B= 9.49
Explanation:
Pythagorean theorem is a^2+b^2=c^2 soo 10^2 or 100-10=90 and the square root of 90 is 9.4868 simplified 9.49
Answer:
2.85 x 10^4
Step-by-step explanation:
Answer:
h = 11/g - 3/5
Step-by-step explanation:
![g ( h + \frac{3}{5} ) = 11 \\\\Divide\:both\:sides\:of\:the\:equation\:by\:g \:;\\\frac{g(h+\frac{3}{5}) }{g} = \frac{11}{g} \\\\h + \frac{3}{5} = \frac{11}{g} \\\\Move\: 3/5\: to\: the\: right\:and\:change\:its\:sign\\h = \frac{11}{g} -\frac{3}{5}](https://tex.z-dn.net/?f=g%20%28%20h%20%2B%20%5Cfrac%7B3%7D%7B5%7D%20%20%29%20%3D%2011%20%5C%5C%5C%5CDivide%5C%3Aboth%5C%3Asides%5C%3Aof%5C%3Athe%5C%3Aequation%5C%3Aby%5C%3Ag%20%5C%3A%3B%5C%5C%5Cfrac%7Bg%28h%2B%5Cfrac%7B3%7D%7B5%7D%29%20%7D%7Bg%7D%20%3D%20%5Cfrac%7B11%7D%7Bg%7D%20%5C%5C%5C%5Ch%20%2B%20%5Cfrac%7B3%7D%7B5%7D%20%3D%20%5Cfrac%7B11%7D%7Bg%7D%20%5C%5C%5C%5CMove%5C%3A%203%2F5%5C%3A%20to%5C%3A%20the%5C%3A%20right%5C%3Aand%5C%3Achange%5C%3Aits%5C%3Asign%5C%5Ch%20%3D%20%5Cfrac%7B11%7D%7Bg%7D%20-%5Cfrac%7B3%7D%7B5%7D)
Answer:
A. Last month's electricity bill was 5.4 kW-h less than 30% of this month's bill.
Step-by-step explanation:
The given expression is:
![30\%(b-18)=30\%b-5.4](https://tex.z-dn.net/?f=30%5C%25%28b-18%29%3D30%5C%25b-5.4)
The above expression tells us that 30% is of the quantity 'b' and 5.4 is being subtracted from the result of the percentage.
Choice A:
If we consider the present month's bill as 'b'. Then 30% of present month's bill can be represented as 30% of b = 30%b.
Now, if the previous month's bill is 5.4 kW-h less than 30% of this month's bill, then this statement can be represented as:
Previous bill = 30% of Current bill - 5.4 = ![30\%b-5.4](https://tex.z-dn.net/?f=30%5C%25b-5.4)
Hence, choice A justifies the given expression.
Choice B:
The expression for choice B could be number of songs available for download from 30% of 'b' artists is
.
Choice C:
5.4 speeches doesn't make any sense.
Choice D:
5.4 less than 'b' bowls mean
. Now, 30% of this is
.
This is also not the correct expression.
Therefore, only choice A is the correct justification of the given expression.