Name 3 properties of A in a quadratic formula.

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

3 0

3 years ago

What is 3 divided by 743?

sleet_krkn [62]

I think its 0.004. i just did it on my calculator

7 0

3 years ago

What is the surface area of the figure 8" 8" 12"

fgiga [73]

First, find the surface area of the bigger sides (there are 4 of them so what you get for one you will multiply by 4)

12 x 8 = 96

96 x 4 = 384

Then find the surface area of the smaller sides ( there are two small sides so multiply your answer by two)

8 x 8 = 64

64 x 2 =128

Then add both together

128 +384 = 512

Hope this helps :)

3 0

3 years ago

For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 5 meters.

Vinvika [58]

Answer:

B

Step-by-step explanation:

you divide 140 by 5 so 28 is the answer

3 0

3 years ago

Read 2 more answers

If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilitie

german

9514 1404 393

Answer:

ABHGEFDCA
does not exist
ECBADFE

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

6 0

2 years ago