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azamat
3 years ago
8

Which expression gives the sum of the interior angles of a simple polygon with n sides?

Mathematics
1 answer:
pogonyaev3 years ago
8 0

Answer:

B

Step-by-step explanation:

C and D are not simplified to lowest terms, and recalling that the sum of the interior angles of a square is 360, A does not work.

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Step-by-step explanation:

We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,

→ (a + b)² = a² + b² + 2ab

→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)

We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)

Solve the brackets, to do so first put the like terms in one box.

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)

Solve the rest calculations.

→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)

→ (2√5 + 3√2)² = 38 + 12√10

Option (a) (38 + 12√10) is the correct option.

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Step-by-step explanation:

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When the little superscript number is negative, you move the decimal point to the left:

6.04 × 10⁻³ = 0.00604 (make sure to add a zero before the decimal too).

When you write a standard form number, you have to make sure the number is larger than 0 and less than 10, so converting a number like 2,400,000 would be 2.4 × 10⁵, because you're moving the decimal place 5 times to get 2,400,000.

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