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Sati [7]
3 years ago
10

a parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. what is the perimeter of the pa

rallelogram? (also i’ll be giving out brainiest to those who provide the correct answer and don’t leave a link)
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0

Answer:

P = 20 cm

Step-by-step explanation:

The appropriate formula is P = 2W + 2L.

Here that comes to P = 2(6 cm) + 2(4 cm) = 20 cm

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Find the sum of the first 47 terms of the following series, to the nearest integer.
Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

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The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

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3 years ago
Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly,
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Work Shown:

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Answer:

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