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emmainna [20.7K]
3 years ago
15

A rectangle's area is given by the expression 6n2-n+

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Answer:

Length of rectangle:    2n - (1/3)  + 9/(3n)

Width of rectangle =  3n

Rectangle area  = A = 6 n^2  - n + 9

Step-by-step explanation:

Rectangle area  = A = 6 n^2  - n + 9

test what the roots are:    b^2 - 4ac  = (-1)^2 - 4*6*9 < 0  no real roots

-215 < 0  discriminant

(6 n^2  - n + 9)  / (3n) =

2n  -  (1/3)  +  9/(3n)

If the area is divided by 3n,  the quotient is  2n - (1/3) and the remainder is 9

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3 years ago
PLEASE HELP ONLY IF RIGHT 50 POINTS AND BRAINLIEST PLUS THANK YOU AND 5 STARS. My cousin need help.
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Answer:

1) Number of scoops = 42

2)Number of scoops = 10

Step-by-step explanation:

Volume of the sink = (4000/3)π in³

1)

Diameter = 4 in      ∵   Radius = 4/2 = 2 in

Height = 8 in

Volume of the cylindrical cup =  \pi r^{2}h  =  \pi 2^{2} * 8  =  32\pi in³

Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup

= (4000/3)π / 32π    ==>  42

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b)

Diameter = 8 in    ∵   Radius = 8/2 = 4 in

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= (4000/3)π / 128π ==> 10

Number of scoops = 10

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