Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:√133
Decimal Form:
11.53256259…
Step-by-step explanation:
times more stars are there in universe compared to human eye can see
<h3><u>
Solution:</u></h3>
Given that, conservative estimate of the number of stars in the universe is ![6 \times 10^{22}](https://tex.z-dn.net/?f=6%20%5Ctimes%2010%5E%7B22%7D)
The average human can see about 3,000 stars at night with only their eyes
To find: Number of times more stars are there in the universe, compared to the stars a human can see
Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see
Then from given statement,
![\text{Stars in universe} = x \times \text{ number of stars human can see}](https://tex.z-dn.net/?f=%5Ctext%7BStars%20in%20universe%7D%20%3D%20x%20%5Ctimes%20%5Ctext%7B%20number%20of%20stars%20human%20can%20see%7D)
<em><u>Substituting given values we get,</u></em>
![6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}](https://tex.z-dn.net/?f=6%20%5Ctimes%2010%5E%7B22%7D%20%3D%20x%20%5Ctimes%203000%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B6%20%5Ctimes%2010%5E%7B22%7D%7D%7B3000%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B6%20%5Ctimes%2010%5E%7B22%7D%7D%7B3%20%5Ctimes%2010%5E3%7D%5C%5C%5C%5Cx%20%3D%202%20%5Ctimes%2010%5E%7B22-3%7D%5C%5C%5C%5Cx%20%3D%202%20%5Ctimes%2010%5E%7B19%7D)
Thus
times more stars are there in universe compared to human eye can see
the answer is 32.........
It’s going to be the area of the triangle on the side times the length, so 0.5 x 36 x 15 x 48 = 12960