To solve, lets find the volumes of all of the options...
V=l*w*h
A.
6*3*4=72cm³
12*2*3=72cm³
B.
2*4*9=72cm³
9*4*2=72cm³
C.
3*3*8=72cm³
2*6*8=96cm³
D.
6*3*4=72cm³
9*4*3=108cm³
We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.
Now lets solve for the surface area of A and B...
A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²
B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²
A is the only option with both similar volumes of 72cm³ and different surface areas...
Answer=A
Answer:
65°
Step-by-step explanation:
We know that every triangle is equal to 180 degrees. Therefore, you have to subtract all angles by 180 to find what the missing angle is. The missing angle is 180-68-47. You can simplify this to 180-115. This is equal to 65. Therefore, the missing angle is 65 degrees.
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Answer:
Step-by-step explanation:
B=brackets
i= indices
D= division
M=multiplication
A= addition
S= subtraction
7x10000/5x100/6x1
7x10000=70000/500/6
70000/500=140/6= 23.33
![\displaystyle\sum_{n=1}^\infty\left(1+\frac5n\right)^n](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%5Cinfty%5Cleft%281%2B%5Cfrac5n%5Cright%29%5En)
Notice that
![\displaystyle\lim_{n\to\infty}\left(1+\frac5n\right)^n=e^5\neq0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cleft%281%2B%5Cfrac5n%5Cright%29%5En%3De%5E5%5Cneq0)
which means the series is divergent. So if this is one of those "select all that apply" questions, then both (c) and (j) are the only choices that do.
Add them all together and divide by the number of variables here there are four and the answer is 1.25 or 5/4