Answer:
the answer is 1/12
Step-by-step explanation:
it is 1/12 because if there are only a pair you would have 2 dice. and since each die has numbers all the way up to 6 all you have to do is add them. and don't count all the numbers. like add 1+2+3+4+5+6. that's just plain wrong just do add the highest number on each die (6+6)
Answer:
Second Option
![\frac{5\sqrt{11} +5\sqrt{3}}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Csqrt%7B11%7D%20%2B5%5Csqrt%7B3%7D%7D%7B8%7D)
Step-by-step explanation:
To simplify the expression you must multiply the numerator and the denominator of the fraction by the conjugate of the denominator.
If you have an expression of the form
then its conjugate will be ![a + b.](https://tex.z-dn.net/?f=a%20%2B%20b.)
The result of that multiplication will be
![a ^ 2 -b ^ 2](https://tex.z-dn.net/?f=a%20%5E%202%20-b%20%5E%202)
Therefore we have the expression
![\frac{5}{\sqrt{11} -\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B%5Csqrt%7B11%7D%20-%5Csqrt%7B3%7D%7D)
By multiplying by the conjugate of the denominator we have
![\frac{5}{\sqrt{11} -\sqrt{3}}*\frac{\sqrt{11} +\sqrt{3}}{\sqrt{11} +\sqrt{3}}\\\\\\\frac{5(\sqrt{11} +\sqrt{3})}{(\sqrt{11})^2 -(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11} +5\sqrt{3}}{11 -3}\\\\\\\frac{5\sqrt{11} +5\sqrt{3}}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B%5Csqrt%7B11%7D%20-%5Csqrt%7B3%7D%7D%2A%5Cfrac%7B%5Csqrt%7B11%7D%20%2B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B11%7D%20%2B%5Csqrt%7B3%7D%7D%5C%5C%5C%5C%5C%5C%5Cfrac%7B5%28%5Csqrt%7B11%7D%20%2B%5Csqrt%7B3%7D%29%7D%7B%28%5Csqrt%7B11%7D%29%5E2%20-%28%5Csqrt%7B3%7D%29%5E2%7D%5C%5C%5C%5C%5C%5C%5Cfrac%7B5%5Csqrt%7B11%7D%20%2B5%5Csqrt%7B3%7D%7D%7B11%20-3%7D%5C%5C%5C%5C%5C%5C%5Cfrac%7B5%5Csqrt%7B11%7D%20%2B5%5Csqrt%7B3%7D%7D%7B8%7D)
Once we sort through the tax terms, that's just
9258.13 - 3650 - 5700 = $ -91.87
A negative numbers mean the deduction and exemption sheltered all of his income, so he has $0 taxable income, choice D.
How is it possible to know how much he started with? Or is it not asking for an exact amount?
Answer:
1. 94.25 is the surface area, 94.25 to 56.55 is the ratio of surface area to volume
2.138.23 is the surface area 138.23 to 113.1 is the ratio of surface area to volume