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fiasKO [112]
3 years ago
12

What is the base 8 representation of the number 11100111

Mathematics
1 answer:
katovenus [111]3 years ago
6 0

If the given number is in base 2, that means

11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1

8 = 2³, and so we have

11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1

11100111₂ = 3 • 8² + 4 • 8 + 7

11100111₂ = 347₈

Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:

11 100 111

11₂ = 2 + 1 = 3

100₂ = 2² = 4

111₂ = 2² + 2 + 1 = 7

so again we get 347₈.

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The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures (5x +19)º
lapo4ka [179]

Answer:

third angle = (-6x + 161)°

Step-by-step explanation:

180° = (x)° + (5x + 19)° + third angle →

180° = (6x + 19)° + third angle →

180° – (6x + 19)° = (6x + 19)° + third angle – (6x + 19)° →

180° – (6x + 19)° = third angle →

180° + -(6x + 19)° = third angle →

180° + (-6x)° + (-19)° = third angle

180° – 6x° – 19° = third angle

(180° – 19°) – 6x° = third angle

161° – 6x° = third angle

third angle = 161 – 6x°

third angle = -6x° + 161°

third angle = (-6x + 161)°

8 0
3 years ago
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elixir [45]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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skelet666 [1.2K]

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Step-by-step explanation:

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Step-by-step explanation:

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What does -8+(-12) / (-4) equal too?
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Answer:

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Step-by-step explanation:

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