Answer:
88.6
Step-by-step explanation:
A=4(pi)r^2/3
D=9.2 : r=4.6
A=4(3.14)(4.6^2)/3=88.5898667
Answer:
2.25 , 5.0625 .
Step-by-step explanation:
Bayani dilates a digital photograph by a factor of 2.25 to create a new digital photograph similar to his original photograph.
The perimeter of Bayani's new photograph is 2.25 times larger the perimeter of his original photograph.
![2.25^{2} = 5.0625](https://tex.z-dn.net/?f=2.25%5E%7B2%7D%20%3D%205.0625)
The area of his new photograph is 5.0625 times larger than the area of his original photograph.
<u>Answer:</u>
The correct answer option is E. 54 square inches.
<u>Step-by-step explanation:</u>
We are given that the length of one edge of a cube is 3 inches long and we are to find its surface area.
We know that the formula of the surface area of a cube is given by:
![Surface Area of Cube = 6 a^2](https://tex.z-dn.net/?f=%20Surface%20Area%20of%20Cube%20%3D%206%20a%5E2%20)
Substituting the given values in the above formula to get:
Surface area of cube
54 square inches
Guessing on how the system is expressed:
![\begin{bmatrix}x_1\\x_2\end{bmatrix}'=\begin{bmatrix}1&-2\\2&1\end{bmatrix}\begin{bmatrix}x_1\\x_2\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dx_1%5C%5Cx_2%5Cend%7Bbmatrix%7D%27%3D%5Cbegin%7Bbmatrix%7D1%26-2%5C%5C2%261%5Cend%7Bbmatrix%7D%5Cbegin%7Bbmatrix%7Dx_1%5C%5Cx_2%5Cend%7Bbmatrix%7D)
The coefficient matrix has eigenvalues
![\lambda=1+2i](https://tex.z-dn.net/?f=%5Clambda%3D1%2B2i)
with corresponding eigenvectors
![\begin{bmatrix}\pm i&1\end{bmatrix}^\top](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%5Cpm%20i%261%5Cend%7Bbmatrix%7D%5E%5Ctop)
. This means the characteristic solution is
![\begin{bmatrix}x_1\\x_2\end{bmatrix}=Ce^{(1+2i)t}\begin{bmatrix}i\\1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dx_1%5C%5Cx_2%5Cend%7Bbmatrix%7D%3DCe%5E%7B%281%2B2i%29t%7D%5Cbegin%7Bbmatrix%7Di%5C%5C1%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}x_1\\x_2\end{bmatrix}=Ce^t(\cos2t+i\sin2t)\begin{bmatrix}i\\1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dx_1%5C%5Cx_2%5Cend%7Bbmatrix%7D%3DCe%5Et%28%5Ccos2t%2Bi%5Csin2t%29%5Cbegin%7Bbmatrix%7Di%5C%5C1%5Cend%7Bbmatrix%7D)
17) 388 in^2
18) 585 in^2
19) 960 ft^2
*fyi- ^2 means squared just in case you didn’t know also hope the picture helps!