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AnnyKZ [126]
3 years ago
8

We know the following about the numbers a, b and c:

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Step-by-step explanation:

(a + b)² = 9

(b + c)² = 25

(a + c)² = 81

Taking the square root:

a + b = ±3

b + c = ±5

a + c = ±9

By adding these three equations together and dividing both sides by 2, we get the value of a + b + c.

Possible combinations for a + b + c such that the sum is greater than or equal to 1 are:

a + b + c = (-3 + 5 + 9)/2 = 11/2

a + b + c = (3 − 5 + 9)/2 = 7/2

a + b + c = (3 + 5 + 9)/2 = 17/2

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3 years ago
6 in.
asambeis [7]

Answer:

152 square inches

Step-by-step Explanation:

To answer this, please look at the picture below. We can find the area by separating and combine the value of areas after calculating three values for each areas. (Notice that when we separate them, we get three rectangles which we can use the formula of width × length)

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3 years ago
Juan purchased an antique that had a value of \$200$200dollar sign, 200 at the time of purchase. Each year, the value of the ant
garri49 [273]

Answer:

<h2>The value of a is (\frac{11}{10} )^{222}.</h2>

Step-by-step explanation:

At the time of purchase, the value of the antique is $200.

After one year the value will increase 10%.

Hence, after one year, the value of the antique will be \frac{110}{100} \times200 = 220.

Similarly, after two year, the value will be 200\times (\frac{110}{100} )^{2}.

Thus, 222 years after purchase, the value of the antique will be 200\times (\frac{110}{100} )^{222} = 200\times (\frac{11}{10} )^{222}.

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4 years ago
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