Michael has a fish tank that has a length of 7 inches, a width 6 inches and and height of 8 inches. What is the total surface area of the fish tank ?

250in².

Step-by-step explanation:

Total surface area of the fish tank wil be, listen we can can derive a formula for the surface area.

The fish tanks has five surfaces since the top will be opened. For fnd the total surface area now, find the area of each of the surfaces and add together. If it is 6 surfaces, the formula would have been.

2(lb) + 2(lb) + 2(lb)

2( lb + lb + lb )

Now , first (lb) = 7 × 6in²= 42in² ie. the top and the bottom,

Second surfaces, the sides

7 × 8 = 56in²

The third is the other sides

6 × 8 = 48in². Now applying the formula now, bearing in mind that the top is open, we now have

42in² + 2( lb + lb )in²

= 42 + 2( 56 + 48 )

= 42 + 2(104)

= 42 + 208

= 250in².

Note, if the tank or box is closed, then the above derived formula could be suitable.

The height is also regarded as the depth.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6