Hank has just purchased a small rectangular fish tank that holds 620.1 milliliters of water. The tank has a width of 5.3 cm and
a height of 9 cm.
What is the length of the fish tank?
(1 milliliter is equal to 1 cubic centimeter)
A. 13 cm
B. 10 cm
C. 15 cm
D. 14 cm
What is the length of the fish tank?
(1 milliliter is equal to 1 cubic centimeter)
A. 13 cm
B. 10 cm
C. 15 cm
D. 14 cm
1 answer:
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You solve the equation : t^2 - 9t - 90 = 0 ;
Δ = ( - 9 )^2 - 4 * 1 * ( - 90 ) = 81 + 360 = 441 ;
t1 = ( 9 +
) / 2 = 30 / 2 = 15 ;
t2 = ( 9 -) / 2 = -12 / 2 = - 6 ;
The numbers are 15 and - 6 ;
Δ = ( - 9 )^2 - 4 * 1 * ( - 90 ) = 81 + 360 = 441 ;
t1 = ( 9 +
t2 = ( 9 -
The numbers are 15 and - 6 ;
To find the area of a rectangle, we multiply the Base by the Height. In this case the: Base = AB and Height = BC
So to get the area, we multiply AB by BC. (and we know that <em>BC = 5x+5/x+3</em> <em>and BC = [3x+9/2x-4)</em>
So we would do:
x
Note: When multiplying fractions together, we multiply the numerator by the numerator, and the denominator by the denominator.
For example x
=
Answer: x
=
=
[<em>Note: </em><em>we are able to factorise some brackets to make the sum easier. For example we can factor out the 5 in (5x+5) to get: 5(x+1) ]</em>
Now lets simplify by multiplying the 5 and 3 together in the numerator:
=
If you notice, there is a (x+3) in numerator and the denominator. This means that we can cancel out the (x+3), to get the most simplified expression for the area:
=
Final Simplified Answer: which is the last option