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2 years ago

PLEASE HELP WILL MARK BRAINLIEST

Mathematics

1 answer:

77julia77 [94]2 years ago

6 0

Answer:

3.1

Step-by-step explanation:

sine 70= x/4

sin= opposite/hypotenuse

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Which point on the number line best represents √67?

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3 years ago

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3 years ago

Which of the following is an arithmetic sequence?

enot [183]

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

$4 - 2 = 2$ .
$8 - 4 = 4$ .
$16 - 8 = 8$ .

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

$4 - 12 = -8$ .
$\displaystyle \frac{4}{3} - 4 = -\frac{8}{3}$ .
$\displaystyle \frac{16}{3} - \frac{4}{3} = \frac{12}{3} = 4$ .

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle -\frac{3}{2} - \left(-\frac{1}{2}\right) = -\frac{3}{2} + \frac{1}{2} = -1$ .
$\displaystyle -\frac{5}{2} - \left(-\frac{3}{2}\right) = -\frac{5}{2} + \frac{3}{2} = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle \frac{1}{2} - \left(-\frac{1}{2}\right) = \frac{1}{2} + \frac{1}{2} = 1$ .
$\displaystyle -\frac{1}{2}\right - \frac{1}{2} = -1$ .

The differences are varying between $1$ and $-1$ . As a result, this option is not an arithmetic sequence.

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3 years ago