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Zanzabum
3 years ago
7

A cuboid with a volume of 924 cm^3 has dimensions

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

21

Step-by-step explanation:

Volume of a cuboid is given by

V = l*w*h

924 = 4 (x+1) (x+11)

FOIL

924 = 4(x^2 +11x+x+11)

924 = 4(x^2+12x+11)

Divide each side by 4

231 = (x^2+12x+11)

Subtract 231 from each side

0 = x^2 +12x +11-231

0 = x^2 +12x - 220

Factor

0 = (x+22) (x-10)

Using the zero product property

x+22 =0  x-10 =0

x=-22  x=10

We cannot have a negative length

x=10

The side lengths are 4, 10+1, 10+11

4,11,21

The longest is 21

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BRAINLIEST ANSWER AND 98 POINTS!!!!
Alex73 [517]

Answer:

P (g1, g2) = P(g1) * P(g2) = 1/2 * 1/2 = 1/4

P (r1, r2) = P(r1) * P(r2) = 1/5 * 1/5 = 1/25

P ( b1, g1 or g1 b2) = 3/20 + 3/20  = 6/20 = 3/10

P ( b1, g1 or g1 b2) = 1/10 + 1/10  = 2/10 = 1/5

Step-by-step explanation:

How many marbles are there?

5 green, 3 black, and 2 red marbles = 10 marbles

P ( green marbles) = green/ total = 5/10 = 1/2

Then she puts it back, so there are still 10 marbles

P (2nd marble is green) = green/ total = 5/10 = 1/2

These are independent events ( since the marble is replaced)

P (g1, g2) = P(g1) * P(g2) = 1/2 * 1/2 = 1/4


P ( red marble) = red/ total = 2/10 = 1/5

Then she puts it back, so there are still 10 marbles

P (2nd marble is red) = red/ total = 2/10 = 1/5

These are independent events ( since the marble is replaced)

P (r1, r2) = P(r1) * P(r2) = 1/5 * 1/5 = 1/25


P ( black marble) = black/ total = 3/10

Then she puts it back, so there are still 10 marbles

P (2nd marble is green) = green/ total = 5/10 = 1/2

These are independent events ( since the marble is replaced)

P (b1, g2) = P(b1) * P(g2) = 3/10 * 1/2 = 3/20

This is if order matters, but I will assume order does not matter since the key word then is not there it just says and

If order doesn't matter, just that she has a black and green marble

The we multiply it by 2  because

P (b2, g1) = P(b2) * P(g1) = 1/2 * 3/10 = 3/20

We add the probabilities when it is or

P ( b1, g1 or g1 b2) = 3/20 + 3/20  = 6/20 = 3/10


P ( green marble) = green/ total = 5/10=1/2

Then she puts it back, so there are still 10 marbles

P (2nd marble is red) = red/ total = 2/10 = 1/5

These are independent events ( since the marble is replaced)

P (g1, r2) = P(g1) * P(r2) = 1/2 * 1/5 = 1/10

This is if order matters but I will assume order does not matter since the key word then is not there it just says and

If order doesn't matter, just that she has a green and red marble

The we multiply it by 2  because

P (r1, g2) = P(r1) * P(g2) = 1/5 * 1/2 = 1/10

We add the probabilities when it is or

P ( b1, g1 or g1 b2) = 1/10 + 1/10  = 2/10 = 1/5

3 0
3 years ago
I need help wit this
kramer

Answer:

Step one is incorrect

Step-by-step explanation:

4 0
3 years ago
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