The difference is 3ft since the surface area for the prism is 57, and the surface area for the cube is 54.

You can use the surface area formula
2(wl+hl+hw) = Area
2·(3·4.5+2·4.5+2·3)=57

And a cubes surface area formula
6a^2 = Area
6·32=54

3 0

3 years ago

If x+2y=3 and xy=2 show that x³+8y³+9=0

kicyunya [14]

Step-by-step explanation:

<u>Given</u>

x + 2y = 3 and xy = 2
show that x³ + 8y³ + 9 = 0

<u>Solution in steps:</u>

(x + 2y)³ = 3³
x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
x³ + 6x(xy) + 12y(xy) + 8y³ = 27
x³ + 8y³ + 6(x + 2y)xy = 27 ⇒ Substitute values
x³ + 8y³ + 6*3*2 = 27
x³ + 8y³ + 36 - 27 = 0
x³ + 8y³ + 9 = 0

Done

4 0

2 years ago

Chloe's college raises the cost of room and board per semester. This increase raises Chloe's opportunity cost of attending colle

drek231 [11]

Answer:

The answer is "Option C"

Step-by-step explanation:

The choices were missing in the question, which is defined in the attached file please find it.

To attend university, Chole should pay the cost of a room and board each semester. Even though the Chole will not be in college, she will still have a room as well as a board and continue living.

If she will not attend college, it also has to equate rooms and board costs per six months since increase towards the room or board charges.
If there's an increase in rooms and boarding costs because she did not understand below the rise in their school fees, therefore the financial cost reduces that desire of she attend.

5 0

3 years ago

All help is needed. Thanks :)

Paraphin [41]

Answer:

Step-by-step explanation:

8 0

2 years ago