Answer:
9ft
Step-by-step explanation:
The base area of the storage is its volume divided by height
![A = \frac{V}{h} = \frac{607.5}{7.5} = 81 ft^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7BV%7D%7Bh%7D%20%3D%20%5Cfrac%7B607.5%7D%7B7.5%7D%20%3D%2081%20ft%5E2)
Since this base is a square, its length and width is of equal length, which is
![\sqrt{A} = \sqrt{81} = 9ft](https://tex.z-dn.net/?f=%5Csqrt%7BA%7D%20%3D%20%5Csqrt%7B81%7D%20%3D%209ft)
I hope this helps you
0,2 close 1
0,2>0,04
Answer:
![y(x)=c_1e^{2ix}+c_2e^{-2ix}](https://tex.z-dn.net/?f=y%28x%29%3Dc_1e%5E%7B2ix%7D%2Bc_2e%5E%7B-2ix%7D)
Step-by-step explanation:
You have the following differential equation:
(1)
In order to find the solution to the equation, you can use the method of the characteristic polynomial.
The characteristic polynomial of the given differential equation is:
![3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i](https://tex.z-dn.net/?f=3m%5E2%2B12%3D0%5C%5C%5C%5Cm%5E2%3D-%5Cfrac%7B12%7D%7B3%7D%3D-4%5C%5C%5C%5Cm_%7B1%2C2%7D%3D%5Cpm2%5Csqrt%7B-1%7D%3D%5Cpm2i)
The solution of the differential equation is:
(2)
where m1 and m2 are the roots of the characteristic polynomial.
You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:
![y(x)=c_1e^{2ix}+c_2e^{-2ix}](https://tex.z-dn.net/?f=y%28x%29%3Dc_1e%5E%7B2ix%7D%2Bc_2e%5E%7B-2ix%7D)
For example, the probability of an outcome of heads on the toss of a fair coin is ½ or 0.5. The probability of an event can also be expressed as a percentage (e.g., an outcome of heads on the toss of a fair coin is 50% likely) or as odds (e.g., the odds of heads on the toss of a fair coin is 1:1).
Answer:
In fact, the AB could be calculated in a quickest way, using Pythagorean theorem. In here, we try to use the property of trigonometry to work out AB.
Before applying trigonometry, in this right triangle we can calculate the remaining angle C:
C = 180 - 90 - A = 180 - 90 - 53.13 = 36.87 deg
We can use cosine formula, but here we use the sine formula for the sake of convenience. We have:
sine(angle measure) = ratio of opposite side over hypotenuse
In detail, sineC = AB/BC
Then, we have: AB = BC x sineC = 15 x sin(36.87 deg) = 9.000002 = ~9 ft
Hope this helps!
:)