ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

to rationalize the radical

Thus, each leg is 5\sqrt{2} [/tex].
Answer: 
Step-by-step explanation:
Given : The fuel efficiency of car = 7.6 km per kilogram
We also given that
1 mile = 1.609 km
Then, 
1 gallon = 3.785 liters

1 liter of gasoline = 0.729 kg
Then, 

Now, the fuel efficiency of car will be :

Hence, the car’s fuel efficiency in miles per gallon= 4.5
Answer:
$27.59
Step-by-step explanation:
You multiply 30 dollars by 0.85 (1-0.15, with the 0.15 being for the 15 percent off). Which gets you to $25.50, and you then multiply it by 1.082 (the 1.082 being the tax, and the .082 part equating to the 8.2% tax percentage).
I’m just trying so much better to talk now but it’s just a good 256
Answer:
The expression $32/x represents the price per pound.
Step-by-step explanation:
Given:
$32 for X pounds of beef ribs.
Now, the symbol which represents the per is this → / .
So, $
shows the expression for the price per pound.
Therefore, the expression $32/x represents the price per pound.