From the equation, you can see that (3,-2) is the center of the circle (the terms are 0 for those x,y values). The mentioned point has the same y value as the center. That's good news, because it tells us that the tangent line is exactly vertical. The x coordinate is given as x=8. Vertical lines have an equation of x=... so x=8 is the right answer.
Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem
![30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches](https://tex.z-dn.net/?f=30%5E2%3Dx%5E2%2Bx%5E2%5C%5C900%3D2x%5E2%5C%5Cx%5E2%3D450%5C%5Cx%3D%5Csqrt%7B450%7D%5C%5Cx%3D21.21%24%20inches)
Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
Answer:
![76 W *\frac{1kW}{1000 W}= 0.076 kW](https://tex.z-dn.net/?f=%2076%20W%20%2A%5Cfrac%7B1kW%7D%7B1000%20W%7D%3D%200.076%20kW)
![0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}](https://tex.z-dn.net/?f=%200.076%20kW%20%2A%206.3%20%5Cfrac%7Bhours%7D%7Bday%7D%3D%200.4788%20%5Cfrac%7BkWh%7D%7Bday%7D)
![113x10^6 people * \frac{0.4788 kWh}{people}= 54104400 kWh](https://tex.z-dn.net/?f=%20113x10%5E6%20people%20%2A%20%5Cfrac%7B0.4788%20kWh%7D%7Bpeople%7D%3D%2054104400%20kWh)
And finally we can convert this into money like this:
![54104400 kWh *\frac{0.089 dollars}{1 kWh}= 4815291.6](https://tex.z-dn.net/?f=54104400%20kWh%20%2A%5Cfrac%7B0.089%20dollars%7D%7B1%20kWh%7D%3D%204815291.6)
So they spent every day approximately in total $ 4815291.6 dollars
Step-by-step explanation:
For this case we can convert the average power into Kw like this:
![76 W *\frac{1kW}{1000 W}= 0.076 kW](https://tex.z-dn.net/?f=%2076%20W%20%2A%5Cfrac%7B1kW%7D%7B1000%20W%7D%3D%200.076%20kW)
Now on average we know that one person use on average this power over 6.3 hours per day so then we have the following consumption rate:
![0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}](https://tex.z-dn.net/?f=%200.076%20kW%20%2A%206.3%20%5Cfrac%7Bhours%7D%7Bday%7D%3D%200.4788%20%5Cfrac%7BkWh%7D%7Bday%7D)
And now we know the total population so then the total consumption per day would be:
![113x10^6 people * \frac{0.4788 kWh}{people}= 54104400 kWh](https://tex.z-dn.net/?f=%20113x10%5E6%20people%20%2A%20%5Cfrac%7B0.4788%20kWh%7D%7Bpeople%7D%3D%2054104400%20kWh)
And finally we can convert this into money like this:
![54104400 kWh *\frac{0.089 dollars}{1 kWh}= 4815291.6](https://tex.z-dn.net/?f=54104400%20kWh%20%2A%5Cfrac%7B0.089%20dollars%7D%7B1%20kWh%7D%3D%204815291.6)
So they spent every day approximately in total $ 4815291.6 dollars
The question asked in this query is the place order of the
number value 20.4 and what is the tenths?
We can further explain the state order values of the number
is expanded form thus,
<span><span>1.
</span>20.0 – tens</span>
<span><span>
2.
</span>0.4 – tenths</span>
Now, which is the tenths in the number? It is the digit
number of 0.4