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tresset_1 [31]
3 years ago
11

Convert the binary number 10101 to its base 10 equivalent. 12 21 22 31

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
7 0

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

romanna [79]3 years ago
4 0

Here see below

\\ \sf\Rrightarrow (10101)_2

\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4

\\ \sf\Rrightarrow 1+4+16

\\ \sf\Rrightarrow (21)_{10}

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Answer:

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6x - 12 = 2 (3x - 9) + 6
sergey [27]

Answer:

6x + -12 = 3x + 9

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Step-by-step explanation:

12 + 6x = 9 + 3x

-12 + 6x = 9 + 3x

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6 0
3 years ago
Given: △ABC, m∠A=60°, m∠C=45°, AB=9 Find: Perimeter of △ABC, Area of △ABC do not rationlize
dexar [7]

Answer:

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Step-by-step explanation:

1. Calculate ∠B

∠A + ∠B + ∠C = 180°

60° + ∠B + 45° = 180°

       ∠B + 105° = 180°

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2. Find sides BC and AC

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\dfrac{\sin A}{BC} = \dfrac{\sin B}{AC} = \dfrac{\sin C}{AB}

(i) Find BC

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(ii) Find AC

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p = AB + AC + BC = 9 + 12.29 + 11.02 = 32.32

4. Find the area of the triangle

A general formula for the area of a triangle is

A = ½ab sinC

If we use ∠A, the formula becomes

A = ½ × 9 × 12.29 × sin60° = 55.30 × 0.8660 = 47.91

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