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pashok25 [27]
2 years ago
13

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11)cm.

Mathematics
1 answer:
Marta_Voda [28]2 years ago
3 0

Answer:

Dimensions = 4cm, 11cm and 21cm

  OR

Dimensions = 4cm, -21cm and -11cm

Step-by-step explanation:

Solving the quadratic equation by using the factorization method;

x² + 12x - 220 = 0

Factors = 22 and -10

x² + 22x - 10x - 220 = 0

x(x + 22) - 10(x + 220) = 0

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

Therefore, x = 10 or x = -22

<u>Given the following data;</u>

Length of one side = (x + 1)cm

<u>When x = 10</u>

Length of one side = (10 + 1)cm

Length of one side = 11cm.

<u>When x = -22 </u>

Length of one side = (-22 + 1)cm

Length of one side = -21cm

Length of the other side = (x + 11)cm

<u>When x = 10</u>

Length of the other side = (10 + 11)cm

Length of the other side = 21cm

<u>When x = -22 </u>

Length of the other side = (-22 + 11)cm

Length of the other side = -11cm

<u>Check;</u>

Volume of a cuboid = L*L*L

Volume of a cuboid = 4 * 11 * 21

Volume of a cuboid = 924cm³

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20x^2=256+128x. Solve by Factoring.
givi [52]
Hey there,
20x ^ 2 = 256 + 128x
400x = 256 + 128x
400x - 128x = 256
272x = 256
x = 256 / 272
   = <span>0.94117647058
   =0.9

Hope this helps :))

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8 0
3 years ago
What is the surface area of a cube whose edges are 11 inches long?
Dennis_Churaev [7]
Surface area is the total area of the surface. A cube has 6 surface, and each surface is the same. Each surface is a 11 by 11 square. Therefore there will be 6 11in. x 11in. surfaces. The math would be 11x11x6 =726.
8 0
3 years ago
Read 2 more answers
App 19.study
lions [1.4K]

Answer:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

Step-by-step explanation:

Given

n = 125

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

Pr = \frac{Frequency}{n}

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

Pr(2) = \frac{13}{125} = 0.104

Pr(4) = \frac{29}{125} = 0.232

Pr(6) = \frac{6}{125} = 0.048

When the frequency is to be calculated, we use:

Pr = \frac{Frequency}{n}

Frequency = n * Pr

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

Frequency(3) = 125 * 0.144 = 18

Frequency(5) = 125 * 0.296 = 37

For roll of 1 where the frequency and the probability are not known, we use:

Total \ Frequency = 125

So:

Frequency(1) added to others must equal 125

This gives:

Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125

Frequency(1) + 103 = 125

Collect like terms

Frequency(1) =- 103 + 125

Frequency(1) =22

The probability is then calculated as:

Pr(1) = \frac{22}{125}

Pr(1) = 0.176

So, the complete table is:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

5 0
3 years ago
What is the inverse operation of division?
Step2247 [10]

Answer:

multiplication

7 0
3 years ago
Read 2 more answers
Pls help me with 1 and 2 plzzzz
kupik [55]

Answer:

1. First choice, 1/2

2. First choice, 1/2

Step-by-step explanation:

3 odd numbers on a dice, so 3/6 = 1/2

12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2

7 0
2 years ago
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