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ludmilkaskok [199]
3 years ago
8

Plsss need help ans this or the before one​

Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

Answer:

  1

Step-by-step explanation:

Use the form for the factoring of the sum of cubes.

To make this easier to write, we'll use the substitutions ...

  a = sin(θ), b = cos(θ)

It looks like you may want to simplify ...

  (a³ +b³)/(a +b) +ab

  = ((a +b)(a² -ab +b²))/(a +b) +ab

The factors of (a+b) cancel. In this case, we know that a² +b² = 1, so this becomes ...

  = (1 -ab) +ab

  = 1

  \boxed{\dfrac{\sin^3{\theta}+\cos^3{\theta}}{\sin{\theta}+\cos{\theta}}+\sin{\theta}\cos{\theta}=1}

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If the pattern continues how many cups of milk does George need to make 6 batches of muffins
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Answer:

see explanation

Step-by-step explanation:

If we consider the differences between consecutive terms, that is

\frac{3}{4} - \frac{3}{8} = \frac{3}{8}

1 \frac{1}{8} - \frac{3}{4} = \frac{3}{8}

1 \frac{1}{2} - 1 \frac{1}{8} = \frac{3}{8}

To obtain the next term in the pattern add \frac{3}{8} to the previous term.

batches = 5 ⇒ milk = 1 \frac{1}{2} + \frac{3}{8} = 1 \frac{7}{8}

batches = 6 ⇒ milk = 1 \frac{7}{8} + \frac{3}{8} = 2 \frac{1}{4}


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