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ale4655 [162]
3 years ago
12

What is the square root of 196

Mathematics
2 answers:
Ann [662]3 years ago
8 0
The answer would be 14 because 14 times 14 = 196. Square roots are numbers that can multiply itself to equal a number.
Sergeu [11.5K]3 years ago
4 0
Well,

14^{2} = 196

Therefore, the <em>positive </em>square root of 196 is 14.

The <em>negative</em> square root of 196 is -14, as every number has both a positive and negative square root.
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A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer
Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

L_A \to length of play area A

W_A \to width of play area A

L_B \to length of play area B

W_B \to width of play area B

x \to Area of A

y \to Area of B

From the question, we have the following:

L_A = 1 + 4W_A

W_B = 2 + W_A

L_B = 2 + 3W_B

x = y

The area of A is:

x = L_A * W_A

This gives:

x = (1 + 4W_A) * W_A

Open bracket

x = W_A + 4W_A^2

The area of B is:

y = L_B * W_B

y = (2 + 3W_B) * ( 2 + W_A)

Substitute: W_B = 2 + W_A

y = (2 + 3(2 + W_A)) * ( 2 + W_A)

Open brackets

y = (2 + 6 + 3W_A) * ( 2 + W_A)

y = (8 + 3W_A) * ( 2 + W_A)

Expand

y = 16 + 8W_A + 6W_A + 3W_A^2

y = 16 + 14W_A + 3W_A^2

We have that:

x = y

This gives:

W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2

Collect like terms

4W_A^2 - 3W_A^2 + W_A  -14W_A  - 16 =0

W_A^2  -13W_A  - 16 =0

Using quadratic calculator, we have:

W_A = -14.1 or W = 1.13 --- approximated

But the width can not be negative; So:

W = 1.19

7 0
3 years ago
3. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.
dlinn [17]
Part A: The probability is 1/6. This is because there are six options in total, and only one of those options is 6.

Part B: The probability is 6/6, or alternatively 100%. This is because that the probability of rolling a 6 is 1/6, and the probability of rolling any of the other options is 5/6. Adding them together gives a probability of 6/6.

Part C: The probability is 5/6. This is because there are six options, and of those, five of them are not 6.
3 0
3 years ago
Read 2 more answers
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