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Calculate the following. Express your answer as a decimal. (11.3+10)/((2.9-24.6)²)

A) 0.04538
B) 0.00004
C) 4.538
D) 0.4538

1 Answer

7 votes

Final answer:

To calculate the given expression, follow the order of operations (PEMDAS/BODMAS). Start by solving the numerator first: 11.3 + 10 = 21.3. Then, solve the denominator: 2.9 - 24.6 = -21.7. Finally, divide the numerator by the denominator: 21.3 ÷ 472.89 = 0.04501.

Step-by-step explanation:

To calculate the given expression, follow the order of operations (PEMDAS/BODMAS). Start by solving the numerator first: 11.3 + 10 = 21.3.

Then, solve the denominator: 2.9 - 24.6 = -21.7. Next, square the result: (-21.7)² = 472.89.

Finally, divide the numerator by the denominator: 21.3 ÷ 472.89 = 0.045005.

Rounded to five decimal places, the answer is 0.04501. In decimal form, this would be represented as approximately 0.04501.

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