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.
![AB = \frac{10}{\sqrt{2}}](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Cfrac%7B10%7D%7B%5Csqrt%7B2%7D%7D%20%20%20%20%20%20%20%20)
to rationalize the radical
![= \frac{10\sqrt{2}}{2} = 5\sqrt{2}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B10%5Csqrt%7B2%7D%7D%7B2%7D%20%3D%205%5Csqrt%7B2%7D%20%20%20%20)
Thus, each leg is 5\sqrt{2} [/tex].
Answer:
As few as just over 345 minutes (23×15) or as many as just under 375 minutes (25×15).
Imagine a simpler problem: the bell has rung just two times since Ms. Johnson went into her office. How long has Ms. Johnson been in her office? It could be almost as short as just 15 minutes (1×15), if Ms. Johnson went into her office just before the bell rang the first time, and the bell has just rung again for the second time.
Or it could be almost as long as 45 minutes (3×15), if Ms. Johnson went into her office just after the bells rang, and then 15 minutes later the bells rang for the first time, and then 15 minutes after that the bells rang for the second time, and now it’s been 15 minutes after that.
So if the bells have run two times since Ms. Johnson went into her office, she could have been there between 15 minutes and 45 minutes. The same logic applies to the case where the bells have rung 24 times—it could have been any duration between 345 and 375 minutes since the moment we started paying attention to the bells!
Step-by-step explanation:
Answer: They are not inverse.
Step-by-step explanation:
Answer:
Step-by-step explanation:
You will have to write out the following:
25% of 24= ?
Then go ....turn 25 into a decimal
.25 x 24
24
x.25
——— ——) Which equals 6
Follow these steps on any one and as long as ur multiplication is right the answer will be right
Answer:
181 ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
To find how many hours they work per month multiply the amount of hours they work each day by the amount of days they work in a month:
They work
hours per month.
Hope this helps :)