-6}=10^{9+( - 6)+( - 6)}=10^{-3}$. So the product of the numbers in scientific notation is $1483.35\times10^{-3}=1.48335$.

Step2: Calculate the denominator

Calculate $(0.125)^{2}=0.125\times0.125 = 0.015625$.

Step3: Calculate the fraction

$\frac{1.48335}{0.015625}=94.9344$.

Step4: Multiply by $\sin(37^{\circ})$

We know that $\sin(37^{\circ})\approx0.6018$. Then $94.9344\times0.6018 = 57.1315$.

Answer:

$57.13$ (rounded to two decimal places)